Comparing Numbers in Exponential Notation

This video tutorial teaches how to compare numbers written in exponential notation by understanding place value. It reviews powers of 10, explaining how exponents indicate the number of times 10 is used as a factor. The tutorial compares numbers like 3.2 x 10^4 and 3.2 x 10^5, showing how to determine which is greater by examining exponents and shifting decimals. It also compares 1.4 x 10^3 and 1.4 x 10^4, reinforcing the concept that a higher exponent results in a larger number. The lesson concludes by emphasizing the importance of comparing exponents when whole numbers and decimals are equal.

What is the value of 10 to the third power?

• 10

• 10,000

• 100

• 1,000

Why is 3.2 times 10 to the fifth power greater than 3.2 times 10 to the fourth power?

• Because 10 to the fifth power is 10 times greater than 10 to the fourth power

• Because the decimal point is moved to the right

• Because 3.2 is larger in the second expression

• Because the base number is different

How many zeros are added when shifting the digits in 3.2 times 10 to the fourth power?

• One zero

• Two zeros

• Four zeros

• Three zeros

What happens to the digits in 1.4 times 10 to the fourth power when compared to 1.4 times 10 to the third power?

• They remain unchanged

• They are shifted three places to the left

• They are shifted four places to the left

• They are shifted one place to the right

Why is it important to compare exponents when the whole numbers and decimals are equal?

• Because the base number changes

• Because the numbers are always equal

• Because the decimal point moves to the right

• Because the exponent determines the number of times the base is multiplied