Exponents 11 – Powers of 10 P3

Table of Contents

• Converting Powers of 10
• Summary
• What’s Next?

In the previous segment, we learnt how to express small numbers as powers of 10. In this segment, we will learn the conversion of numbers expressed as a power of 10 into normal form.

How to convert numbers from power of 10 to normal form?

To convert the number from power of 10 to its normal form, observe the sign of the power of 10.

• If the power of 10 is positive, then the decimal point moves to the right.
• If the power of 10 is negative, then the decimal point moves to the left.

For example,

Q. Express ?. ?? × ??^? without the power of 10. Solution:

Here, the power of 10 is a positive number. So, the decimal point moves to the right.

Since the power is 4, the decimal point will move 4 places to the right of the number which is multiplied with the power of 10.

Hence, 4.53 × 10⁴ = 45300.

Q. Express ?. ?? × ??^−? without the power of 10. Solution:

Here the power of 10 is a negative number. So, the decimal point moves to the left.

Since the power is 3, the decimal point will move 3 places to the left of the number which is multiplied with the power of 10.

Hence, 4.53 × 10⁻³ = 0.00453.

Summary