Understanding Decimal Notation and Powers of 10

The video tutorial explains how to write numbers in decimal notation when multiplying by powers of 10. It covers the effect of multiplying by positive and negative powers of 10, showing that a number gets larger with positive powers and smaller with negative powers. Two examples are provided: one with a positive power of 10, where the decimal point is moved to the right, and another with a negative power of 10, where the decimal point is moved to the left. The tutorial emphasizes filling in missing digits with zeros to achieve the final result.

What happens to a number when it is multiplied by a positive power of 10?

• The number becomes smaller.

• The number remains the same.

• The number becomes negative.

• The number becomes larger.

If you multiply 5.72 by 10 to the power of 7, what is the result?

• 57,200,000

• 5,720,000

• 572,000,000

• 572,000

How many places do you move the decimal point to the right when multiplying 5.72 by 10^7?

• 8 places

• 7 places

• 6 places

• 5 places

What is the result of multiplying 1.5 by 10 to the power of -4?

• 0.00015

• 0.0015

• 0.015

• 0.000015

When multiplying by a negative power of 10, in which direction do you move the decimal point?

• To the right

• It stays in the same place

• It disappears

• To the left