Multiplying and Dividing by Powers of 10

The video tutorial by Mighty Owl introduces the concept of exponents and powers of 10 to simplify writing large and small numbers. It explains how to use exponents to represent repeated multiplication and division by 10, making it easier to handle large numbers like 80 million and small numbers like 9 thousandths. The tutorial includes practice problems to reinforce the understanding of moving decimal points based on the exponent value.

What is the base in the expression 10^3?

• 100

• 10

• 1000

• 3

How can 300,000 be expressed using powers of 10?

• 3 x 10^4

• 3 x 10^7

• 3 x 10^6

• 3 x 10^5

How many zeros are there in 80 million?

• 8

• 6

• 5

• 7

What happens to the decimal point when dividing by 10?

• It stays the same.

• It disappears.

• It moves to the left.

• It moves to the right.

How is 9 thousandths expressed using exponents?

• 9 / 10^3

• 9 x 10^3

• 9 x 10^2

• 9 / 10^2

If you multiply 32.98 by 10^5, what is the result?

• 32,980

• 329,800

• 32,980,000

• 3,298,000

What is the result of 4.5 x 10^7?

• 450,000,000

• 4,500,000,000

• 45,000,000

• 4,500,000