Understanding Multiplication and Division by 10, 100, and 1,000

The video tutorial explains the effects of multiplying and dividing numbers by 10, 100, and 1,000. It uses examples to demonstrate how digits shift in place value when these operations are performed. The instructor emphasizes understanding the underlying concept of digit shifting rather than just adding or removing zeros. Examples include multiplying 237 by 10, dividing 450 by 10, multiplying 359 by 100, dividing 75,000 by 100, multiplying 164 by 1,000, and dividing 198,000 by 1,000.

What happens to the digits of a number when you multiply it by 10?

• They shift one place to the right.

• They shift one place to the left.

• They shift two places to the left.

• They remain unchanged.

How does multiplying by 10 affect the placement of zeros in a number?

• Adds one zero to the left

• Adds one zero to the right

• Removes one zero from the right

• Removes one zero from the left

What is the result of multiplying 237 by 10?

• 23,700

• 2,370

• 2,370,000

• 237

When dividing 450 by 10, what is the resulting number?

• 4500

• 4.5

• 0.45

• 45

How many places do the digits shift when multiplying a number by 100?

• Two places to the left

• Three places to the left

• One place to the right

• Two places to the right

What is the result of dividing 75,000 by 100?

• 750

• 7,500

• 750,000

• 75

When multiplying by 1,000, how many places do the digits shift?

• Four places to the left

• Three places to the left

• Two places to the left

• One place to the left

What is the result of multiplying 164 by 1,000?

• 1,640

• 16,400

• 164,000

• 1,640,000

If you divide 198,000 by 1,000, what is the result?

• 198

• 1,980

• 19,800

• 198,000

What is the effect of dividing a number by 1,000 on its digits?

• They shift one place to the right.

• They shift two places to the right.

• They shift three places to the right.

• They remain unchanged.