Understanding Powers of Ten

This video tutorial explores the concept of multiplying by powers of ten. It begins by identifying patterns in powers of ten, showing how the number of zeros corresponds to the exponent. The tutorial then demonstrates how to multiply whole numbers and decimals by powers of ten, using shortcuts like moving the decimal point to the right. Several examples are provided to illustrate these concepts, making it easier to understand and apply the techniques in various mathematical problems.

What is the value of ten raised to the power of three?

• 10

• 100

• 10,000

• 1,000

How many zeros are in the number represented by ten to the fifth power?

• 5

• 3

• 4

• 6

What is the result of multiplying five by ten squared?

• 50

• 50,000

• 500

• 5,000

When multiplying a number by ten to the fourth power, how many zeros should be added to the number?

• 2

• 3

• 4

• 5

What is the shortcut for multiplying a decimal by a power of ten?

• Move the decimal point to the left

• Multiply by ten repeatedly

• Add zeros to the end

• Move the decimal point to the right

How do you calculate 0.5 times ten squared using the shortcut?

• Multiply by 100

• Add two zeros to the end

• Move the decimal two places to the right

• Move the decimal two places to the left

What is the result of 1.27 times ten to the third using the shortcut?

• 12,700

• 1,270

• 127

• 127,000

How many zeros are added when multiplying 27.34 by ten to the fifth?

• 2

• 3

• 4

• 5

What is the product of 1.275 times ten to the fourth?

• 1,275

• 12,750

• 12,750,000

• 127,500

What is the key takeaway when multiplying by a positive power of ten?

• Move the decimal point to the right

• Always add zeros

• Multiply by ten repeatedly

• Move the decimal point to the left