Skill: Relate tenths to fractions and decimals

A tenth is one of 10 equal parts of a whole.

$$\text{one tenth}=\frac{1}{10}=0.1$$

Each additional tenth adds another $(0.1)$.

Example: Represent 2 wholes and 3 tenths.

1. There are $2$ whole units and $3$ tenths.
2. Write the amount as a fraction:

$$2\frac{3}{10}$$

The $3$ in the numerator means 3 tenths.

3. Write the amount as a decimal. The tenths digit goes immediately to the right of the decimal point:

$$2.3$$

So,

$$2\frac{3}{10}=2.3$$

4. To show $(2.3)$ on a number line, look between $2$ and $3$. Divide that space into 10 equal parts. Each step is one tenth:

$$2,\ 2.1,\ 2.2,\ \boxed{2.3},\ 2.4,\ldots,3$$

The point for $(2.3)$ is the third tenth after $2$. Thus, $(2.3)$ means 2 wholes and 3 tenths.