Estimating sums and products worksheets

Rounding is a skill; estimating is what rounding is for. These free printable sheets round each number first and then work with the rounded pair — 83 × 32 becomes 80 × 30, which is 2,400 and takes a moment.

Estimating sums and products
Estimating sums and products worksheet — 3-digit sums, 2-digit products, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Round first, then compute — and the instruction says so, because the other order gives different answers. 44 + 44 is 40 + 40 = 80 rounding first, and 88 → 90 computing first, and both are defensible English. A printed sheet cannot hold two right answers, so it names the one it wants. It is also the one the standard means: an estimate is what you work out INSTEAD of the calculation, not a tidying-up afterwards.

Why this sheet works

The numbers are big enough that estimating is worth doing, which sounds obvious and is the part these sheets are usually wrong about. 8 + 7 rounds to 10 + 10 = 20, and a child who can add 8 and 7 in their head has no reason to estimate anything — the technique gets taught where it is useless, and the honest answer to “why would I?” is “you wouldn’t”. So sums and differences use three-digit numbers, where the exact answer needs carrying, and products use two digits by two, where the exact answer needs a written method.

How this one works

126 + 158

126+158
130+158
130+160
290
  1. Do not work it out exactly. Round each number first. 126 is nearer 130 than 120, so to the nearest ten it becomes 130.
  2. 158 is nearer 160 than 150, so to the nearest ten it becomes 160.
  3. Now it is easy enough to do in your head: 130 + 160 = 290.
  4. The exact answer is 284, so the estimate of 290 is 6 away. Close enough to catch a wrong answer with, and you did it in your head.