When we multiply a number by a positive power of 10, we move the decimal point of the number to the right.
When we multiply a number by a negative power of 10, we move the decimal point of the number to the left.
The number of places to move would be equal to the index of 10.
3 × 104 = 30,000
3 × 10-4 = 0.0003
The following diagrams give more examples of multiplying by positive powers of 10 and negative powers of 10.
How to multiply by powers of 10?
27 × 100
398 × 1000
29.5 × 10
Multiplying by Powers of Ten
Notice that 10n in expanded form is 1 followed by n zeros.
This video explains how to multiply whole numbers and decimals by powers of ten.
Multiplying a Decimal by a Power of 10
A single postage stamp costs $0.44. How much would a roll of 1,000 stamps cost?
Multiply & Divide by Powers of Ten
MR - Multiply -> Right
DL - Divide <- Left
Multiply by Powers of 10
In this lesson, you will learn how to multiply numbers by powers of 10. We will learn that multiplying by a power of 10 simply moves the decimal point and allows the student to multiply very rapidly by large numbers.
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