Skill: Decompose a two-digit number

Explanation and Free Practice Resources

Decomposing a two-digit whole number means interpreting it as a number of tens and some ones, using the equivalence 11 ten =10= 10 ones; for example, 47=447 = 4 tens +7+ 7 ones =40+7= 40 + 7. The learner connects the numeral, place-value representation, and additive equation, understanding that a digit’s value depends on its position rather than its face value. This scope is limited to whole numbers from 10 through 99, not larger-number generalizations or decimal decomposition.

Detailed Explanation: Decompose a two-digit number

A two-digit number has:

  • a tens digit, which tells how many groups of 10
  • a ones digit, which tells how many extra ones

Remember: 11 ten is the same as 1010 ones.

Example: Decompose 4747.

  1. Look at the tens digit: 44.
    This means 44 tens, or 4040.

  2. Look at the ones digit: 77.
    This means 77 ones, or 77.

  3. Put the parts together:

47=4 tens+7 ones47 = 4\text{ tens} + 7\text{ ones} 47=40+747 = 40 + 7

So, 4747 is 4 tens and 7 ones.

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Base 10 Blocks - Counting - Number to Picture, Tens and Ones


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