Understanding Exponents of Decimals

In this video, Mr. J explains how to work with exponents of decimals through four examples. He demonstrates the process of expanding decimals and calculating their powers, emphasizing the importance of placing the decimal correctly in the final answer. The video covers examples such as two tenths to the power of four, four hundredths to the power of three, five tenths to the power of three, and one and two tenths to the power of two. Each example is broken down step-by-step to ensure understanding.

What does an exponent indicate when applied to a decimal number?

• The number of times the decimal is divided by itself

• The number of times the decimal is subtracted from itself

• The number of times the decimal is multiplied by itself

• The number of times the decimal is added to itself

How many digits should be to the right of the decimal in the answer for 0.2 to the power of 4?

• Four digits

• Three digits

• Two digits

• One digit

What is the result of 0.2 raised to the power of 4?

• 0.0016

• 0.000016

• 0.016

• 0.00016

How many digits should be to the right of the decimal in the answer for 0.04 to the power of 3?

• Seven digits

• Four digits

• Six digits

• Five digits

What is the result of 0.04 raised to the power of 3?

• 0.000064

• 0.00064

• 0.0064

• 0.064

How many digits should be to the right of the decimal in the answer for 0.5 to the power of 3?

• Four digits

• Three digits

• Two digits

• One digit

What is the result of 0.5 raised to the power of 3?

• 0.125

• 0.0125

• 1.25

• 12.5

How many digits should be to the right of the decimal in the answer for 1.2 to the power of 2?

• Four digits

• One digit

• Two digits

• Three digits

What is the result of 1.2 raised to the power of 2?

• 14.4

• 144

• 1.44

• 0.144

What is the importance of placing the decimal correctly in the final answer when dealing with exponents of decimals?

• It has no effect on the final answer

• It only affects the whole number part

• It only affects the fractional part

• It determines the size of the number