FRAME

NO. 53

Solution:

Changing from 10-6 to 10-3 means the

4.24 X 10-6 = .00424 X 10-3

exponent changes by 3 in a POSITIVE

direction; so the decimal point in 4.24

moves 3 places to the LEFT. Changing

from 104 to 10-2 means the exponent

Solution:

changes by 6 in a NEGATIVE direction;

6.28 X 104 - 6,280,000 X 10-2

so the decimal point in 6.28 moves 6

places to the RIGHT.

FRAME

NO. 54

Powers of 10 simplify problem solving. For example:

9X 107

Division: 66.000 = 6.6 X 104 = 6.6 X 104 X 10-3 = 2.2 X 101 or 22

3,000

3 X 103

3

Extracting square root:

4,000,000

=

4 X 106

=

2 X 106+2 = 2 X 103

Squaring a

number:

(20,000)2 = (2 X 104)2 = 4 X 104x2 = 4 X 108

Study the examples above for a moment.