Understanding Powers of Ten and Rates

This video tutorial covers 8th grade mathematics, focusing on representing small numbers on a number line. It includes three main problems: identifying expressions equal to 4 * 10^-3, writing expressions as multiples of powers of 10, and analyzing a graph of a road trip to determine speed and distance. The video concludes with a call to action for viewers to like and subscribe.

Which of the following expressions is equal to 4 * 10^-3?

• 0.0004

• 0.004

• 40,000

• 4,000

What is the decimal representation of 4 * 10^-3?

• 0.04

• 4.0

• 0.0004

• 0.004

Which expression is NOT equal to 4 * 10^-3?

• 0.004

• 4 * 1,000

• 4,000

• 0.0004

What is the decimal representation of 4 * 10^-3?

• 0.004

• 0.04

• 0.0004

• 4.0

Which expression is NOT equal to 4 * 10^-3?

• 4 * 1,000

• 4,000

• 0.004

• 0.0004

How can you express 72,000 as a multiple of a power of 10?

• 0.72 * 10^5

• 7.2 * 10^-2

• 72 * 10^-3

• 7.2 * 10^4

What is the power of 10 for the expression 3.25 * 10^n if the decimal is five places to the left of the three?

• -3

• -5

• -1

• -2

How would you express 3,000 as a multiple of a power of 10?

• 3 * 10^-2

• 3 * 10^2

• 3 * 10^-3

• 3 * 10^3

What is the correct power of 10 for the expression 0.23?

• 0.23 * 10^0

• 2.3 * 10^-1

• 2.3 * 10^1

• 23 * 10^-2

How can you express 41 millionth as a multiple of a power of 10?

• 4.1 * 10^-5

• 4.1 * 10^5

• 41 * 10^-6

• 0.41 * 10^5