Understanding Powers of 10

The video tutorial explains how to express the number 834,068 in expanded form using powers of 10. It breaks down the number into its components, showing how each part corresponds to a power of 10. The tutorial verifies the calculation by demonstrating the equivalence of each component to its original value and concludes with a method to check the answer using a calculator.

What is the first step in writing a number in expanded form using powers of 10?

• Multiply each digit by 10

• Break down the number into its place values

• Add all the digits together

• Convert the number to binary

In the number 834,068, what does the '8' represent in terms of powers of 10?

• 8 times 10 to the power of 4

• 8 times 10 to the power of 3

• 8 times 10 to the power of 6

• 8 times 10 to the power of 5

How is the number 30,000 represented using powers of 10?

• 3 times 10 to the power of 6

• 3 times 10 to the power of 3

• 3 times 10 to the power of 5

• 3 times 10 to the power of 4

What is the equivalent of 4 times 10 to the power of 3?

• 400

• 4,000

• 40,000

• 400,000

What is the purpose of using a calculator in verifying the expanded form?

• To multiply the number by 10

• To find the square root of the number

• To convert the number to binary

• To check if the sum of components equals the original number

Which of the following is a correct way to verify the expanded form of a number?

• Subtract the components from the original number

• Add the components and compare with the original number

• Multiply the components together

• Divide the original number by 10