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Maths · Years 3-4
How can I teach hundreds, tens and ones with zero placeholders?
Link each digit to its place value and represent a missing part with zero. Then explore exchanges so children can recognise equivalent partitions of the same number.
Download: Hundreds, tens and ones
A4 PDF · 2 pages · free · no sign-up
Print page 1 for the activity and keep page 2 for teaching notes and answers or suggested responses.
Use A4 paper at 100% or Actual size. Choose by the task and your class; the suggested range is a starting point, not a curriculum-alignment claim.
How to use this resource
- Build a three-digit number and place each part in the chart.
- Compare a number with zero tens to one with zero ones.
- Use materials to exchange a hundred for ten tens or a ten for ten ones before the flexible-partition questions.
Make it easier or add challenge
More support
Begin with numbers that have all three parts and add a zero placeholder once the representations are understood.
More challenge
Represent one number in three different ways and explain why its total value stays the same.
What to look for
Can the child distinguish 405 from 450 and explain a flexible partition? The empty chart is reusable thinking space.
Teacher answers and suggested responses
1. 3, 0, 6.
2. 4, 7, 0.
3. 528.
4. 0 and 2.
5. 40 ones.
6. 34 tens.
7. No. Both have 4 hundreds, but 450 has 5 tens and 405 has 0 tens.
A useful next step
Printing, access and sharing
Allow drawing, discussion, practical materials or usual communication tools where they support the learning aim. Use separate paper if a child needs more writing or drawing space.
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