Practice Number line

A number line orders numbers from smaller on the left to larger on the right, with equal distances for equal differences.

It helps you compare values and understand negative numbers.

Exercises with solutions

On a number line the numbers are ordered by size: smaller to the left, larger to the right. The gap between neighbouring numbers is always the same. Negative numbers lie to the left of zero.

Exercise 1

Which number is exactly halfway between 20 and 50?

Show solution and working

35

The gap is 30, half of it is 15. So the midpoint is 20 + 15 = 35.

Exercise 2

Put in order of size: −3, 5, −7, 0, 2.

Show solution and working

−7, −3, 0, 2, 5

Negative numbers lie left of zero. The larger the magnitude, the further left the number sits.

Exercise 3

Which number is 4 steps to the left of 1?

Show solution and working

−3

Count four times to the left from 1: 0, −1, −2, −3.

Exercise 4

On a number line 30 is exactly halfway between 10 and an unknown number. What is it?

Show solution and working

50

The gap from 10 to 30 is 20. To the right of 30 the unknown number is equally far away: 30 + 20 = 50.

Common mistake

Reversing the order for negative numbers. −7 is smaller than −3, even though 7 is larger than 3. Comparing without the sign flips the order.

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Area: Numbers and arithmeticFrom grade 5 · Grades follow the North Rhine-Westphalia curriculum; other German states may introduce topics at different times.
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