Decimals on a Number Line

Decimals practice

Read the marked value on lines with tenths, hundredths or thousandths steps.

Start Practice

About this practice

Read the decimal at the marked tick on a number line.

In this practice, each number line has a label at each end and 10 equal spaces between them. One tick is marked. Choose the decimal it shows. One space can be worth a tenth, a hundredth or a thousandth, and the values can be above or below 1.

Typical level: Grade 4 and beyondIn the U.S. Common Core, Grade 4 works with decimals through hundredths. This practice also goes to thousandths, using the same place-value reasoning. Curriculum timing varies.

Read the labels before you count the ticks

Example: a line from 2.4 to 2.5

1 2 3 4 5 6 7 8 9 10 2.4 2.5 2.46
One space is worth 0.01.
  1. Read the labels 2.4 to 2.5 The line covers 0.1.
  2. Find one space 0.1 ÷ 10 = 0.01 The 10 equal spaces share the 0.1, so each is worth 0.01.
  3. Count from the left label 2.4 + 6 × 0.01 = 2.46 The marked tick is 6 spaces from 2.4.

Count spaces, not ticks. The left label is zero spaces from itself, so the first tick after it is 1 space.

Zooming in works the same way

A line from 0.42 to 0.43 looks just like the one above, but it covers only 0.01. Ten spaces share it, so each space is worth 0.001. A tick 7 spaces from 0.42 is 0.427.

The picture stays the same size while the numbers change. The labels tell you how much one space is worth, so read them first.