Multiplying by Powers of 10: Key Concepts and Patterns

This video tutorial by Kirk Weiler covers the concept of multiplying by integer powers of 10, both positive and negative. It explains how positive powers of 10 move the decimal point to the right, while negative powers move it to the left. The lesson emphasizes understanding these concepts without a calculator, as they are fundamental to scientific notation. Exercises are provided to practice these skills, and the video concludes with a summary of key points.

Why is it important to understand both positive and negative powers of 10?

• To use a calculator more effectively

• To represent very large and very small numbers

• To solve addition problems

• To understand fractions better

What is the result of 10^3?

• 10

• 10,000

• 100

• 1,000

How many zeros are there in 10^6?

• 6

• 5

• 4

• 3

What does 10^-2 represent?

• 0.1

• 0.01

• 0.001

• 0.0001

How do you move the decimal point when multiplying by 10^-3?

• 2 places to the left

• 3 places to the left

• 3 places to the right

• 2 places to the right

What is the result of 5 x 10^2?

• 50,000

• 50

• 5,000

• 500

How do you calculate 7.2 x 10^3?

• Move the decimal 2 places to the right

• Move the decimal 3 places to the left

• Move the decimal 3 places to the right

• Move the decimal 2 places to the left

What is the result of 3 x 10^-2?

• 3

• 0.3

• 30

• 0.03

What is the result of 8.1 x 10^5?

• 8,100

• 810

• 81,000

• 810,000

How do you calculate 27.18 x 10^-5?

• Move the decimal 5 places to the right

• Move the decimal 4 places to the left

• Move the decimal 5 places to the left

• Move the decimal 4 places to the right