Rounding & Estimation Word Problems
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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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Problem solving with estimation and rounding
I can use my knowledge of estimation and rounding to solve problems.
Lesson details
Key learning points.
- It may be helpful to estimate an answer to check the magnitude is correct.
- It can be useful to use rounding to significant figures when dealing with very big or very small numbers in context.
- Estimates can help when making decisions about maximum or minimum possible answers in real life contexts.
- You can use Fermi estimation to find approximate solutions to problems.
Common misconception
Using the wrong limits when dividing or subtracting in order to find the upper limit of a calculation or lower limit of a calculation.
Drawing a number line to show with subtraction will help students see how to achieve an upper or lower limits of an error interval calculation. When using division, reiterating the division of number is the same as multiplying by its reciprocal.
Estimate - A quick estimate for a calculation is obtained from using approximate values, often rounded to 1 significant figure.
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Starter quiz
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Estimation, Approximation and Rounding
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Sometimes, you may find it helpful to know the approximate answer to a calculation.
You may be in a shop and want to know broadly what you’re going to have to pay.
You may need to know roughly how much money you need to meet a couple of bills.
You may also want to know roughly what the right answer to a more complicated calculation is likely to be, to check that your detailed work is correct.
Whatever your precise need, you want to know how to estimate or approximate the right answer.
One very simple form of estimation is rounding. Rounding is often the key skill you need to quickly estimate a number. This is where you make a long number simpler by ‘rounding’, or expressing in terms of the nearest unit, ten, hundred, tenth, or a certain number of decimal places.
For example, 1,654 to the nearest thousand is 2,000. To the nearest 100 it is 1,700. To the nearest ten it is 1,650.
The way it works is straightforward: you look at the number one place to the right of the level that you are rounding to and see whether it is closer to 0 or 10.
In practice, this means that if you’ve been asked to round to the nearest 10, you look at the units. If you are rounding to three decimal places, you look at the fourth decimal place (the fourth number to the right of the decimal point) and so on. If that number is 5 or over, you round up to the next number, and if it is 4 or under, you round down.
Round Up or Round Down?
We round numbers to reduce their number of digits while keeping the result as close to the original number as possible.
Numbers that are less than 5 get rounded down.
Numbers that are 5 or higher get rounded up.
Rounding to one decimal place:
- 1.47 rounds to 1.5
- 1.42 rounds to 1.4
- 1.4535412 rounds to 1.5
Rounding: Worked Examples
Express 156 to the nearest 10
In this example you look at the tens and units. The hundreds will not change. You need to decide whether 56 will be rounded up to 60 or down to 50.
Looking at the units, you know that 6 is more than 5, so you round up.
The answer is 160.
Express 0.4563948 to three decimal places.
As you're working to three decimal places, the answer will start 0.45 and you need to determine the third number after the decimal point
To work out whether the third number is 6 or 7, you need to look at the fourth number, which is 3. As 3 is less than 5, you round down.
The answer therefore is 0.456.
You can use the technique of rounding to start estimating the answer to more complex problems.
Estimating can be considered as ‘slightly better than an educated guess’. If a guess is totally random, an educated guess might be a bit closer.
Estimation, or approximation, should give you an answer which is broadly correct, say to the nearest 10 or 100, if you are working with bigger numbers.
Probably the simplest way to estimate is to round all the numbers that you are working with to the nearest 10 (or 100, if you are working in thousands at the time) and then do the necessary calculation.
For example , if you are estimating how much you will have to pay, first round each amount up or down to the nearest unit of currency, pound, dollar, euro etc. or even to the nearest 10 units (£10, $10, €10), and then add your rounded amounts together.
Many stores like to give prices ending in .09 and especially 0.99. The reason for this is that a shirt that costs 24.99 'sounds' cheaper than one that costs 25.00. When shopping for numerous items it can be useful to keep a running tally, an estimate of the total cost, by rounding items to the nearest currency unit, £, $, € etc.
If you are trying to work out how much carpet you will need, round the length of each wall up to the nearest metre or half-metre if the calculation remains simple, and multiply them together to get the area.
If you are relying on your calculation to make sure that you have enough of something, whether money or carpet, always round up. That way you will always over-estimate. Even engineers take this approach when thinking about the design of a structure before doing a detailed specification. It’s better to have a component that’s a bit stronger than it needs to be than one that is too weak.
You want to buy carpet for two rooms. The first is 3.2m by 2.7m. The second is smaller, 1.16m by 2.5m. How much carpet do you need to buy to be sure of having enough for both rooms?
The first room is approximately 3m by 3m, which is 9m 2 .
The second is just over 1m by 2.5m. Strictly speaking, you would round this to 1m by 2.5m, or 2.5m 2 .
In total, then, that’s 11.5m 2 . It’s hard to buy carpet in anything except whole m 2 , so you’ll need to round up to 12m 2 . In each case, you have rounded up one of the numbers by more than you have rounded the other one down, so you’re probably fine.
A quick check with a calculator will, indeed, confirm that you need exactly 11.54m 2 . 12m 2 will be plenty.
You’ve decided to add another room to the carpet buying. The last room is 3.9m by 2.2m. How much carpet do I need for all three rooms?
3.9m is rounded up to 4m. 2.2m rounds down to 2m.
2 × 4 is 8m 2 , which gives a total, for all three rooms of 20m 2 .
However, in rounding down to 2m, you have taken out 0.2m. In rounding up to 4m, you have only added 0.1m.
You may not order quite enough carpet although you might get away with it because you rounded up to 12m 2 for the first two rooms.
However, to be absolutely sure, you probably want to round 2.2m up, to 2.5m.
Multiply 2.5 by 4 to get 10m 2 . This means you need 22m 2 of carpet for all three rooms.
A quick check with a calculator will confirm that 20m 2 is not quite enough: You need 20.9m 2 exactly.
Need a refresher on how to calculate area? See our page Calculating Area for help.
Estimated Time of Arrival (ETA)
Estimated time of arrival is used frequently used when travelling. Trains, buses, planes, ships and in-car satellite navigation (sat-nav) all use ETA.
The ETA is based on distance and speed of travel, it is ‘estimated’ because it cannot take into account changes to speed during the journey. Your flight may arrive early because of favourable tail winds. Your road trip may take longer than expected because of traffic.
The ETA is usually calculated by a computer and can change during your trip. As you near your destination, more data becomes available so the estimated time that you will arrive becomes more accurate.
A Special Case: Estimating for Work
You will almost certainly come across ‘estimates’ for work to be done, whether from a builder, plumber, mechanic or other tradesperson.
In this case, the tradesperson concerned has probably estimated how much time they are likely to take to do the work, multiplied it by their hourly or daily rate, and perhaps added additional charges for materials or a call-out.
They may also have added a ‘ contingency ’ for extra work needed, which is likely to be 10 or 20%, and will mean that you are not unpleasantly surprised by the bill if they find something unexpected that needs fixing.
An ‘estimate’ is not legally binding. It is just what it says: an estimate.
However, a ‘quote’ or ‘quotation’ for work done is legally binding on cost, provided that the work done is what was quoted for. However, if you have asked for extra work: ‘just add that bit’ or ‘do that while you’re here’, don’t be surprised if the bill is larger than you were expecting.
A Useful Skill
You may be wondering why you’d ever use estimation when you have a calculator on your phone.
The ability to estimate will mean that you will know if the answer you get from the calculator is not right, and do it again.
Continue to: Mental Arithmetic – Basic Mental Maths Hacks Real World Maths
Also see: Probability an Introduction Special Numbers and Concepts Averages (Mean, Median and Mode)
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Estimating & rounding word problems
Fast, approximate answers.
Students use rounding and estimating to arrive at or select approximate answers to questions. The underlying operations are addition, subtraction, multiplication and division.
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Explain rounding and estimating.
Explain Rounding and Estimating Whole Number Rounding is a way of simplifying numbers to make them easier to understand or work with. Rounding can be used when an exact number isn't needed, and an approximate answer will do. For example, at the minute this is being written, exactly 299,588,632 people live in the United States (See the U.S. Census Bureau Population Clock .), but that number changes every day. And it's not likely you'll need to know exactly how many people live in the United States at any given moment. Instead, you could simplify that number by "rounding" it to 300 million. How does that work? Follow the steps below to learn how to round a whole number.
- Find the "round off" digit. The round off digit is the place value of the number you're rounding to . For example, if you want to round a number to the nearest ten, the round off digit is the number in the tens' place. If you want to round a number to the nearest hundred, the round off digit is the number in the hundreds' place.
- Look at the number to the right of the round off digit. If that number is less than 5, don't change the round off digit. If that number is 5 or more, add one to the round off digit.
Change all the digits to the right of the round off digit to zeros.
Estimating is another way of making numbers easier to work with when we don't need to know exactly how many; we just need to know about how many. An estimate is really an "educated guess," in other words, a guess that's based on some prior knowledge or facts. Rounding and Estimating Worksheets Rounding and Estimating Interactive Activities
EW Lesson Plans EW Professional DevelopmentEw worksheets. 
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Problem Solving: Rounding and Estimating Front End Estimation The name comes from the way that you round. Instead of rounding each number to a given place value, we round whatever number is in the front. With front end estimation, we only round and calculate with numbers in the leftmost place or the very last number on the left. This means that all
Sample Problem 3: Estimate the answer using rounding method. Front End Estimation The name comes from the way that you round. Instead of rounding each number to a given place value, we round whatever number is in the front. With front end estimation, we only round and calculate with numbers in the leftmost place or the very last number on the left.
We could make a less accurate estimation by observing that 5,203 is near 5,000. The number 5,000 has only one nonzero digit rather than two (as does 5,200). This fact makes the estimation quicker (but a little less accurate). We then estimate the difference by \(5,000 - 3,000 =2,000\). and conclude that \(5,203 - 3,015\) is about 2,000.
Name the number to the left of the decimal point. Write "and" for the decimal point. Name the "number" part to the right of the decimal point as if it were a whole number. Name the decimal place of the last digit. Example 1. Name the decimal \ (4.3\). Solution. Try It Now 1. Name the decimal \ (6.7\).
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.
Q1. A degree of accuracy shows how precise a or measurement is. For example, to the nearest cm, nearest 10, 1 s.f. and so on. Q2. Alex buys paper £4.95, USB £ , stamps £5.20, crisps £0.95, staples £1.10 and plug £1.99. He pays with a £20 note and receives about £2 back in change. Estimate the cost of the USB.
Problem Solving: Rounding and Estimating . Volume. Speed. Enter Full Screen. Video Duration Elapsed Time: 00:00 / Total Time: 00:00. Timeline Progress. Playback 0% complete. Problem Solving: Rounding and Estimating . Section Lecture Video: Problem Solving: Rounding and Estimating ...
Rounding is often the key skill you need to quickly estimate a number. This is where you make a long number simpler by 'rounding', or expressing in terms of the nearest unit, ten, hundred, tenth, or a certain number of decimal places. For example, 1,654 to the nearest thousand is 2,000. To the nearest 100 it is 1,700.
Sample Problem 3: Estimate the answer using rounding method. Front End Estimation The name comes from the way that you round. Instead of rounding each number to a given place value, we round whatever number is in the front. With front end estimation, we only round and calculate with numbers in the leftmost place or the very last number on the left.
These grade 4 word problem worksheets involve the use of rounding to estimate answers. Students are given a word problem and are asked to estimate the answer, by rounding numbers appropriately and choosing the correct arithmetic operation. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.
1-8 Bell Work - Problem Solving Rounding and Estimating. 1-8 Exit Quiz - Problem Solving Rounding and Estimating. 1-8 Guided Notes SE - Problem Solving Rounding and Estimating. 1-8 Guided Notes TE - Problem Solving Rounding and Estimating. 1-8 Lesson Plan - Problem Solving Rounding and Estimating.
The Corbettmaths Practice Questions on Rounding. Previous: Similar Shapes Area/Volume Practice Questions
Fast, approximate answers. Students use rounding and estimating to arrive at or select approximate answers to questions. The underlying operations are addition, subtraction, multiplication and division. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.
Explain Rounding and Estimating Explain Rounding and Estimating Whole Number Rounding is a way of simplifying numbers to make them easier to understand or work with. Rounding can be used when an exact number isn't needed, and an approximate answer will do. For example, at the minute this is being written, exactly 299,588,632 people live in the United States (See the U.S. Census Bureau ...
Solution. There are two approaches we could take to this problem: 1) estimate the number of boards we will need and find the cost per board, or 2) estimate the area of the deck and find the approximate cost per square foot for deck boards. We will take the latter approach.
Reasoning and Problem Solving Estimate and Approximate Reasoning and Problem Solving Estimate and Approximate Developing 1a. Various answers (depending on what the children choose to round to), for example: Taron's answer is likely to be incorrect because (when rounding to the nearest 100) an approximate answer to
Then we'll try to estimate the answer by using the rounded numbers: 20,000 + 100 = 20,100. So by using front-end estimation, we managed to estimate that the answer to 15,345 + 122 is around 20,100. You can also use a calculator to find the exact answer and compare the estimation with the exact answer.
Identify the two options that the number could round to. e.g. the two nearest 100's to 1294 are 1200 and 1300. Be careful if your digit is a 9 and the next number up will affect the higher place values. e.g. the nearest 2 decimal places to 3.4 9 7 are 3.49 and 3.50. If the circled number is 5 or more then you round to the bigger number.
Next: Triangular Numbers Practice Questions GCSE Revision Cards. 5-a-day Workbooks
Rounding reasoning & problem solving. Just a simple worksheet I created to extend all pupils into reasoning when rounding numbers to the nearest 10,100 & 1000. I have taken ideas from WhiteRose resources and laid them out into F (Fluency), R (Reasoning) and PS (Problem solving). Could be used as a teaching resource or assessment on the objective.
Lesson about problem solving: rounding and estimating. PreAlgebraCoach.com . Author: Rafae Created Date: 5/25/2017 7:40:32 PM ...
As our data size grows, these estimate variances start to become problematic. Now granted, this succeeds in the same way the 2010 query succeeds: we get an index seek, it's still less logical reads than a key lookup plan would be, the single-threaded thing isn't a problem for a 27 millisecond query, and we don't spill to disk.
Estimate the speed of the plane after it has slowed down by rounding each number to the nearest ten. kilometers per hour→ kilometers per hour