6.04 Decimal numbers on number line

The line between 0.5 and 0.6 has been divided into 10 spaces, so each space in the number line is equal to \dfrac{1}{100} or 0.01.

The point is plotted 5 spaces up from 0.5. 5 lots of 0.01 is 0.05.

So we need to add 0.05 to 0.5. We can use a place value table to add them.

So the number in the number line is 0.55.

There are 10 spaces between 0.33 and 0.34, so each space on the number line is equal to \dfrac{1}{1000} or 1 thousandth.

0.332 has 2 thousandths. To plot 0.332\, we need to move 2\, spaces to the right of 0.33.

Since there are 10 spaces between 0 and 0.01, each space on the number line is equal to 1 thousandth or 0.001.

The point is 1 space after 0.015. So we need to add 1 thousandths, or 0.001, to 0.015.

We can use a vertical algorithm: \begin{array}{c}& &0 &. &0 &1 & 5 \\ &+ &0 &. &0 &0 &1 \\ \hline & &0 &. &0 &1 &6 \\ \hline \end{array}

So the the number on the number line is: 0.016