Lesson

We have plotted whole numbers on number lines before. This skill will help with plotting decimal numbers.

A point is plotted on the number line. Find the number that is 6 units to the right of this plotted point.

Worked Solution

Idea summary

To plot a number on a number line, we must consider how many units each space between the ticks represents.

We can zoom in and divide \dfrac{1}{100} into 10 equal pieces to show \dfrac{10}{1000}, which we can then use to plot thousandths.

This video shows us how.

Plot 0.332 on the number line.

Worked Solution

Idea summary

To plot a decimal with thousandths, we can plot the hundredth before and after the decimal and divide the line between them into 10 spaces, where each space represents a thousandth.

From the smaller hundredth, we can count to the right how many thousandths there are in the decimal.

This video shows how to read numbers off of a number line for numbers in the thousandths.

What number is shown on the following number line?

Worked Solution

Idea summary

10 hundredths make 1 tenth.

10 thousandths make 1 hundredth.

Decimals and fractions are just different ways to express the same number.