Multiplying and Dividing by Powers of 10

Based on the picture, what is the answer in the question mark?

• 3

• 3,000

• 4

• 1

What is always the results when you a number has the power of 0?

• 0

• 1

• -0

• itself

Based on the picture, are these numbers equal to each other?

• yes, 4 = 4.

• no, 4 ≠ 4.

What is another way to write this equation?

• 4. x 1 = 40

• 4. x 10 = 4.

• 4 x 1 = 4

• 4. ÷ 10 = 4

Why did the decimal move one place to the right?

• 5 was multiplied by 1

• 5 was multiplied by 10

• 5 was multiplied by 100

• 5 was divided by 10

Why did the decimal move 4 places to the right?

• You are multiplying by 10 to the 4th power

• You are dividing by 10 to the 4th power

What is another way to write this equation?

• 4 ÷ 10 = 4

• 4 ÷ 1 = 4

• 4 x 10 = 40

• 4 ÷ 100 = .04

What do you notice?

• Anything times 1 equals itself

• Anything divided by 1 equals itself

• a number with a power of 0 always equals 1

• All of the above are correct

Based on the picture, what do you notice?

• Multiplying by a power of ten you move the decimal to the left and when dividing by a power of 10 you move the decimal to the right.

• Multiplying by a power of ten you move the decimal to the right and when dividing by a power of 10 you move the decimal to the left.

Why did the decimal move one place to the left?

• 5 was divided by 1

• 5 was divided by 10

• 5 was divided by 100

• 5 was multiplied by 10