Rounding whole numbers worksheet: Grade 4 Place Value & Rounding Worksheets – free & printable

Опубликовано: December 4, 2022 в 8:04 am

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Rounding Numbers

This page contains links to free math worksheets for Rounding Numbers problems. Click one of the buttons below to see all of the worksheets in each set. You can also use the ‘Worksheets’ menu on the side of this page to find worksheets on other math topics.

Basic Rounding Worksheets


12 Rounding Numbers Worksheets

Rounding worksheets where whole numbers must be rounded to the same place value as the most significant digit. This is a great starting place for building rounding concepts.

Basic Rounding Worksheets

Rounding Whole Numbers Worksheets


12 Rounding Numbers Worksheets

Rounding whole numbers worksheets where there may be significant digits to the left of the rounding place value.

Rounding Whole Numbers Worksheets

Rounding Worksheets with Carrying


12 Rounding Numbers Worksheets

When the place value digit in a rounding numbers problem is a nine and you round up, it requires carrying. These rounding worksheets help practice this sometimes confusing extra step.

Rounding Worksheets with Carrying

Rounding Decimals Worksheets


16 Rounding Numbers Worksheets

Rounding decimals worksheets with numbers that may include decimals to the same place value as the least significant digit. This is the easiest set of worksheets dealing with rounding decimal numbers.

Rounding Decimals Worksheets

Advanced Rounding Worksheets


16 Rounding Numbers Worksheets

Rounding decimal worksheets with decimal numbers where there may be significant digits to the left of the rounding place value.

Advanced Rounding Worksheets

Why Do We Round Numbers

Many times we focus on finding values to a very exact degree of precision, but there are other times where we only need the rough estimate of a value. The process of rounding numbers is where a value is raised or lowered to a less precise number. We might round numbers where we know the precision is higher than we are confident in.

Another common situation is where we want to use a value in a computation and rounding the number to a nearby value makes working with the value much easier. Often rounding numbers makes it easier to perform mental math, especially when working with a longer sequence of numbers.

The rounding worksheets on this page provide plenty of practicing rounding whole numbers and rounding decimal numbers. Each set of rounding worksheets focuses on a different type of rounding, including starting with rounding decimals to only a single digit of precision, progressing through rounding to the tens, hundreds or thousands place. Additional sets of rounding worksheets deal with rounding to the right of the decimal place, rounding decimals to the tenths, hundredths or thousands place.

A common place where 3rd and 4th grade students can get tripped up rounding numbers is when the target place value digit has a nine in it and rounding up requires carrying over into the next place value. There are a special set of rounding worksheets specifically to practice this sometimes confusing extra step.

Rounding Numbers and Common Core

When working within the Common Core standard, rounding numbers is incorporated as part of the Number and Operations in Base 10 domain and is typically introduced in the third grade as part of CCSS.MATH.CONTENT.3.NBT.A.1. The rounding worksheets in this section are appropriate exercises for that domain, and the later worksheets dealing with rounding decimals exceed that area of the standard.

Rounding Numbers in Three Easy Steps

The steps to round numbers are fairly straight forward:

  1. Identify the place value to which you are rounding. The problem you are given on one of the rounding worksheets here will specify the precision, for example, ‘Round to the nearest ten.’ For a number like 127, the number in the tens digit is ‘2’ and that’s the digit that we will potentially change by rounding. We’ll call that ‘the digit to be rounded’ to make it easy to remember.
  2. Look at the digit to the right of the digit to be rounded (the one we found in the first step.) If this digit is five or greater, then we round up by incrementing the digit to be rounded, otherwise we round down by leaving the digit to be rounded alone. In the example of 127, the digit to the right of the digit to be rounded is the 7 in the ones place. That value is five or greater, so we will round up and the digit to be rounded changes from 2 to 3.
  3. Set all of the digits to right of the digit to be rounded equal to zero. In our example, the only digit to the right is the ones digit.

To recap, 127 rounded to the nearest ten is 130. Here are a few more rounding examples…

  • 346.15 rounded to the nearest tenths is 345.2 (The value in the hundredths place is five or greater, so we round up the tenths.)
  • 346.15 rounded to the nearest whole is 345 (The value in the hundredths place less than five, so we round down the ones.)
  • 346. 15 rounded to the nearest tens is 350 (The value in the ones place is five or greater, so we round up the tens.)
  • 346.15 rounded to the nearest hundreds is 300 (The value in the tens place less than five, so we round down the hundreds.)

Rounding Worksheets for Whole Numbers

The first set of rounding worksheets deals with rounding whole numbers to the most significant digit. This makes selecting the digit to be rounded very obvious (it’s always the left-most digit in the value). In the first set of rounding worksheets, the values are always two digit numbers rounded to the nearest ten, which is a super easy introduction to the part of the process where a student mush consider the value of the less significant digit (five or greater, or less than five). Additional rounding worksheets in these sets introduce rounding to the nearest hundred and rounding to the nearest thousand, which gradually introduces the need to identify the correct digit to look at and what to do with the remaining digits in the value.

Once these concepts are down, the other integer rounding worksheets deal with rounding to precisions where they may be digits to the right of the significant digit (so four example rounding a four digit number to the nearest ten). These worksheets will require students to correctly determine the place value for the digit to be rounded and know to leave alone the digits with greater place value to the left of that digit. Some of problems on these rounding worksheets involve longer digit numbers (up to six digits) and are great practice for whole number rounding once all the basics are down.

Rounding Worksheets for Decimals

Once students have mastered rounding whole numbers, moving on to rounding decimals is the next step. Rounding decimal numbers typically involves looking at the fractional place values (tenths, hundredths, thousandths and so on) and then rounding the appropriate place value digit to the left. The process is in many ways similar to rounding whole numbers, and the primary challenge to students is identifying by name the correct place value digit.

Just like the rounding worksheets in the previous section, these start out with less complex decimal rounding problems (problems where the digit to round and the digit to examine are unavoidably obvious) and then gradually work up to problems where students must identify the correct digit.

Rounding Negative Numbers

There’s some discussion about the best way to round negative values, and it would seem the exact process depends somewhat on the problem domain. There’s an interesting discussion including links to some of the different strategies for dealing with negatives at this link. In part because of the ambiguity, you won’t find rounding worksheets for negative numbers here.

rounding numbers worksheets and online exercises
























































































































Rounding and Comparing whole numbers

Grade/level: Grade 3

by Sir_DEN







Round off 1000

Grade/level: 3

by KhyatiThukral







Round off numbers to the nearest tens

Grade/level: 1,2

by NNTM14021997









Round off 100

Grade/level: 3

by KhyatiThukral







Rounding Whole Numbers

Grade/level: 5

by SamanthaCoops







Round off hundreds

Grade/level: 3

by KhyatiThukral







Rounding to the nearest 1000

Grade/level: elementary

by cynthiasmith







Y2 – Round off to the nearest hundred

Grade/level: 2

by mirabasri6677







Rounding off to nearest 10, 100, 1000

Grade/level: Grade 5

by MsZahra







Round off 100

Grade/level: 3

by KhyatiThukral







Rounding to the nearest 10

Grade/level: 2ND

by Mayerlis16







Rounding off numbers

Grade/level: Grage 3

by sudishna_ganesh







Rounding Whole Numbers

Grade/level: 4-6

by MsJ242







Rounding whole numbers Grade 5

Grade/level: elementary

by cynthiasmith







Round Numbers 0-1,000 to the Nearest 10

Grade/level: Grade 4

by flavia_anderson5







Rounding Practise

Grade/level: 7

by hhay







Grade 4 Rounding week 3

Grade/level: 4

by jem45







Rounding and estimation

Grade/level: 3

by ThirdGradeTeacher







Rounding number upto 100

Grade/level: Grade 4-5

by Arshiyamaryam







Round off 1000

Grade/level: 3

by KhyatiThukral







Round off 1000

Grade/level: 3

by KhyatiThukral







Rounding to Nearest ten and Hundred

Grade/level: Grade 4

by Raccoons







Rounding to the nearest hundred

Grade/level: Second Grade

by halvarado







Rounding

Grade/level: 5-6

by Diane_Telle







Number lines for rounding 2 digit numbers to nearest 10

Grade/level: 3

by ZainabSattar







Rounding whole numbers Grade 6

Grade/level: elementary

by cynthiasmith







Numbers to 100 000

Grade/level: Grade 4

by jhoyce04







Round off

Grade/level: 4

by Ekaosaria







Estimating and Rounding Word Problem

Grade/level: Grade 4

by flavia_anderson5







Next Dollar Up

Grade/level: Life skills

by mfoley4







Rounding

Grade/level: grade 4

by malletsr







Rounding Tens

Grade/level: Grade 4

by mikepparker621







G4 – Round Whole Numbers

Grade/level: 4

by Galaxy191197







Significant Figures

Grade/level: 9- 10

by Mrs_Godet







Rounding to the nearest ten

Grade/level: Grade 2

by halvarado







Round to the nearest 10 and 100 -1

Grade/level: elementary

by cynthiasmith







Rounding to the nearest 10

Grade/level: 3

by Gierszewski







Rounding

Grade/level: 4

by Kneee







Rounding whole numbers

Grade/level: elementary

by cynthiasmith







Rounding up to whole numbers, 1 decimal place, 2 decimal places

Grade/level: 4, 5, 6

by Icilyn







Grade 4 Workbook 1-4

Grade/level: 4

by ewisk







Rounding and significant figures

Grade/level: 8

by sisG8and7







Rounding to the Nearest 10

Grade/level: Grade 1

by Monique_20







Rounding

Grade/level: 4

by sisG8and7







Round Up or Round Down

Grade/level: 4

by NessaC







Rounding numbers

Grade/level: 4

by lorigrebner







Rounding Off Whole Numbers

Grade/level: Grade 4

by remongonzales







Lesson 1. 2 Grade 3

Grade/level: 3

by marissaencinas

Free Printable Rounding Numbers Worksheets [PDFs] Brighterly.com

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Many children feel that math gets more overwhelming once teachers introduce them to a new topic, like rounding. There are many rounding strategies, and memorizing them all seems complicated to young minds. As a parent, you can help your children with fun and simple learning resources, like worksheets. At Brighterly, you can download colorful rounding numbers worksheets to help your child with this topic.

These learning materials offer creative math drills accompanied by illustrative visuals to complement various learning styles and boost math skills.

Rounding Whole Numbers Worksheet

Rounding On A Number Line Worksheet

Rounding To The Nearest Whole Number Worksheet

Rounding Numbers To The Nearest Tenth Worksheets

Rounding Numbers To The Nearest Ten Worksheet

Rounding To The Nearest Whole Number Worksheets

Benefits of Rounding Numbers Worksheets for Children and Parents

Rounding numbers worksheets offer several advantages to students and their parents:

Rounding Numbers Worksheets Offer Enough Practice Hours

Teachers and parents often speculate whether children get enough math hours in elementary school. While students have to follow particular standards, everyone learns at their own pace.

Extra learning materials will offer you more freedom regarding math hours for your kid as you can easily add more drills to your child’s curriculum. Children solidify studied topics and perform better at school by completing extra math assignments.

1:1 Math Lessons

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Start learning Math with Brighterly
Let’s start learning Math!

A Rounding Numbers Worksheet Deepens Math Knowledge

Rounding down or up isn’t that easy for youngsters. But with enough practice, they become fluent in this operation.

With visuals, hands-on examples, puzzles, and games, round-whole-numbers worksheets help kids understand the reasons behind studied math skills.

Rounding Numbers Worksheets With Answers

Round Whole Numbers Worksheets

Rounding Whole Number Worksheet

Rounding Numbers Worksheet

A Rounding Whole Number Worksheet Allows You to Track Your Kid’s Performance

Whether your child gets homework or not, you can always track their performance using custom teaching resources. After all, you choose how to check your child and what to expect from the drills you give them.

By using rounding numbers worksheets with answers, you can instantly determine your child’s knowledge gaps.

Download a Rounding Whole Numbers Worksheet in PDF

If you think your child needs extra math practice, or you want to reinforce their math skills just in case, you can download free printable rounding numbers worksheets at Brighterly. Pick and download PDF learning materials you need in a few clicks without signing up or subscribing to any services.

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Rounding a number in Excel

excel

Formulas and Functions

Other features

Other features

Rounding a number in Excel

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Let’s say you want to round a number to the nearest whole number because the decimal part doesn’t matter to you. Or you want to round the number to a multiple of 10 to make it easier to approximate sums. There are several ways to round a number.

Changing the number of decimal places without changing the value

On sheet

    org/ItemList”>

  1. Select the cells whose format you want to change.

  2. To display more or less characters after the decimal point, on the tab Main in the group Number click the button Increase bit depth or Decrease bit length .

Built-in number format

  1. On the Home tab , in the Number group, click the arrow next to the list of number formats and select Other number formats.

  2. org/ListItem”>

    In the list Category , select the value Monetary , Financial , Interest or Exponential depending on the data type.

  3. In field Number of decimal places , enter the desired number of decimal places.

Round number up

Use the ROUNDUP function. In some cases, you may want to use the EVEN and ODD functions to round up to the nearest even or odd number.

Round number down

Use the ROUNDDOWN function.

Round number to nearest value

Use the ROUND function.

Round number to nearest fractional value

Use the ROUND function.

Round a number to the specified number of significant digits

Significant digits are digits that affect the precision of a number.

The examples in this section use the functions ROUND , ROUND UP and ROUND DOWN . They show ways to round positive, negative, integer, and fractional numbers, but the examples given cover only a small part of the possible situations.

The following list contains general rules to consider when rounding numbers to the specified number of significant digits. You can experiment with the rounding functions and substitute your own numbers and parameters to get a number with the number of significant digits you want.

  • Rounded negative numbers are first converted to absolute values ​​(values ​​without a minus sign). After rounding, the minus sign is reapplied. Although it may seem counterintuitive, this is how rounding works. For example, when using function ROUNDDOWN To round -889 to two significant digits, the result is -880. First, -889 is converted to an absolute value (889). This value is then rounded to two significant digits (880). The minus sign is then reapplied, resulting in -880.

  • When the function ROUNDDOWN is applied to a positive number it is always rounded down, and when the function 9 is applied0027 ROUNDUP – up.

  • Function ROUND rounds fractional numbers as follows: if the fractional part is greater than or equal to 0.5, the number is rounded up. If the fractional part is less than 0.5, the number is rounded down.

  • org/ListItem”>

    Function ROUND rounds integers up or down in the same way, using 5 instead of divisor 0.5.

  • In general, when rounding a number without a fractional part (an integer), you must subtract the length of the number from the required number of significant digits. For example, to round 2345678 down to 3 significant digits, use the function ROUNDDOWN with parameter -4: = ROUNDDOWN(2345678,-4) . This rounds the number up to 2340000, where the “234” portion is significant digits.

Rounding a number to a given multiple

Sometimes you may want to round a value to a multiple of a given number. For example, let’s say a company ships goods in boxes of 18 units. Using the ROUND function, you can determine how many boxes will be required to deliver 204 items. In this case, the answer is 12 because 204 when divided by 18 is 11.333, which needs to be rounded up. There will be only 6 items in the 12th box.

You may also want to round a negative value to a multiple of a negative value, or a fractional value to a multiple of a fractional value. You can also use function ROUND for this.

ROUND function

excel

Formulas and Functions

Other features

Other features

ROUND function

Excel for Microsoft 365 Excel for Microsoft 365 for Mac Excel for the web Excel 2021 Excel 2021 for Mac Excel 2019 Excel 2019 for Mac Excel 2016 Excel 2016 for Mac Excel 2013 Excel 2010 Excel 2007 Excel for Mac 2011 Excel Starter 2010 More…Less

Description

Function ROUND rounds a number to the specified number of decimal places. For example, if cell A1 contains the number 23. 7825 and you want to round it to two decimal places, you can use the following formula:

=ROUND(A1;2)

The result is 23.78.

Syntax

ROUND(number, number_digits)

The ROUND function arguments are described below.

  • Number Required argument. The numeric value to round.

  • Number_of_digits Required argument. The number of decimal places to round the number to.

Notes

  • If number_of_digits is greater than 0, then the number is rounded to the specified number of decimal places.

  • If number_digits is 0, then the number is rounded to the nearest integer.

  • If number_digits is less than 0, then the number is rounded to the left of the decimal point.

  • To always round up, use the function ROUNDUP .

  • To always round up to the next lower modulo, use the function ROUNDDOWN .

  • To round a number to the desired multiplicity (for example, to the nearest multiple of 0. 5), use the function ROUND .

Example

Copy the sample data from the following table and paste it into cell A1 of a new Excel sheet. To display formula results, select them and press F2 followed by ENTER. Change the width of the columns, if necessary, to see all the data.

Formula

Description

Result

=ROUND(2.15, 1)

Rounds 2.15 to one decimal place

2. 2

=ROUND(2,149, 1)

Rounds the number 2.149 to one decimal place

2.1

=ROUND(-1.475, 2)

Rounds -1.475 to two decimal places

-1.48

=ROUND(21.5, -1)

Rounds the number 21.5 to one decimal place to the left of the decimal point

20

=ROUND(626. 3,-3)

Rounds 626.3 to the nearest multiple of 1000

1000

=ROUND(1.98;-1)

Rounds 1.98 to the nearest multiple of 10

0

=ROUND(-50.55,-2)

Rounds -50.55 to the nearest multiple of 100

-100

How to round numbers correctly?

Approximate values ​​

In everyday life, we often come across two types of numbers: exact and approximate. And if the exact ones were still clear, then you will have to get acquainted with the approximate ones in the 5th grade.

A square has four sides – the number 4 cannot be disputed, it is exact. Each window has its own width, and its parameters are uniquely accurate. But a watermelon weighs about 5 kg, and no scales will show an absolutely accurate weight. And the thermometer shows the temperature with a small error. Therefore, instead of the exact values ​​of the quantities, it is sometimes possible to use approximate values.

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Examples

  1. The scale shows that the watermelon weighs 5.160 kg. We can say that a watermelon weighs about 5 kg. This is an approximate value with a disadvantage.

  2. The clock shows the time: two in the afternoon and fifty-five minutes. In a conversation about time, you can say: “almost three” or “time about three. ” This is the value of time in excess.

  3. If the length of the dress is 1 m 30 cm, then 1 m is the approximate value of the length with a deficiency, and 1.5 m is the approximate value of the length with an excess.

The approximate value of is the number that turned out after rounding.

To record the result of rounding, use the sign “approximately equal” – ≈.

Any number can be rounded – the same rules work for all numbers.

To round the number means to reduce its value to the desired digit, for example, to hundredths, tens or thousandths, the rest of the values ​​are discarded. This is necessary in cases where full accuracy is not needed or impossible.

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Rounding natural numbers

Natural numbers are numbers that we use to calculate something concrete, tangible. Here they are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and so on.

Features of natural numbers:

  • The smallest natural number: one (1).
  • There is no largest natural number. The natural series is infinite.
  • In the natural series, each next number is greater than the previous one by one: 1, 2, 3, 4, 5, 6, 7.

The rounding of a natural number is its replacement by such a number closest in value, in which one or several last digits in its record are replaced by zeros.

In order to round the natural number , you need to select the digit in the number entry to which rounding is performed.

Rules for rounding numbers:

  1. Underline the digit of the digit to which the number is to be rounded.
  2. Separate all digits to the right of this digit with a vertical bar.
  3. If to the right of the underlined digit is 0. 1, 2, 3 or 4, all the digits that are separated to the right are replaced by zeros. The digit of the category to which rounding is left unchanged.
  4. If 5, 6, 7, 8 or 9 is to the right of the underlined number- all numbers that are separated on the right are replaced by zeros. To the digit of the category to which they rounded, add 1.

Let’s look at how to round the number 57,861 to the nearest thousand. Let’s follow the first two points from the rounding rules.

After the underlined digit is 8, then add 1 to the thousands digit (in this case, 7). In place of the digits separated by a vertical bar, put zeros.

Now round 756 485 to the hundreds:

Round the number 123 to the tens: 123 ≈ 120.

Round the number 3581 to hundreds: 3581 ≈ 3580

Examples:

  • how to round the number 697 to tens – 697 ≈ 700;
  • how to round the number 980 to hundreds – 980 ≈ 1000.

Sometimes it is appropriate to record the rounded result with the abbreviations “thousands” (thousand), “million” (million) and “billion. ” (billion). Like this:

  • 7,882,000 = 7,882 thousand
  • 1,000,000 = 1 million

Rounding decimals

The fraction is one of the forms of writing the private numbers a and b represented as a/b. There are two recording formats:

  • ordinary view – 1/2 or a / b,
  • decimal – 0.5.

In decimal, the denominator is always 10, 100, 1000, 10,000, etc. It turns out that decimal is is what you get when you divide the numerator by the denominator. Such a fraction is written in a line separated by commas to separate the integer part from the fractional part. Like this:

  • 0.7
  • 6.35
  • 9.891

When rounding decimals, be especially careful because a decimal consists of a whole number and a fractional part. And each of these parts has its own digits:

digits of the integer part:

  • units digit;
  • tens digit;
  • hundreds place;
  • thousands place.

Fractional digits:

  • tenths digit;
  • hundredth place;
  • thousandth place.

The digit is the position, the location of the digit in the notation of a natural number. Each category has its own name. The most significant digits are always on the left, and the least significant digits are always on the right.

Consider decimal 7396.1248. Here the integer part is 7396, and the fractional part is 1248. Moreover, each of them has its own digits, which are important not to be confused:

The number to which the fraction is closer is called rounded value of the number .

The digit that is written in this digit:

  • does not change if the digit following it on the right is 0.1, 2, 3 or 4;
  • increments by one if it is followed by a digit on the right – 5, 6, 7, 8, or 9.

How to round to tenths. Leave one digit after the decimal point, discard the rest. According to the rule above, if the first digit to be discarded is 0, 1, 2, 3, or 4, then the decimal digit remains the same. If we discard the number 5, 6, 7, 8 or 9, the number after the decimal point is increased by one.

How to round to hundredths. Leave two digits after the decimal point, discard the rest. And again, do not forget about the rule: if the next digit is 0, 1, 2, 4, the number in the hundredth place remains unchanged. If it’s 5, 6, 7, 8 or 9, then the digit in the hundredths place will increase by 1.

How to round up to integers. Replace a decimal with its closest integer. The nearest will be the smallest distance. In this case, if the distance to the approximate value of the number with a disadvantage and the distance to the approximate value of the number with an excess are equal, then they are rounded up.

All digits to the right of this bit are replaced by zeros. If these zeros are in the fractional part of the number, then they can be omitted.