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Why a longer decimal is not a bigger one

Place value

A quick decimal-ordering puzzle showing why more digits after the point doesn't mean a bigger number.

Challenge level
Warm-up
01
Have a go first

The Question

Write these five numbers in order, smallest first: 3.09, 3.9, 3.099, 3.19, 3.0999

02
Then check together

The Answer

Reveal the Answer
3.09, 3.099, 3.0999, 3.19, 3.9

Line up the decimal points and compare column by column. The classic error is reading 3.0999 as the largest because it has the most digits — length is not size.

Now watch the solution

Why a longer decimal is not a bigger one
Singapore Maths Academy
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Pencil and paper

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