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Rounding to the nearest 10 or 100

Method: Look at the deciding digit

Rounding replaces a number with the nearest ten or hundred. Find the deciding digit — the ones digit when rounding to 10, the tens digit when rounding to 100. If it is 5 or more, round up; if it is less than 5, round down. 45 rounds up to 50 because the 5 rounds up, and 43 rounds down to 40 because 3 is under 5. Decide in one step: do not round to 10 first and then to 100.

Explore this idea with maths tools

Maths you can move

Build 8 + 5

Tap two gold counters to fill the ten-frame.

8 in the frame + 5 waiting. The total stays the same.

Words to know

round
replace a number with a nearby simpler one
deciding digit
the digit that tells you up or down

Worked examples

Round 45 to the nearest 10

  1. 1.Deciding digit is 5.
  2. 2.5 or more rounds up.

= 50

Round 43 to the nearest 10

  1. 1.Deciding digit is 3.
  2. 2.Less than 5 rounds down.

= 40

Round 448 to the nearest 100

  1. 1.Deciding digit (tens) is 4.
  2. 2.Less than 5 rounds down.

= 400

For parents

Method: Mark the halfway point on a number line and see which side the number falls.

What to say: Ask 'which ten (or hundred) is it nearer to?' and point to the deciding digit.

Common mistakes:

  • Rounding a 5 down instead of up (45 to 40).
  • Always rounding up (43 to 50).
  • Double rounding (448 to 450 to 500).