A decimal number is a number with a decimal point.

The numbers to the right of the decimal point are called digits.

For example, $4.15$ is a decimal number with $2$ digits occupying decimal places.

The digits indicate what part is still added to the integer. For example, $4.15$ indicates that we add $\tfrac{15}{100}$ to $4$.

Examples

$32.1$

$301.102$

$5.18$

$6.20335$

$18.2$

For the integer $1258$, we say that it consists of:

$1$ thousand

$2$ hundreds

$5$ tens

$8$ ones

The value of $1258$ is therefore: $$1 \times 1000+2 \times 100+5\times 10 + 8 \times 1$$

Similarly, the decimal number $0.1258$ consists of:

$0$ ones

$1$ tenth

$2$ hundredths

$5$ thousandths

$8$ ten thousandths

The value of $0.1258$ is therefore: $$0\times 1+1 \times 0.1 + 2 \times 0.01 + 5 \times 0.001 + 8 \times 0.0001$$

Examples