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Place value: to thousands

Method: Four columns with zero place-holders

Larger numbers use four columns: thousands, hundreds, tens and ones. Each spoken part names a column, not a new number to write in full. 'Two thousand and five' is 2 in the thousands column and 5 in the ones column, with zeros holding the empty hundreds and tens: 2005. An empty column still needs a 0 to keep the other digits in place — without it, 3040 collapses to 340 and every digit shifts.

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

place-holder
a 0 that keeps an empty column in place
thousands
the fourth column from the right
column
a place-value position for one digit

Worked examples

two thousand and five

  1. 1.2 thousands, 0 hundreds, 0 tens, 5 ones.
  2. 2.2000 + 0 + 0 + 5 = 2005.

= 2005

three thousand and forty

  1. 1.3 thousands, 0 hundreds, 4 tens, 0 ones.
  2. 2.3000 + 0 + 40 + 0 = 3040.

= 3040

two thousand three hundred

  1. 1.2 thousands, 3 hundreds, 0 tens, 0 ones.
  2. 2.2000 + 300 + 0 + 0 = 2300.

= 2300

For parents

Method: Draw the four columns and drop each spoken part into its column.

What to say: Ask 'which column does that part go in?' and fill empty columns with 0.

Common mistakes:

  • Writing 'two thousand and five' as 20005.
  • Dropping the internal zero: three thousand and forty as 340.
  • Writing each chunk in full: two thousand three hundred as 2000300.