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Place value: tens and ones

Method: Columns for tens and ones

A two-digit number is built from tens and ones. In 35 the left digit counts tens and the right digit counts ones, so 35 is 3 tens (30) and 5 ones. When you hear 'thirty-five', the 'thirty' already fills the tens column, so the 5 sits in the ones column beside it — you do not write 30 and 5 next to each other. Say the tens digit first and write it on the left, then the ones digit on the right.

Explore this idea with maths tools

Build a number

2 tens + 4 ones = 20 + 4 = 24

Move from 29 to 30. Ten ones become one ten. The amount stays the same when you regroup.

Words to know

digit
a single number symbol from 0 to 9
place value
the value a digit has because of its column
ones
the right-hand column, worth one each

Worked examples

thirty-five

  1. 1.3 tens and 5 ones.
  2. 2.30 + 5 = 35.

= 35

forty-two

  1. 1.4 tens and 2 ones.
  2. 2.40 + 2 = 42.

= 42

sixty

  1. 1.6 tens and 0 ones.
  2. 2.60 + 0 = 60.

= 60

For parents

Method: Base-ten blocks: ten-rods for tens, unit-cubes for ones.

What to say: Ask 'how many tens? how many ones?' then write the tens digit on the left.

Common mistakes:

  • Writing 'thirty-five' as 305 (both parts in full).
  • Reversing the digits to 53.
  • Adding the digits: 3 tens and 5 ones read as 8.