Position of the decimal point — lesson. Mathematics State Board, Class 6.

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Decimal point position:

1. When a decimal number is multiplied by

$10$ ,

$100$ ,

$1000$ ,

$10000$ , we move the decimal point by

$1$ ,

$2$ ,

$3$ and

$4$ places respectively to the right side of the number.

2. When a decimal number is divided by

$10$ ,

$100$ ,

$1000$ ,

$10000$ , we move the decimal point

$1$ ,

$2$ ,

$3$ and

$4$ places respectively to the left side of the number.

Example:

1. Multiply

$125.643$ by

$10$ .

Number of zeroes in

$10$ is

$1$ . So, move the decimal point by one place to the right.

$125.643 \times 10 = 1256.43$

2. Multiply

$125.643$ by

$100$ .

Number of zeroes in

$100$ is

$2$ . So, move the decimal point by two places to the right.

$125.643 \times 100 = 12564.3$

3. Divide

$125.643$ by

$10$ .

Number of zeroes in

$10$ is

$1$ . So, move the decimal point by one place to the left.

$\frac{125.643}{10}$

$= 12.5643$

4. Divide

$125.643$ by

$1000$ .

Number of zeroes in

$1000$ is

$3$ . So, move the decimal point by three places to the left.

$\frac{125.643}{1000}$

$= 0.125643$

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3. Position of the decimal point

Theory: