← Map

Estimate sums and differences

Method: Round, then calculate

An estimate is a quick, close answer. Round each number to the place the question asks, then add or subtract the rounded numbers in your head. To round, look at the digit just after that place: 5 or more rounds up, 4 or less rounds down. For the leading place, round each number to the place of its first digit.

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

estimate
a close answer found with friendly numbers
leading place
the place value of a number's first digit

Worked examples

Estimate 47 + 38 by rounding each number to the nearest ten.

  1. 1.47 rounds to 50 and 38 rounds to 40.
  2. 2.50 + 40 = 90.

= 90

Estimate 487 + 312 by rounding each number to the nearest hundred.

  1. 1.487 rounds to 500 and 312 rounds to 300.
  2. 2.500 + 300 = 800.

= 800

Estimate 4327 − 689 by rounding each number to its leading place.

  1. 1.4327 rounds to 4000 and 689 rounds to 700.
  2. 2.4000 − 700 = 3300.

= 3300

For parents

Method: Round, then calculate

What to say: What does each number round to? Is your estimate close to what you expect?

Common mistakes:

  • Rounds by chopping off the last digits (always down).
  • Works out the exact answer instead of estimating.
  • Rounds only the first number and uses the second exactly.
  • Rounds to a different place from the one asked (tens instead of hundreds, or both numbers to the larger number's leading place).