Understanding Exponents of Decimals

This video tutorial provides practice in evaluating exponents of decimals. It begins with an introduction to the concept, followed by a detailed calculation of 0.2 raised to the third power. The tutorial then presents another example, calculating 0.9 squared, demonstrating the process of multiplying decimals and determining the correct placement of the decimal point in the product. The video emphasizes that the process of taking exponents of decimals is similar to that of integers, with additional attention to decimal placement.

What does it mean to raise a decimal to the third power?

• Multiply the decimal by three

• Multiply the decimal by itself three times

• Divide the decimal by three

• Add the decimal three times

What is the result of 0.2 multiplied by 0.2?

• 0.02

• 0.2

• 0.04

• 0.4

How many digits should be to the right of the decimal in the product of 0.2 times 0.2 times 0.2?

• Four

• Three

• Two

• One

What is the result of multiplying 0.2 by 0.2 and then by 0.2 again?

• 0.08

• 0.0008

• 0.008

• 0.8

What is 0.9 squared?

• 0.9

• 0.09

• 0.81

• 0.18

How many digits are to the right of the decimal in the product of 0.9 times 0.9?

• Four

• Three

• Two

• One

What is the product of 9 times 9?

• 27

• 18

• 81

• 72

What is another way to express 0.9 times 0.9?

• Nine tenths of nine tenths

• Nine tenths of nine

• Nine times nine tenths

• Nine tenths of one

How is taking exponents of decimals similar to integers?

• It involves division

• It involves multiplication

• It involves subtraction

• It involves addition

What is a key difference when taking exponents of decimals compared to integers?

• You need to divide numbers

• You need to subtract numbers

• You need to add more numbers

• You need to consider decimal placement