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Round decimals

Method: Look at the next digit

Find the place you are rounding to. Look only at the digit straight after it. If that digit is 5 or more, round up; if it is less than 5, round down. Don't round in steps from the end, and when a 9 rounds up it becomes 0 and carries 1 to the left, like 3.96 → 4.0.

Explore this idea with maths tools

Equal parts, equal wholes

2/4 = 4/8

Both bars are the same length. Find a division of the second bar that lines up exactly with the coloured edge.

Words to know

round
replace a number with a nearby simpler one
decimal place
a digit's position after the decimal point
deciding digit
the digit straight after the place you round to

Worked examples

Round 4.7 to the nearest whole number.

  1. 1.4.7 is between 4 and 5.
  2. 2.The next digit is 7, which is 5 or more, so round up.

= 5

Round 2.46 to the nearest whole number.

  1. 1.2.46 is between 2 and 3.
  2. 2.The next digit is 4, so round down. Don't round 6 first.

= 2

Round 3.96 to one decimal place.

  1. 1.3.96 is between 3.9 and 4.0.
  2. 2.The next digit is 6, so round up: 9 tenths become 10 tenths, which carries to the ones.

= 4.0

For parents

Method: Look at the next digit

What to say: Which place are you rounding to? What is the very next digit?

Common mistakes:

  • When a 9 rounds up, writes 10 in that place instead of carrying (3.96 → 3.10).
  • Rounds one digit at a time from the right (2.46 → 2.5 → 3) instead of looking only at the next digit.
  • Cuts off the extra digits without rounding up when the next digit is 5 or more.
  • Always rounds up to the next value, even when the next digit is less than 5.
  • Rounds to one more decimal place than asked (or leaves the number unrounded).