Ordering 0.5, 0.45 and 0.405 trips up half of every Year 5 class. The fix is one simple habit — pad every number to the same number of decimal places — and this lesson drills it with clear examples.
Give every decimal the same number of decimal places.
Order them place by place, like a dictionary orders words.
Give your answer using the numbers as they were written.
Order 2.3, 2.09, 2.31 and 2.9 from smallest to largest.
Wrong! More digits isn’t bigger. 2.09 < 2.90 — compare tenths: 0 vs 9.
Careful! With 4+ numbers it’s easy to drop one. Count your answer list — it must match the question.
Check the question! This is largest-to-smallest. If it asks smallest-to-largest, reverse it.
Pad them all to the same number of decimal places with zeros — 0.5 becomes 0.500 — then order them like whole numbers of thousandths.
No. Zeros at the end of the decimal part change nothing: 0.5 = 0.50 = 0.500. They only make comparing easier.
Because it exposes whether a child truly understands place value or is just reading digits. The pad-with-zeros habit shows genuine understanding.
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