Graph decimals and fractions on a number line: tenths
31 October 2026
Understanding how to place decimals and fractions on a number line helps children see how numbers fit together. When the line is split into tenths, each mark shows a small step from zero to one. This makes it easier to see that a decimal like 0.3 is the same as the fraction 3/10.
Worked example
Question: Place 0.3 and 3/10 on a number line from 0 to 1, divided into tenths.
Step 1: Draw a straight line. Mark 0 at one end and 1 at the other end.
Step 2: Split the space between 0 and 1 into 10 equal parts. Each small jump is one tenth (0.1).
Step 3: Count the jumps. The first mark after 0 is 0.1. The second is 0.2. The third is 0.3.
Step 4: 0.3 means three tenths. The fraction 3/10 means the same as 0.3.
Step 5: Put a dot above the third mark. Label it with both 0.3 and 3/10.
The correct answer is: 0.3 and 3/10 go at the third mark between 0 and 1 on the number line.
Click or tap on the number line to answer
Key insight: When your child can spot where 0.3 and 3/10 go, they start to see the link between decimals and fractions. They are now ready to practise placing other tenths on a number line and build confidence with this skill.
