Exponents 09 – Powers of 10 P1

# Exponents 09 – Powers of 10 P1

• Expressing Numbers Using Powers of 10
• What’s Next?

In the previous segment, we looked at the concept of Power of Product and the Power of Quotient Property. In this segment, we will learn how to express large numbers in the standard form.

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## How to Express numbers using powers of 10?

Any number can be expressed using the power of 10. Such a form of a number is called its

## Standard form.

In this form, the number is written as a decimal number between 1.0 and 10.0 and then multiplied by a power of 10.

To convert a number to its standard form, split the number, count the number of zeros, and write it in exponential form.

For example,

## (i) 5000

5000 = 5 x 1000

Number of zeros in 1000 = 3

Thus, the exponential form of 5000 = 5 × 103.

## (ii) 300000000

300000000 = 3 x 100000000

Number of zeros in 100000000 = 8

Thus, the exponential form of 300000000 is 3 × 108.

## (iii) 2330000000

As per the standard form, the number before the decimal point should be from 1.0 to 10.0 and 233 is 233.0,

So, 2330000000 =(2.33 × 100) × 107

= (2.33 × 102) × 107

= 2.33 × 102 × 107

= 2.33 × 109

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