Where does 2.7 sit? What about 0.65? Placing decimals on a number line builds the number sense that makes comparing and rounding easy — and it's a favourite 11+ question. This lesson shows the method with clear diagrams.
2.7 is bigger than 2 but smaller than 3.
Each small step between 2 and 3 is one tenth (0.1).
Count 7 steps from 2: that's 2.7.
Mark 0.3, 0.65 and 0.9 on a number line from 0 to 1.
Careful! There are 11 marks but only 10 gaps. Each gap is one tenth.
Wrong! 0.65 is less than 0.7. It sits between 0.6 and 0.7, halfway along.
Wrong! 2.10 equals 2.1, near the start. After 2.9 comes 3.0.
Find the two whole numbers it sits between, split that gap into ten equal tenths, then count along. For 2.7, go seven tenths of the way from 2 to 3.
Between 0.6 and 0.7, exactly halfway — because 0.65 is 65 hundredths, and 5 hundredths is half a tenth.
They turn abstract digits into positions children can see, which makes comparing, ordering and rounding decimals far more intuitive.
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