Recognizing Powers of 10 with Negative Exponents

The video tutorial explains the concept of exponents, including both positive and negative exponents. It covers how exponents indicate the number of times a base is multiplied by itself. The tutorial delves into negative exponents, showing how they convert bases into fractions. It highlights patterns in powers of 10, where the exponent matches the number of zeros. The video also demonstrates converting fractions with powers of 10 into decimals by moving the decimal point. Finally, it provides practice problems to reinforce the concepts learned.

What does an exponent tell us in a power of 10?

• The value of the exponent

• The value of the base

• How many times to add the base

• How many times to multiply the base

What happens to the base when it has a negative exponent?

• It becomes a larger number

• It becomes a fraction

• It remains the same

• It becomes zero

What is 5 to the power of -3?

• 125

• 1/25

• 1/125

• 25

What pattern is observed in the number of zeros for positive powers of 10?

• The number of zeros is one less than the exponent

• The number of zeros is equal to the exponent

• The number of zeros is one more than the exponent

• There is no pattern

What is 10 to the power of -2?

• 1/10

• 1/100

• 1/1000

• 1/10000

How do you convert a fraction with a negative exponent into a decimal?

• Divide by 10

• Multiply by 10

• Move the decimal point to the left

• Move the decimal point to the right

What is 10 to the power of -4 in decimal form?

• 0.001

• 0.0001

• 0.01

• 0.1

What is 10 to the power of -3 in decimal form?

• 0.01

• 0.0001

• 0.1

• 0.001

What is 10 to the power of 5?

• 10,000,000

• 10,000

• 100,000

• 1,000,000

What is 10 to the power of -8?

• 1/100,000,000

• 1/1,000,000

• 1/100,000

• 1/10,000