Composing numbers from expanded form worksheets

Given 300 + 40 + 7, write 347 — expanded form run backwards. These free printable sheets hand a child the parts and ask for the number they make, the direction that catches a child who says the parts without believing them.

Kid stuck on one? You don’t just get the sheet.

Composing numbers from expanded form
Composing numbers from expanded form worksheet — Two to four digits, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Writing 347 back from 300 + 40 + 7 needs the columns to line up, and that is exactly the step a child skips once they have learned to say “three hundred, forty, seven” without trusting it. The mistake this sheet exists to find is 3407 — every part written where it was heard rather than where its place puts it. Getting 347 instead means the place value has actually landed.

Why this sheet works

The zeros are the test inside the test. 100 + 5 makes 105, not 15 — the empty tens column has to be filled with a zero the parts never mentioned. Numbers with an interior zero turn up on every page for that reason, because supplying the missing column is the part a child who only half-understands the notation gets wrong.

How this one works

One question from this sheet, worked through a step at a time.

300 + 70 + 8 = ?

300 + 70 + 8
300 + 70 + 8=378
  1. This is expanded form run backwards: each piece already says which column it belongs in, so nothing needs working out — only placing.
  2. Put each one in its own column and the number falls out: 378.