Converting scientific notation to decimal form — lesson. Mathematics State Board, Class 9.

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The process of converting scientific notation to decimal form can be determined using the following steps:

1. Shift the number of decimal mentioned in the power of

$10$ and add zeros if necessary.

2. If the power of

$10$ is positive shift the decimal to the right side. If the power of

$10$ is negative shift the decimal to the left side.

3. Write the number in decimal form.

Example:

Convert the following numbers into decimal form: (i)

$5.23 \times 10^3$ (ii)

$7.2 \times 10^{-4}$

Solution:

(i) In the scientific notation

$5.23 \times 10^3$ , the power of

$10$ is positive. So, let us shift the decimal to the right side. Thus, we have:

$5.23 \times 10^{3} = 5230$

Therefore, the decimal number is

$5230$

(ii) In the scientific notation

$7.2 \times 10^{-4}$ , the power of

$10$ is negative. So, let us shift the decimal to the left side. Thus, we have:

$7.2 \times 10^{-4} = 0.00072$

Therefore, the decimal number is

$0.00072$

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10. Converting scientific notation to decimal form