6.03 Decimal numbers on number line

Use the fact that each space on the number line represents an increase of 1 unit.

Starting at the plotted point jump 6 spaces to the right.

We can see on the number line, that we are 1 space below 10, so we are at the number 9.

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 number on the number line is: 0.016