Rounding Numbers

Rounding Numbers

Rounding numbers is a way of simplifying a number by adjusting it to a more convenient or less precise value, while keeping it as close as possible to its original value. It’s used when exact precision isn’t necessary or when you want to make numbers easier to work with or understand.

The following diagram shows how to round numbers using the rounding poem. Scroll down the page for more examples and solutions.

 

• Rounding Numbers Worksheets

  Printable & Online
  Round Numbers using the Number Line
  Round to nearest 10 (2 to 4 digits)
  Round to nearest 100 (3 to 4 digits)
  Round to nearest 1000, 10000, 100000

  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 Multi-digit Numbers
  Rounding Word Problems
  

  Interactive
  Round to the nearest 10
  Round to the nearest 10
  Round to the nearest 100
  Round to the nearest 100
  Round to the nearest 1000
  Rounding Numbers (mixed)
  
  Finding Halfway (Sprint A)
  Finding Halfway (Sprint B)
  Round to tens (Sprint A)
  Round to tens (Sprint B)
  Round to hundreds (Sprint A)
  Round to hundreds (Sprint B)

Rounding using poem and examples

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The Basic Rule of Rounding

The core rule for rounding depends on the digit immediately to the right of the place you are rounding to:

1. Look at the “rounding digit”: This is the digit in the place value you want to round to.
   
2. Look at the “decision digit”: This is the digit immediately to the right of your rounding digit.
   
3. If the decision digit is 5 or greater (5, 6, 7, 8, 9):
   Round up: Increase the rounding digit by one.
   Change all digits to the right of the rounding digit to zero.
   
4. If the decision digit is less than 5 (0, 1, 2, 3, 4):
   Round down: Keep the rounding digit the same.
   Change all digits to the right of the rounding digit to zero.
   

Examples of Rounding

1. Round 73 to the nearest ten:
   The rounding digit is 7 (in the tens place).
   The decision digit is 3 (in the ones place).
   Since 3 is less than 5, you round down.
   Result: 70
   

2. Round 187 to the nearest ten:
   The rounding digit is 8 (in the tens place).
   The decision digit is 7 (in the ones place).
   Since 7 is 5 or greater, you round up. The 8 becomes a 9.
   Result: 190
   

3. Round 24,561 to the nearest hundred:
   The rounding digit is 5 (in the hundreds place).
   The decision digit is 6 (in the tens place).
   Since 6 is 5 or greater, you round up. The 5 becomes a 6.
   Result: 24,600

Rounding to the Nearest 10
This handy tutorial will show you how to Round to the nearest 10.

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Rounding to the Nearest 10 with 3 Digit Numbers
This handy lesson will show you how to round to the nearest 10 with 3 digit numbers.

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Round to nearest 10

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Round to nearest 10

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