1. 2-10 MULTIPLYING AND DIVIDING BY
CHAPTER 2 POWERS OF TEN
EXPONENT: The number that tells me the number of
times the base is multiplied by itself.
NEGATIVE POWER OF TEN: A number in exponential
form, where the base is 10 and the
Exponent is a negative integer. EX: 10–3

2. DO NOT COPY!!
Book page 106.
Exponential form Standard Form
105 = 100,000
104 = 10,000
103 = 1,000 POSITIVE POWERS OF TEN
102 = 100
101 = 10
100 = 1
10–1 = .1
10–2 = .01
10–3 = .001 NEGATIVE POWERS OF TEN
10–4 = .0001
10–5 = .00001

3. THE WORLD OF POSITIVE
MULTIPLY TIMES POSITIVE POWERS OF TEN
•You move the decimal point to same number of places to the RIGHT as the exponent
tells you.
•Annex zeros if necessary.
Example: 3.45 x 105 = 345 000.
DIVIDE BY POSITIVE POWERS OF TEN
•You move the decimal point to the same number of places to theLEFTas the exponent
tells you.
•Annex zeros if necessary.
Example: 50.7 ÷ 103 = .0507

4. NEGATIVE THE WORLD OF
Do it all the
opposite way!
MULTIPLY TIMES NEGATIVE POWERS OF TEN
•You move the decimal point to same number of places to the LEFT as the exponent
tells you.
•Annex zeros if necessary.
Example: 679 x 10–3 = .679
DIVIDE BY NEGATIVE POWERS OF TEN
•You move the decimal point to same number of places to the RIGHT as the exponent
tells you.
•Annex zeros if necessary.
Example: 41.2 ÷ 10–2 = 4120.

5. Since MULTIPLICATION and DIVISION are opposite (inverse) operations, it is logical that
the decimal point will move in opposite directions.
Division by POSITIVE powers of ten 1.0 Multiplication times POSITIVE powers of ten
LEFT RIGHT
Since POSITIVE is opposite (inverse) to NEGATIVE, it is logical that the decimal points
will move the inverse way.
Multiplication times NEGATIVE powers of ten 1.0 Division by NEGATIVE powers of ten
LEFT RIGHT