Writing and reading decimal — lesson. Mathematics CBSE, Class 7.

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Often we meet fractions with denominators of

$10, 100, 1000$ , etc.
For example,

$1$ g

$=$

$\frac{1}{1000}$ kg,

$1$ mm

$=$

$\frac{1}{10}$ cm,

$4$ cm

$3$ mm

$=$

$4 \frac{3}{10}$ cm, etc.

Numbers with denominators of

$10, 100, 1000$ , etc., agreed to write down without a denominator.
First, write the integer part, and then the numerator of the fractional part. The whole number part is separated from the fractional part by a point.

For example, instead of

$4 \frac{3}{10}$ , we write

$4.3$ (we read: "

$4$ integers and

$3$ tenths").
Instead

$5 \frac{19}{100}$ we write

$5.19$ (we read: "

$5$ as a whole and

$19$ hundredths").

Any number whose denominator of the fractional part is expressed as one with one or more zeros can be represented as a decimal fraction. If the fraction is correct, then the digit

$0$ is written before the decimal point.

For example, instead of

$\frac{21}{100}$ , we write

$0.21$ (we read: "

$0$ integers and

$21$ hundredths").

Important!

After the decimal point, the numerator of the fractional part should have as many digits as there are zeros in the denominator.

Therefore, for example, the number

$1 \frac{3}{100}$ should be written like this:

$1.03$ (read: "

$1$ whole and