Understanding Powers of 10: Evaluating Expressions and Place Value

This video tutorial teaches how to mentally evaluate expressions with powers of 10 by using patterns in place value. It explains how multiplying or dividing by powers of 10 affects the value of digits, and how to shift the decimal point accordingly. The tutorial includes examples of evaluating expressions and applies these concepts to real-world scenarios, such as calculating large monetary values.

What happens to the value of each digit when a number is multiplied by a power of 10?

• It becomes zero.

• It increases by 10 times for each power.

• It remains the same.

• It decreases by 10 times for each power.

How are whole numbers and decimal numbers separated in the number system?

• By a semicolon

• By a comma

• By a space

• By a decimal point

When dividing by a power of 10, in which direction do you shift the decimal point?

• To the left

• It disappears

• To the right

• It stays in the same place

What is the value of the expression 539 * 10 to the 4th power?

• 53,900,000

• 53,900

• 5,390,000

• 539,000

How much money is represented by 15 * 10 to the 8th power dollars?

• $1,500,000

• $150,000,000

• $1,500,000,000

• $15,000,000,000