decimal word problems problem solving

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Decimal Word Problem Worksheets

Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.

Adding Decimals Word Problems

Decimal word problems presented here help the children learn decimal addition based on money, measurement and other real-life units.

• Download the set

Subtracting Decimals Word Problems

These decimal word problem worksheets reinforce the real-life subtraction skills such as tender the exact change, compare the height, the difference between the quantities and more.

Decimals: Addition and Subtraction

It's review time for grade 4 and grade 5 students. Take these printable worksheets that help you reinforce the knowledge in adding and subtracting decimals. There are five word problems in each pdf worksheet.

Multiplying Decimals Whole Numbers

Reduce the chaos and improve clarity in your decimal multiplication skill using this collection of no-prep, printable worksheets. A must-have resource for young learners looking to ace their class!

Decimal Division Whole Numbers

Revive your decimal division skills with a host of interesting lifelike word problems involving whole numbers. Keep up with consistent practice and you’ll fly high in the topic in no time!

Multiplying Decimals Word Problems

Each decimal word problem involves multiplication of a whole number with a decimal number. 5th grade students are expected to find the product and check their answer using the answer key provided in the second page.

Dividing Decimals Word Problems

These division word problems require children to divide the decimals with the whole numbers. Ask the 6th graders to perform the division to find the quotient by applying long division method. Avoid calculator.

Decimals: Multiplication and Division

These decimal worksheets emphasize decimal multiplication and division. The perfect blend of word problems makes the grade 6 and grade 7 children stronger in performing the multiplication and division operation.

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Decimal Word Problem Worksheets

Decimal word problems are mathematical exercises or questions that involve the use of decimal numbers to solve real-world scenarios or situations. These problems require students to apply their understanding of decimals and mathematical operations to find solutions. They are a common component of math curricula and serve as an essential tool for reinforcing and enhancing math skills.

Decimal word problems come in various forms, covering a wide range of topics such as money, measurements, percentages, and more. For example, a typical decimal word problem might involve calculating the total cost of items when prices are expressed in decimal form or finding the percentage increase or decrease in a quantity over time. These problems provide a practical context for applying decimal arithmetic in everyday situations, making math more relatable and applicable to students’ lives.

One of the primary benefits of working on decimal word problems is their ability to improve math skills. First and foremost, they require students to have a solid understanding of decimal numbers, including place value and the four fundamental operations: addition, subtraction, multiplication, and division. By solving these problems, students reinforce their grasp of these essential mathematical concepts.

This worksheet is a set of mathematical word problems designed to practice operations with decimal numbers. The problems cover various everyday scenarios that involve adding, subtracting, multiplying, and dividing decimals, such as shopping, dividing slices of pizza, and calculating distances. Each problem requires the student to read the situation, understand the question being asked, and apply their knowledge of decimals to find the solution.

The worksheet aims to teach students practical applications of decimal arithmetic in real-world situations. It encourages the development of problem-solving skills by requiring students to interpret textual information and convert it into mathematical equations. Additionally, the worksheet helps students to improve their numerical fluency with decimals and understand the importance of precision in everyday calculations.

This worksheet is a collection of word problems centered around decimal calculations, presenting a second series of exercises that build upon foundational skills with decimals. The problems are structured in a multiple-choice format, offering various scenarios that involve financial transactions, measurements of liquids, and counts of objects to challenge the student’s understanding of decimals. Each question demands careful reading and the application of mathematical concepts to choose the correct answer from the provided options.

The worksheet is designed to reinforce students’ skills in working with decimals in more complex situations, often involving multi-step calculations. It aims to enhance critical thinking by requiring students to choose the most logical answer from a set of possibilities, thereby testing not only their computational skills but also their reasoning and elimination skills. Moreover, the variety of contexts in the problems helps students appreciate the broad applicability of decimals in everyday life, from managing money to measuring quantities.

This worksheet contains a series of word problems that focus on the application of decimals in various real-world contexts, such as shopping, traveling, cooking, and geometry. The problems increase in complexity and incorporate elements like percentage discounts, speed and time calculations, as well as area and perimeter computations. The format of the worksheet requires students to read, interpret the scenario, and perform the necessary decimal operations to arrive at the answer.

The objective of this worksheet is to deepen students’ understanding of decimal numbers by applying them to more advanced and diverse mathematical situations. It aims to build proficiency in converting word problems into mathematical expressions involving decimals and to solve these problems accurately. Additionally, it encourages the development of critical thinking skills as students must understand the context, extract relevant information, and determine the correct mathematical procedures to use in each unique problem.

How to Solve Decimal Word Problems

• Read the Problem Carefully: Begin by carefully reading the word problem to understand the context and what is being asked. Identify the key information, such as the values given and the unknowns.
• Define Variables: Assign variables to the unknown quantities. Typically, you will use letters like ‘x’ or ‘y’ to represent these unknowns.
• Translate Words into Math: Convert the information in the word problem into mathematical expressions or equations. Look for keywords that indicate mathematical operations (e.g., “add,” “subtract,” “multiply,” “divide,” “more than,” “less than”).
• Set Up Equations: Use the information you’ve gathered to set up one or more equations that represent the relationships in the problem. You may need to use addition, subtraction, multiplication, division, or a combination of these operations.
• Solve the Equations: Solve the equations to find the values of the unknowns. This may involve performing arithmetic operations on decimals.
• Check Your Solution: Ensure that your solution makes sense in the context of the problem. Does it answer the question asked in the word problem?
• Present Your Answer: Write down your final answer in a clear and concise manner, often including units if applicable.

Let’s illustrate these steps with two examples:

A store is having a sale, and a $50 item is now 20% off. What is the sale price?

Step 1: Read the problem carefully. We need to find the sale price of an item after a 20% discount.

Step 2: Define Variables. Let ‘x’ represent the sale price.

Step 3: Translate Words into Math. We know that a 20% discount means we pay 80% of the original price. So, we can write this as an equation: 80% of $50 is equal to ‘x.’

Step 4: Set Up Equations. Convert the percentage to a decimal (80% = 0.80) and set up the equation: 0.80 * $50 = x.

Step 5: Solve the Equations. Calculate: 0.80 * $50 = $40.

Step 6: Check Your Solution. The sale price is $40, which makes sense in the context of the problem.

Step 7: Present Your Answer. The sale price is $40.

A recipe calls for 2/3 cup of sugar. If you want to make 1.5 times the recipe, how much sugar do you need?

Step 1: Read the problem carefully. We need to find the amount of sugar needed for 1.5 times the recipe.

Step 2: Define Variables. Let ‘x’ represent the amount of sugar needed.

Step 3: Translate Words into Math. The problem asks for 1.5 times the original amount of sugar, so we need to multiply the original amount by 1.5.

Step 4: Set Up Equations. Write the equation: (2/3) * 1.5 = x.

Step 5: Solve the Equations. Calculate: (2/3) * 1.5 = 1.0. So, you need 1.0 cups of sugar.

Step 6: Check Your Solution. Using 1.0 cups of sugar for 1.5 times the recipe is reasonable.

Step 7: Present Your Answer. You need 1.0 cups of sugar.

Calcworkshop

Decimal Word Problems Simple How-To w/ 13+ Examples!

// Last Updated: October 23, 2020 - Watch Video //

Have you ever found yourself stuck on a decimal word problem and not quite sure what to do?

Jenn, Founder Calcworkshop ® , 15+ Years Experience (Licensed & Certified Teacher)

Don’t worry!

You’re in good company because we can all relate to struggling with word problems and wondering how to begin.

Steps In Solving Word Problems

The good thing is that there are steps and tools that you can use that will help to read word problems effectively and boost your confidence.

All you have to do is remember the FACTS !

How To Solve A Word Problem

• Focus on what you know and not on what you don’t know. Sometimes just looking at word problems can overwhelm us even before we’ve read a single word. The key to problem-solving, especially problem solving with decimals, is to focus on what you know.
• Actively participate . This means you need to circle or underline keywords or phrases, write down important information that the problem is presenting. Once you write down or mark up the word problem, you will quickly realize that you are always given a ton of information to work with, now you just need to …
• Choose a method and go for it! What keywords pop out at you? Does it tell you to add or subtract decimals? Multiply, divide, or compare? Maybe you need to approximate so that rounding may be the best method. Or do you need to use more than one method or operation to calculate the correct answer? What is the problem asking, and what is provided that will help you get there?
• And once you’ve chosen your method, all that’s left is to try it ! Don’t give up, even if it’s challenging. The best thing you can do is try! So, try your method of choice and locate the answer you need.
• Lastly, you need to Scrutinize your work . All this means is that you need to ask yourself, “does my answer make sense?”

Step-by-Step Example

Let’s look at an example.

Helen’s monthly salary is $5463.79.

Her monthly expenses are as follows:

• Rent $2,700
• Transportation $715.12
• Food $650.50
• Utilities $732.48
• Phone & Cable $95.96
• Insurance $156.27

After paying all of her expenses, how much money does Helen have left?

First, we FOCUS on what we know, and we become ACTIVE readers by marking up our problem and writing down keywords and phrases.

Words And Phrases To Math Symbols

Now we CHOOSE our method, which will involve two steps:

• Adding to find the sum of all of Helen’s monthly bills.
• Subtracting to see the amount leftover.

And finally, we ask ourselves, does our answer make SENSE ?

Yes, Helen has $413.46 remaining after paying all of her bills.

This video will walk you through countless examples of problem-solving using decimals, just like the one above, so that you can attack word problems (like those on IXL ) with confidence!

All you need are the FACTS!

Worksheet (PDF) — Hands on Practice

Practice solving decimal word problems with hands-on worksheets (addition, subtraction, multiplication, division) & step-by-step solutions.

Practice Problems Step-by-Step Solutions

Decimal Word Problems – Lesson & Examples (Video)

1 hr 22 min

• Introduction to Video: Problem Solving with Decimals
• 00:00:37 – Review of Keywords and Overview of Problem Solving Steps: FACTS
• 00:08:02 – Solve each one-step problem using decimals (Examples #1-4)
• 00:24:10 – Solve the one-method word problem with decimals (Examples #5-8)
• 00:46:24 – Solve the application problem using two-methods (Examples #9-10)
• 01:02:18 – Solve the decimal word problem using more than one technique (Examples #11-12)
• 01:13:36 – Solve using estimation (Examples #13-14)
• Practice Problems with Step-by-Step Solutions
• Chapter Tests with Video Solutions

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Decimal Word Problems Worksheets

Decimal word problem worksheets help students gain a clear understanding of decimals and word problems based on them. The decimal number system is a standardized number system that denotes any integer or non-integer value. This math topic has great significance in many real-life applications like calculating money, weight, length, and many more. By solving the problems available in these worksheets, students will attain step by step understanding and clarity on how to solve decimal word problems.

Benefits of Decimal Word Problems Worksheets

Decimal word problem worksheets provide a comprehensive and precise understanding of decimal word problems. These worksheets offer a wide variety of questions geared towards improving a child's conceptual fluency on decimals.

These worksheets are well-curated to help students gradually solve the rising difficulty level of questions. The primary purpose of these worksheets is to promote a problem-solving mindset in students.

Download Decimal Word Problems Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

☛ Check Grade wise Decimal Worksheets

• 4th Grade Decimals worksheets
• Decimals worksheets for Grade 5

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How to Perform Operations of Decimals: Word Problems

Greetings, budding mathematicians! Today, we're going to jump into an adventure with decimals. Working with decimals is a fundamental math skill that you'll use in many aspects of life, from managing money to measuring distances.

Introduction to Decimal Operations

First things first, let’s talk about decimals. A decimal is a way of representing a number that’s less than one, or a number that’s a whole and a fraction together. When you work with decimals, the same rules apply as when you’re working with whole numbers, but the decimal point plays a crucial role.

There are four major operations that you can perform on decimals:

• Subtraction
• Multiplication

Now, let’s tackle some word problems involving decimal operations.

Step-By-Step Guide to Solving Word Problems with Decimal Operations

Step 1: understand the problem.

First and foremost, carefully read through the problem. Identify what you know and what you need to find out.

Step 2: Plan the Solution

Next, decide which operation (addition, subtraction, multiplication, or division) will help you solve the problem. This will depend on what the problem is asking.

Step 3: Carry Out the Operation

Perform the operation on the decimals. Remember to align the decimal points when you’re adding or subtracting, and apply the rules for multiplication and division of decimals correctly.

Step 4: Check the Answer

Finally, check if your answer makes sense in the context of the problem.

Consider this problem: Laura bought \(2.3\) kilograms of apples and \(1.5\) kilograms of grapes. How many kilograms of fruit did she buy in total?

Step 1: Understand that you know the weight of apples and grapes separately, and you need to find the total weight.

Step 2: Realize that to find the total, you need to add the weights together.

Step 3: Add the weights: \(2.3\ kg + 1.5\ kg = 3.8\ kg\).

Step 4: Check that the answer makes sense. Laura bought \(2.3\ kg\) of apples and \(1.5\ kg\) of grapes, so it makes sense that she bought \(3.8\ kg\) in total.

Keep practicing with different word problems, and you’ll get the hang of decimal operations in no time. Remember, the more you practice, the better you’ll get. Happy calculating!

by: Effortless Math Team about 1 year ago (category: Articles )

Effortless Math Team

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Easy ways of solving decimal word problems.

Get a daily decimal word problems practice and learn how to apply operations with decimals to solve real world problems.

This set of word problems involving decimals are perfect for your kid’s quick understanding when to add, subtract, multiply and divide decimals in real life. As such, we have provided a mixture of problems involving all order of operations.

One admirable thing here is our fun strategies with easy ways of solving decimal word problems . In addition to this, these decimal problems are formulated in simple language, with steps and tools that will help kids to read word problems effectively and boost their confidence.

• Fourth Grade
• Adding 3 or more decimals word problems grade 4
• Adding and subtracting decimals word problems

What are key steps to consider when solving decimal word problems?

Provided here are simple key steps to consider when solving decimal word problems .

First of all, reading to have a full mastery is a perfect step towards perfect solving word problems involving decimals .

Next, underline key words and write down important information presented in the problem.

At this level, you can now choose a method of solving, i.e. are you adding, subtracting, multiplying, dividing or comparing decimals

Finally, you can now solve the problem with your chosen method and of course at the end of the day, check to find out if your answer makes sense.

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Decimals word problems

Adding and subtracting decimals.

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Word Problems on Decimals

Word problems on decimals are solved here step by step.

1.  The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1 Other number = 42.63 ÷ 2.1

Therefore, the other number is = 20.3 Answers: 20.3

2. John bought 9.25 m of cloth for $425.50. Find the cost price per metre. Solution: Cloth bought by John = 9.25 m Cost of 9.25 m = $425.50 Cost per metre = 425.50 ÷ 9.25 = 42550 ÷ 925

The cost of the cloth per metre = $ 46 Answers: $46 3. One kg Basmati rice costs $ 43.75. Find the cost of 17 kg of rice. Solution: Cost of 1 kg rice = 43.75 Cost of 17 kg rice = 43.75 × 17

Therefore, 17 kg rice cost $743.75 Answers: $743.75

4. Nitheeya spent $35.75 on Physics book and $32.60 on Chemistry book. Then find the total amount spent by Nitheeya.

Money spent on Physics book     =      35 . 75

Money spent on Chemistry book =    + 32 . 60

                  Total amount spent =       68 . 35

Hence, the amount spent by Nitheeya is 68.35.

5. Nairitee bought 24.50 kg onions, 12.40 kg potatoes and 7.450 kg tomatoes. Find the weight of the vegetables she bought in all.

    Weight of onions = 24.50 kg

 Weight of potatoes = 12.40 kg

Weight of tomatoes = 7.450 kg

Therefore, total weight of the vegetables bought is:

           24 . 500 kg

       + 12 . 400 kg

        +   7 . 450 kg

          44 . 350 kg

Thus, total weight of the vegetables bought = 44.350 kg.

6.   Michael  spent $ 90.50 and  Robert  spent $ 67.25 on a picnic. How much more money was spent by  Michael  than  Robert ?

Michael spent =   $ 90 . 50

Robert spent = -  $ 67 . 25

   Difference =     $ 23 . 25

Therefore, Michael spent $ 23.25 more than Robert.

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Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

Like and Unlike Decimals | Concept of Like and Unlike Decimals | Defin

Concept of like and unlike decimals: Decimals having the same number of decimal places are called like decimals i.e. decimals having the same number of digits on the right of the decimal

Conversion of Unlike Decimals to Like Decimals |Examples of Conversion

In conversion of unlike decimals to like decimals follow the steps of the method. Step I: Find the decimal number having the maximum number of decimal places, say (n). Step II: Now, convert each

Converting Decimals to Fractions | Solved Examples | Free Worksheet

In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from the given decimal and take as numerator.

Converting Fractions to Decimals | Solved Examples | Free Worksheet

In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:

Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.

Representing Decimals on Number Line | Concept on Formation of Decimal

Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.

Ordering Decimals | Comparing Decimals | Ascending & Descending Order

In ordering decimals we will learn how to compare two or more decimals. (i) Convert each of them as like decimals. (ii) Compare these decimals just as we compare two whole numbers ignoring

Worksheet on Word Problems on Addition and Subtraction of Decimals

Practice the questions given in the worksheet on word problems on addition and subtraction of decimals. Read the questions carefully to add or subtract the decimals as required.

Worksheet on Use of Decimal | Free Printable Decimals Worksheets

Practice the questions given in the worksheet on use of decimals in calculating money, in measuring the length, in measuring the distance, in measuring the mass and in measuring the capacity.

●  Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Subtraction of Decimal Fractions.

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.

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Decimal Word Problems Worksheets

Hulu Word Problems

Emoji Word Problems

Robot Decimals

Tik Tok Math

The Zoo Word Problems

Harry Potter Word Problems

Batman Decimal Word Problems

Video Game Word Problems

Wonder Woman

About These 15 Worksheets

Decimal word problem worksheets are designed to help students develop their mathematical skills by solving real-world problems that involve decimal numbers. These worksheets typically present scenarios where decimal numbers are used in everyday situations, such as money, measurements, or statistics. Decimal word problems are an essential part of mathematics education as they bridge the gap between abstract numerical concepts and their practical applications in daily life.

These worksheets are structured to challenge students to interpret written information, identify relevant decimal values, and perform arithmetic operations like addition, subtraction, multiplication, or division with decimals. By working through these problems, students not only reinforce their understanding of decimal place value but also develop critical problem-solving skills.

Decimal word problems can cover a wide range of topics and difficulty levels. For example, they might involve tasks like calculating the total cost of items, finding the average of a set of decimal values, converting measurements, or determining percentages in various scenarios. Some problems might require students to make decisions based on decimal calculations, enhancing their ability to apply mathematical concepts to real-life decision-making situations.

Educators often use decimal word problem worksheets as a part of their curriculum to assess students’ comprehension of decimal concepts and their ability to apply these concepts in practical contexts. These worksheets can be tailored to different grade levels, ensuring that students progressively build their skills as they advance in their mathematical education.

What Are Decimal Word Problems?

Decimal word problems are mathematical problems that involve decimal numbers and are presented in the form of worded descriptions or narratives. These problems require the application of decimal operations and concepts to find solutions.

Decimal word problems can cover a wide range of topics and real-life situations, including money, measurements, ratios, percentages, and data analysis. These problems often require understanding the relationships between decimals, performing calculations with decimals, and interpreting the results in the context of the problem.

Here are a few examples of decimal word problems across different contexts:

Money – “Mary went to the store and bought three items. The first item cost $8.95, the second item cost $12.75, and the third item cost $6.50. How much did Mary spend in total?”

Measurements – “A rectangular field has a length of 12.5 meters and a width of 8.75 meters. What is the area of the field?”

Ratios – “In a class of 30 students, 12 students are boys. What is the ratio of boys to girls in the class?”

Percentages – “A shirt is on sale for 25% off its original price of $40. What is the sale price of the shirt?”

Data Analysis – “In a survey of 100 people, 45% said they prefer tea over coffee. How many people prefer tea?”

Problems With Solutions

Problem 1 (Easy): Sara went shopping and bought three items. The prices of these items were $12.95, $5.75, and $8.50. What is the total cost of her purchase?

Solution: To find the total cost, simply add up the prices of the three items:

Total Cost = $12.95 + $5.75 + $8.50

Total Cost = $27.20

So, Sara’s total purchase cost is $27.20.

Problem 2 (Intermediate): A recipe calls for 1.25 cups of sugar. If you want to make 4 batches of the recipe, how many cups of sugar will you need in total?

Solution: To find the total amount of sugar needed for 4 batches, multiply the amount for one batch (1.25 cups) by 4:

Total Sugar = 1.25 cups/batch × 4 batches

Total Sugar = 5 cups

So, you will need 5 cups of sugar in total for 4 batches of the recipe.

Problem 3 (Difficult): A company’s quarterly revenue increased by 18.75% from the first quarter to the second quarter and then decreased by 12.5% from the second quarter to the third quarter. If the third-quarter revenue was $225,000, what was the revenue in the first quarter?

Solution: Let R be the revenue in the first quarter.

In the second quarter, the revenue increased by 18.75%, which can be represented as 1 + 0.1875 = 1.1875 times the first-quarter revenue.

In the third quarter, the revenue decreased by 12.5%, which can be represented as 1 – 0.125 = 0.875 times the second-quarter revenue.

Given that the third-quarter revenue is $225,000, we can set up an equation to find R:

0.875 * (1.1875 * R) = $225,000

First, calculate the value inside the parentheses:

1.1875 * R = $225,000 / 0.875

Now, divide both sides by 1.1875 to solve for R:

R = ($225,000 / 0.875) / 1.1875

R = $225,000 / 0.875 / 1.1875

R = $225,000 / 1.046875

R = $214,736.84

So, the revenue in the first quarter was approximately $214,736.84.

It is essential to pay attention to units of measurement, decimal place values, and any specific instructions or constraints given in the problem. Regular practice with decimal word problems will help improve your problem-solving skills and build confidence in working with decimal numbers in real-life scenarios.

What Types of Jobs and Careers Solve Decimal Word Problems?

These jobs require a strong understanding of decimals and the ability to apply decimal operations in practical situations. Here are a few examples:

Financial Analyst – Financial analysts work with numerical data, including decimal numbers, to analyze financial performance, evaluate investments, and make financial projections. They often deal with decimals when calculating ratios, percentages, returns, and analyzing financial statements.

Accountant – Accountants work with financial records, budgets, and transactions, which involve decimal calculations. They handle decimal numbers when performing calculations for expenses, revenues, taxes, budgets, and financial reports.

Architect or Civil Engineer – Architects and civil engineers use decimals extensively in their work, particularly when calculating measurements, dimensions, quantities, areas, and volumes for construction projects. Decimal accuracy is crucial in designing structures and ensuring proper specifications.

Data Analyst – Data analysts work with numerical data sets, including decimals, to derive insights and make data-driven decisions. They analyze and interpret decimal values when working with statistical data, percentages, ratios, and visualizations.

Scientist or Researcher – Scientists and researchers in various fields, such as chemistry, physics, biology, and environmental science, frequently encounter decimals in their data analysis. Decimal values are crucial for measurements, experimental results, statistical analysis, and mathematical modeling.

Retail Buyer or Merchandise Planner – Professionals in retail buying or merchandise planning often deal with decimal calculations when analyzing sales data, forecasting demand, calculating profit margins, and determining pricing strategies.

Surveyor – Surveyors use decimals when measuring and mapping land, boundaries, and property features. They make precise calculations involving decimal numbers to determine distances, angles, elevations, and land areas.

Quality Control Analyst – Quality control analysts work with decimals when conducting quality inspections, analyzing product specifications, and ensuring compliance with standards. Decimal measurements and calculations are essential for assessing tolerances and product specifications.

Pharmacists – Pharmacists regularly encounter decimals when calculating medication dosages, compounding prescriptions, and managing drug inventory. Precision and accuracy with decimals are critical in pharmaceutical calculations.

Statistician – Statisticians deal extensively with decimal numbers in data analysis, statistical modeling, and hypothesis testing. They use decimals to interpret and communicate findings, calculate probabilities, and perform various statistical calculations.

Decimal Word Problem Guided Practice | Addition & Subtraction

Also included in

Description

You will receive a PDF document containing the worksheet and answer key covering Adding & Subtracting Decimal Word Problems.

This worksheet is great in helping students identify which operation is being used in word problems. It gives students structure to break down the information they are given so they get on the right track to solving the word problems!

>> Click Here to Purchase the Bundle & Save

Be sure to check out the other Decimal resources below!

Decimal Task Cards

Decimals Handout or Topic Sheet

Converting Fractions, Decimals, & Percents Foldable

Fraction-Decimal Equivalents Foldable

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KB5042421: CrowdStrike issue impacting Windows endpoints causing an 0x50 or 0x7E error message on a blue screen

Microsoft has identified an issue impacting Windows endpoints that are running the CrowdStrike Falcon agent. These endpoints might encounter error messages 0x50 or 0x7E on a blue screen and experience a continual restarting state.

We have received reports of successful recovery from some customers attempting multiple restart operations on affected Windows endpoints.

We are working with CrowdStrike to provide the most up-to-date information available on this issue. Please check back for updates on this ongoing issue. 

Important:  We have released a USB tool to help automate this manual repair process. For more information, see  New recovery tool to help with CrowdStrike issue impacting Windows devices .

To resolve this issue, follow these instructions for your version of Windows.

Hold the power button for 10 seconds to turn off your device and then press the power button again to turn on your device.

On the Windows sign-in screen, press and hold the  Shift key while you select  Power >  Restart .

Restart your device. Note  You may be asked to enter your  BitLocker recovery key . When the device restarts, continue pressing F4 and then it will log you in to safe mode. Please note, for some devices, you need to press F11 to log in through safe mode.

Once in safe mode, right-click Start , click  Run , type  cmd  in the Open box, and then click OK .

If your system drive is different than C:\, type C: and then press Enter . This will switch you to the C:\ drive.

Type the following command and then press Enter:

CD C:\Windows\System32\drivers\CrowdStrike

Note In this example, C is your system drive. This will change to the CrowdStrike directory.

Once in the CrowdStrike directory, locate the file matching “C-00000291*.sys”. To do this, type the following command and then press Enter :

dir C-00000291*.sys

Permanently delete the file(s) found. To do this, type the following command and then press Enter .

del C-00000291*.sys

Manually search for any files that match “C-00000291*.sys” and delete them.

Restart your device.

On the Windows sign-in screen, press and hold the  Shift  key while you select  Power   >  Restart .

Restart your device. Note  You may be asked to enter your  BitLocker recovery key .

When the device restarts, continue pressing F4 and then it will log you in to safe mode.

Once in safe mode, right-click Start , click  Run , type  cmd  in the Open box, and then click  OK .

Type in the following command and then press Enter :

Note  In this example C is your system drive. This will change to the CrowdStrike directory.

Recovery methods

If you receive the Windows Recovery screen, use one of the following methods to recover your device.

Method 1: Use Enable safe mode

Hold the power button for 10 seconds to turn off your device and thenpress the power button again to turn on your device.

On the Windows sign-in screen, press and hold the  Shift  key while you select  Power >   Restart .

After your device restarts to the  Choose an option  screen, select  Troubleshoot  >  Advanced options  >  Startup Settings  >  Enable safe mode . Then, restart your device. Note  You might be asked to enter your  BitLocker recovery key . When the device restarts, continue pressing F4 and then it will log you in to safe mode. Please note, for some devices, you need to press F11 to log in through safe mode.

If the screen asks for a BitLocker recovery key, use your phone and log on to  https://aka.ms/aadrecoverykey . Log on with your Email ID and domain account password to find the BitLocker recovery key associated with your device. To locate your BitLocker recovery key, click Manage Devices > View Bitlocker Keys > Show recovery key .

If your system drive is different than C:\, type C: and then press  Enter . This will switch you to the C:\ drive.

Type the following command and then press Enter :

Tip:  CD C:\Windows\System32\drivers\CrowdStrike

Note  In this example, C is your system drive. This will change to the CrowdStrike directory.

After your device restarts to the  Choose an option  screen, select  Troubleshoot  >  Advanced options  >  Startup Settings  >  Enable safe mode .  Then restart your device again. Note  You might be asked to enter your  BitLocker recovery key . When the device restarts, continue pressing F4 and then it will log you into safe mode. Please note, for some devices, you need to press F11 to log in through safe mode.

If the screen asks for a BitLocker recovery key, then use your phone and log on to  https://aka.ms/aadrecoverykey . Log on with your Email ID and domain account password to find the bit locker recovery key associated with your device. To locate your BitLocker recovery key, click Manage Devices > View Bitlocker Keys > Show recovery key .

Select the name of the device where you see the BitLocker prompt. In the expanded window, select View BitLocker Keys . Go back to your device and input the BitLocker key that you see on your phone or secondary device.

Note  In this example, C is your system drive. This will change to the CrowdStrike directory.

Method 2: Use System Restore

After your device restarts to the  Choose an option  screen, select  Troubleshoot  >  Advanced options  >  System Restore .

If the screen asks for a BitLocker recovery key, use your phone and log on to  https://aka.ms/aadrecoverykey . Login with your email id and domain account password to find the bit locker recovery key associated with your device. To locate your BitLocker recovery key, click Manage Devices > View Bitlocker Keys > Show recovery key .

Click Next  on System Restore.

Select the Restore option in the list, click  Next , and then click  Finish .

Click Yes  to confirm the restore. Note  This will perform just the Windows system restore and personal data should not be impacted. This process might take up to 15 minutes to complete.

If the screen asks for a BitLocker recovery key, use your phone and log on to  https://aka.ms/aadrecoverykey . Log in with your Email ID and domain account password to find the bit locker recovery key associated with your device. To locate your BitLocker recovery key, click Manage Devices > View Bitlocker Keys > Show recovery key .

Select the Restore option in the list, click Next , and then click  Finish .​​​​​​​

Contact CrowdStrike

If after following the above steps, if you still experience issues logging into your device, please reach out to CrowdStrike for additional assistance.

Start your PC in safe mode in Windows

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Decimal Word Problems

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openai/grade-school-math

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Grade School Math

[blog post] [paper].

State-of-the-art language models can match human performance on many tasks, but they still struggle to robustly perform multi-step mathematical reasoning. To diagnose the failures of current models and support research, we're releasing GSM8K, a dataset of 8.5K high quality linguistically diverse grade school math word problems. We find that even the largest transformer models fail to achieve high test performance, despite the conceptual simplicity of this problem distribution.

Dataset Details

GSM8K consists of 8.5K high quality grade school math problems created by human problem writers. We segmented these into 7.5K training problems and 1K test problems. These problems take between 2 and 8 steps to solve, and solutions primarily involve performing a sequence of elementary calculations using basic arithmetic operations (+ - / *) to reach the final answer. A bright middle school student should be able to solve every problem.

The raw data files can be found in:

• grade_school_math/data/train.jsonl
• grade_school_math/data/test.jsonl

Each line of those files corresponds to a single grade school math problem, saved as a json dictionary (with a "question" key and an "answer" key). The answer is formatted such that it uses calculation annotations and so that the final numeric solution is the final line of the solution, preceded by #### .

Calculation Annotations

Our models frequently fail to accurately perform calculations. Although larger models make fewer arithmetic mistakes than smaller models, this remains a common source of errors. To mitigate this issue, we train our models to use a calculator by injecting calculation annotations into the training set. At training time, we simply finetune on this language data as is. At test time, a calculator will override sampling when the model chooses to use these annotations. An example implementation of the calculator sampling can be found in calculator.py .

If you would like to remove the calculator annotations, simply remove any string that starts with << and ends with >> .

Solution Extracting

To extract the final numeric solution for a particular question, simply parse the completion to extract the numeric value immediately following the #### token. Some example python code to do so is shown in dataset.py:is_correct .

Socratic Dataset

During our research, we also investigated a modified solution format that injects automatically generated "Socratic subquestions" before each step. Although we ultimately did not use this format for any experiments in the paper, we make this data available to anyone who is interested.

We show an example below, with the socratic subquestions in bold:

We generated each Socratic subquestion by conditioning on each ground truth (contractor-provided) step in a solution, using a model specifically finetuned for this task (on around 800 examples). To construct the full Socratic dataset, each step in the solution was prefixed by the model-generated Socratic subquestion. Steps were otherwise left untouched.

These data files can be found in:

• grade_school_math/data/train_socratic.jsonl
• grade_school_math/data/test_socratic.jsonl

View Model Solutions

For each test question, we provide solutions generated from 6B finetuning, 6B verification, 175B finetuning and 175B verification. This data can be found in:

• grade_school_math/data/example_model_solutions.jsonl

To view these results problem-by-problem, run:

Note: These model-generated samples used a slightly older version of the calculator. Previous implementation bugs led to calculator failures in roughly 1% of model samples. Those issues have been fixed in the codebase, but since the samples have not been regenerated, occasional calculation errors are present.

Please use the below BibTeX entry to cite this dataset:

We present a basic example of training a GPT2 sized model and using the calculator in the sampling process. We include this code for illustrative purposes only. This pipeline was not used for any experiments in the paper.

Training a Model

Sampling from the Model

The core calculator sampling logic can be found in calculator.py:sample . Note that this code is inefficient as implemented. Specifically, the function does not support batches, and does not cache activations from previous tokens.

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