rounding problem solving

Rounding & Estimation Word Problems

Related Pages Math Worksheets Lessons for Fourth Grade Free Printable Worksheets

Printable “Rounding Numbers” Worksheets: Round Numbers using the Number Line Round to nearest 10 Round to nearest 100 Round to nearest 1000, 10000, 100000 Rounding Word Problems

Rounding Word Problems Worksheets

In these free math worksheets, students practice how to use rounding to estimate and check the answers to word problems.

How to use estimation or rounding? Estimation or rounding is a useful tool for checking answers because it allows you to quickly determine if an answer is reasonable or not.

Here are some steps you can follow to use estimation to check an answer: Step 1: Make sure you understand what you are being asked to find and what information you have been given. Step 2: Round any numbers given in the problem to the nearest whole number, or to the nearest ten, hundred, or thousand, depending on the level of accuracy needed. Step 3: Use mental math to perform calculations quickly. For example, if you need to add 23 and 45, round them both to 20 and 50 and add those instead. This will give you an estimate that is close to the actual answer. Step 4: Once you have an estimate, compare it to the actual answer you calculated. If the estimate is close to the actual answer, you can be confident that your calculation is correct. If the estimate is significantly different from the actual answer, you may need to review your work and make corrections.

By using estimation to check your answers, you can catch errors early and avoid making mistakes that could lead to incorrect results.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Rounding Word Problems Worksheets .

More Rounding Word Problems Worksheets

Printable (Answers on the second page.) Rounding Worksheet #1 Rounding Worksheet #2 Rounding Worksheet #3 Rounding Worksheet #4 Rounding Worksheet #5

Online Round multi-digit number Worksheet #1

Rounding Multi-digit Numbers to any place value

Rounding Word Problems Use your estimated answer for part a) to check your answer for part b).

• For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie. a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding. b. Exactly how many cookies did Connie and Esther bake?
• Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents. How many tickets were sold to parents, teachers, and students? a. About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate. b. Exactly how many tickets were sold to parents, teachers, and students?
• From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens. a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011. (Round the addends to the nearest thousand to estimate.) b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
• There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months? a. About how many hits (roud ro the nearest thousand) did the website have during January and February? b. Exactly how many hits did the website have during January and February?
• On Sunday, 77,098 fans attended a New York Jets football game. The same day 3,397 more fans attended a New York Giants game than the Jets game. How many football fans watched the Jets and Giants play on Sunday? a. Round each number to the nearest thousand to find an estimate of how many fans there are. b. What was the actual number of fans who watched the games?

Related Lessons & Worksheets

Round to nearest 10 (2-digit) (eg. 45 -> 50) Round to nearest 10 (3-digit) (eg. 725 -> 730) Round to nearest 100 (3-digit) (eg. 651 -> 700) Round to nearest 10 or 100 (3-digit)

Round to nearest 100 (4-digit) (eg. 2,754 -> 2,800) Round to nearest 1000 (eg. 3,542 -> 4,000) Round to nearest 10, 100, 1000

Round the nearest thousands

More Printable Worksheets

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Rounding to the Nearest 10 Worksheets

Welcome to our Rounding to the nearest 10 worksheets page. Here you will find a wide range of free printable number Worksheets, which will help your child learn to round numbers to the nearest ten.

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Rounding to the nearest 10 Worksheets

When you are rounding a number to the nearest 10, you are trying to find out which multiple of 10 your number is closest to.

The golden rule with rounding is that if a number is exactly halfway between two multiples of 10, you always round up.

How to round a number to the nearest 10

Look at the ones digit.

• if it is less than 5 then round the number down by changing the ones digit to zero;
• if it is 5 or more then round the number up by adding one on to the tens digit and changing the ones digit to zero.
• 37 rounds up to 40 because the ones digit is 7.
• 63 rounds down to 60 because the ones digit is 3.
• 145 rounds up to 150 because the ones digit is a 5.

Here you will find a range of free printable math worksheets to help your child learn to round numbers to the nearest 10.

These sheets are carefully graded so that the easier sheets come first and give extra support.

The numbers in Sheets 1 to 4 go up to 100. Sheets 5 & 6 go up to 1000.

Each sheets comes with a separate printable answer sheet.

Using these sheets will help your child to:

• round numbers to the nearest 10;
• position numbers to 100 on a number line.

All the free Rounding Worksheets in this section support the Elementary Math Benchmarks.

These sheets are aimed at kids in 2nd and 3rd Grade.

Want to test yourself to see how well you have understood this concept?.

• Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

• Rounding to the nearest 10 up to 100 Worksheets
• Rounding to the nearest 10 up to 1000 Worksheets
• Rounding to the nearest 100 and 1000 Worksheets
• More related resources

Rounding to the nearest 10 Online Quiz

Rounding to the nearest 10 worksheets with numbers up to 100.

• Rounding to the nearest 10 Sheet 1
• Sheet 1 Answers
• PDF version
• Rounding to the nearest 10 Sheet 2
• Sheet 2 Answers
• Rounding to the nearest 10 Sheet 3
• Sheet 3 Answers
• Rounding to the nearest 10 Sheet 4
• Sheet 4 Answers

Rounding Numbers (to the nearest 10) up to 1000

• Rounding to the nearest 10 Sheet 5
• Sheet 5 Answers
• Rounding to the nearest 10 Sheet 6
• Sheet 6 Answers

Looking for something harder?

The rounding numbers worksheets in this section involve rounding numbers to the nearest 100.

They are at a more challenging level than those on this page.

• Rounding to the nearest 100 worksheets
• Rounding to the nearest 1000 worksheets

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Rounding Challenges to the nearest 10, 100 or 1000

Here is our rounding challenges collection which will give your child an opportunity to apply their rounding learning.

The challenges can be tackled individually or with a partner.

Each challenge involves using rounding knowledge and properties of numbers to work out the correct answer.

• apply their knowledge of rounding to the nearest 10, 100 or 1000;
• develop their problem solving skills;
• develop their understanding about place value and properties of numbers.

All the rounding challenges support elementary math benchmarks.

• Rounding Numbers Worksheet Challenges

Online Rounding Practice Zone

In our Rounding Practice zone, you can practice rounding a range of numbers. You can round numbers to the nearest 10, 100 or even 1000. Want to round numbers to the nearest decimal place, you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Rounding Practice Zone

Rounding Off Worksheet Generator

Here is our generator for generating your own rounding off numbers worksheets.

Our generator will create the following worksheets:

• rounding off to the nearest 10, 100, 1000 or 10000
• rounding to the nearest whole, to 1dp, or 2dp.
• rounding off to 1sf, 2sf or 3sf
• Rounding Off Numbers Worksheets

More Place Value Worksheets

Below are our selection of Place Value, Ordering and Rounding Worksheets

The following worksheets involve different Second Grade place value activities such as counting in hundreds, tens and ones, reading, writing and ordering numbers to Hundreds, and know what number each digit represents.

Using these worksheets will help your child to:

• learn to count by hundreds, tens, fives, twos and ones;
• learn their place value to Hundreds;
• order numbers to 100.
• Second Grade Place Value Worksheets 3 Digits
• 2nd Grade Counting Worksheets 1s 2s 5s 10s 100s
• Basic Math Worksheets - Ordering 2-digit numbers
• Number Line Worksheets 3 Digits

Number Line Worksheets to 100

Using these sheets will help you to:

• count on and back in ones to 100;
• position numbers up to 100 on a number line.
• Number lines to 100

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Math Interventions

Introduction.

• Subitizing Interventions
• Counting Interventions: Whole Numbers Less Than 30
• Counting Interventions: Whole Numbers Greater Than 30 (Place Value)
• Counting Interventions: Fractions
• Counting Interventions: Decimals
• Composing and Decomposing Numbers Interventions
• Rounding Interventions

Response to Error: Rounding Numbers

Feedback during the lesson, strategies to try after the lesson.

• Number Sense Lesson Plans
• Addition and Subtraction Facts
• Multiplication and Division Facts
• Computational Fluency Lesson Plans
• Understanding the Problem Interventions
• Planning and Executing a Solution Interventions
• Monitoring Progress & Reflecting on a Solution Interventions
• Problem-Solving Process Interventions
• Problem-Solving Lesson Plans
• Identifying Essential Variables Interventions
• Direct Models Interventions
• Counting On/Back Interventions
• Deriving Interventions
• Interpreting the Results Interventions
• Mathematical Modeling Lesson Plans
• Math Rules and Concepts Interventions
• Math Rules and Concepts Lesson Plans

Another way to develop a student's understanding of quantity is to teach him to round numbers. Rounding numbers to the nearest ten or hundreds place is a foundational skill that will enable a student to estimate solutions to numerical operations (for example, 52 + 46 is close to 50 + 50, so the answer will be close to 100). This page includes intervention strategies that you can use to support your students in this area. As you read, consider which of these interventions best aligns with your student's strengths and needs in the whole-learner domains.

Explicit Instruction

If you are intervening to reinforce your student's ability to round numbers, you should start by explicitly teaching the skill. This sounds like:

• Explain the Skill/Concept.  Define rounding, and explain activity. ( "Rounding numbers means that we figure out an easier number to work with that has a similar value to the number we start with. If working with two-digit numbers, we might round to the nearest ten. If working with three-digit numbers, we might round to the nearest 100." "Today, we are going to learn strategies for rounding to the nearest ten." )
• Model Skill with Examples.  Think aloud about how to round a number.  ( "If I have a number, such as 36, I have to ask myself: Is 36 closer to or just about the same as 30 or 40. I can look at 36 on a number line to figure this out. When I look at 36 on a number line, I can see that it's closer to 40 than to 30, so I should round up to 40 because 36 is just about the same as 40." )
• Model Skill with Non-Examples.  Think aloud about how to round a number incorrectly. ( "What if I rounded 36 down to 30? This number is actually further from 36 than 40 is , s o rounding down gives me a less accurate estimation than rounding up to 40. Rounding to the closest ten will be especially important as we complete operations with these numbers." )
• Practice the Skill.  Engage in one or more of the activities below to practice the skill with your student, providing feedback as necessary. ( "Now you try. I'm going to show you..." )

Note:   The number 35 is halfway between 30 and 40, so the above strategy of seeing which decade number the number is closest to won't work. In this case, you need to teach the exception to the rule. Anytime you see a 5 in the place to the right of the digit you're rounding to, you round up. 

Activity A: Rounding with Number Lines or Hundreds Charts If your student is able to count with a number line or hundreds chart but struggles to round numbers to the nearest 10, teach him Rounding with Number Lines or Hundreds Charts (Petti, 2017). In this strategy, a teacher uses a number line or a hundreds chart to help a student conceptualize if the nearest ten is bigger or smaller than the number being rounded (for example, is 36 closer to 30 or 40?). To do this, the teacher gives the student a number, such as 36, and has him quantify the distance between 30 and 36 (6 spaces on the number line). Then, she has him quantify the distance between 36 and 40 (4 spaces on the number line). Then, the student has to decide which one is closer (40), which will be the decade number that the number should be rounded to. Note: This intervention can also be used to teach rounding to the nearest hundred, as long as students are able to skip count by 10s.

Rounding with Number Lines or Hundreds Charts in Action  Note: For purposes of clarity, the example below focuses on using a number line to teach this intervention. 

Teacher: We are going to practice rounding a number to the nearest ten. I'll give you a number, and then you'll figure out whether it should be rounded to the ten below it or above it by figuring out which is closer. You'll figure it out by counting the spots from your number to the others. Your number is 36. First, how far is 36 from 30?

Student: [Starting at the number 30 and pointing to each tally on the number line up to 36.] 1, 2, 3, 4, 5, 6... It's 6. 

Teacher: Now count from 36 up to 40.

Student: 1, 2, 3, 4... It's 4 units away. So 36 is closer to 40 than 30! We'd round 36 up to 40!

Petti, W. (2017). Mathcats: Rounding idea bank. Retrieved from http://mathcats.org/ideabank/rounding.html

Activity B: Rounding with Base Ten Blocks If your student has learned how to use base ten blocks but struggles to round numbers to the nearest 10 or 100, use these tools to teach rounding (Petti, 2017). In this intervention, a teacher gives a student a number (such as 36) and also a group of base ten blocks that represent that number. Then, she has the student line up the blocks and count how many blocks 36 is from 30 (6) or 40 (4) and decide which one is closer. This intervention can also be used to show that 5 is the cutoff point. In other words, if a student has a number that ends with 35, it is equally close to 30 or 40. However, if the number ends with a number less than 5, it is closer to the lower number (so the student should round down), and if it ends with a number greater than 5, it is closer to the upper number (so he should round up). 

Rounding with Base Ten Blocks in Action Teacher: I'd like you to round 36 to the nearest ten. To do this, line up your base ten blocks, and see if 36 is closer to 30 or 40.  Student (after lining up blocks): Well, I can count the spaces between 36 and 30, and I'd need to take away 6 blocks. But if I count the spaces between 36 and 40, I'd only need to add 4 blocks. So, that must mean that 36 is closer to 40. That means I would round up.

Activity C: Teach and Practice the Rules Once a student has developed a conceptual understanding of what rounding means and is able to round to the nearest 10, you can teach him to round numbers to the nearest 100 or 1000. When she is rounding to the nearest 100, teach the student to look at the tens place to figure out which hundred the number is closer to (for example, in 126, there is a 2 in the tens place, so 126 is closer to 100 than 200). When she is learning how to round to the nearest 1000, teach the student to look at the hundreds place to round up or down (for example, in 1720. there is a 7 in the hundreds place, so 1720 is closer to 2000 than 1000. The student would round up to 2000). As the student builds fluency with this concept, teach her the rules below. 

The rules are as follows:

• If the number you are rounding ends with 5, 6, 7, 8, or 9, round up!
• If the number you are rounding ends with 1, 2, 3, or 4, round down!

Teach and Practice the Rules in Action Teacher: Now that we have learned to round to the nearest 10, we are going to practice rounding to the nearest 100. The rules are the same, but there is one big difference: when we round to the nearest 100, we look at the tens place, not the ones place, to figure out which 100 the number is closest to. What place do we look at?

Student: The tens place. 

Teacher: Great! In the number 126, which is the tens place?

Student: The second number, 2, is in the tens place. 

Teacher: So, should we round 126 to 100 or 200?

Student: 100.

Teacher: Why?

Student: Because 20 is closer to 0 than to the next 100.

Teacher: I wonder if that's a rule — "If there's a two in the place you're rounding, you'll always round down." Let's test that rule! 

Baker, K. (2019, February 16).  How to Teach Rounding So Students Actually Understand . Teaching Made Practical. https://teachingmadepractical.com/teaching-rounding-so-students-understand/

Activity D: Estimating when Performing Operations  Once a student has mastered rounding to the nearest ten, hundred, and thousand, he can estimate numbers to get an approximate answer when performing operations (Petti, 2017). This will help a student get a general sense of the answer before he completes the problem using the exact numbers. In order to estimate when adding, subtracting, multiplying, or dividing, the teacher teaches the student to round all the numbers in the problem and then solve it. The place that the student will round to depends on the number of digits the numbers contain. Here are some guidelines:

• Addition example: 42 + 64 = 40 + 60
• Subtraction example: 58-12 = 60-10
• Multiplication example: 62 x 13 = 60 x 10
• Division example: 24/13 = 20/10
• Addition example: 426 + 643 = 400 + 600
• Subtraction example: 585-122 = 600-100
• Multiplication example: 626 x 132 = 600 x 100
• Division example: 246/134 = 200/100
• Addition example: 4264 + 6433 = 4000 + 6000
• Subtraction example: 5854-1223 = 6000-1000
• Multiplication example: 6264 x 1322 = 6000 x 1000
• Division example: 2465/1341 = 2000/1000

Estimating when Performing Operations in Action Teacher: Now that we have learned to round numbers, we are going to practice this strategy to get an estimate of an answer when solving a problem. Right now, we'll practice rounding with addition problems. If my problem was 42 + 64, I would round to the nearest ten to estimate my answer. By rounding before I solve the problem, I have an idea of what my actual answer will be close to. This will help me check that my answer is correct.

Teacher: So, I'll round 42 to 40 and 64 to 60, which makes the new problem: 40 + 60. Because I've rounded, I can quickly solve this problem in my head: 40 + 60 is 100. This means that my actual answer will be close to 100!

Teacher: Let me check. 42 + 64 = 106. Is that close to 100? Yes!

Teacher: Now, you'll try rounding numbers to solve addition problems.

Activity E: Rounding Decimals Once a student has been introduced to decimals, he can learn similar rules for rounding decimals. In order to carry out this process, he must demonstrate a strong understanding of place value, as well as the ability to round numbers to ten, hundred, and thousand. In this strategy, a student focuses on rounding the numbers after the decimal place. However, instead of rounding to the nearest ten, hundred, or thousand, the student rounds to the nearest ten th , hundred th , or thousand th , which is how place value is described for numbers behind the decimal point. When learning to round to the nearest tenth, the teacher teaches the student to look at the hundredths place to figure out whether to round up or down (for example, in 0.16, there is a 6 in the hundredths place, so the student would round to up to 0.2). When learning how to round to the nearest hundredth, the teacher teaches the student to look at the thousandths place (the number to the right of the hundredths place) to round up or down (for example, in 0.727 there is a 7 in the thousandths place, so the student would round up to 0.73). When rounding decimals, the same rules apply:

Rounding Decimals in Action Teacher: Now that we have learned about decimals, we are going to practice rounding decimals so that we can estimate the solutions to problems that include decimals. The rules are the same, but there is one big difference: when we round numbers located behind the decimal points, we look at the tenths, hundredths, or thousandths place, not the tens, hundreds, or thousands place. What place do we look at?

Student: The tenths, hundredths, or thousandths place. 

Teacher: We know that the tenths place is the first number after the decimal, the hundreds is the second number behind the decimal, and the thousandths number is the third place behind the decimal. If I asked you to round 0.25 to the nearest tenth, you would look at the number in the 100s place and decide whether to round up to the bigger tenth or down to the smaller tenth. What digit is in the hundredth place?

Student: 5. So I should round up to .3.

Teacher: Why? 

Student: Because .25 is exactly between .2 and .3— if it's exactly in the middle, you always round up. 

Think about the following scenario, which takes place after a teacher has explicitly taught a student strategies for rounding numbers.        Teacher: " Can you round 36 to the nearest ten? "        Student: " 36. Let's see. It's closer to 30 because it has a 3 in the front. "

In such a case, what might you do? 

When you are planning your lessons, you should anticipate that your student will make errors throughout. Here are a series of prompts that you can use to respond to errors. Keep in mind that all students are different, and that some students might respond better to some types of feedback than to others.

If your student struggles to meet your objective, there are various techniques that you might try in order to adjust the activity so as best to meet your student's needs. 

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Course: 5th grade   >   Unit 1

• Rounding decimals on the number line
• Round decimals using a number line
• Worked example: Rounding decimals to nearest tenth
• Round decimals
• Understand decimal rounding
• Rounding decimals word problems

Round decimals word problems

• Decimal place value: FAQ

• (Choice A)   111.25 ‍   A 111.25 ‍  
• (Choice B)   124.9 ‍   B 124.9 ‍  
• (Choice C)   115.95 ‍   C 115.95 ‍  

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Reasoned Rounding

• Student Solutions
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Reasoned Rounding printable sheet

This is a rounding game for two players. 

You will need a  recording sheet  shared between the two players. One sheet is enough for three games. The first player rolls a 0-9 dice twice and chooses which two-digit number they would like to make from the numbers rolled. They then round this number to the nearest 10, find the matching circle on the recording sheet and write their two digit number in one of the spaces in that circle. The second player rolls the dice twice to take their turn in a similar way. A circle is complete when it has two numbers in it and this scores a point for the person who wrote the second number in. (Even if the first number was written in by the other player.) The game is over when all the circles are full and then the points are counted up to find the winner.