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NO. 55

Study the problems below, then continue.

10,000 X 100

= ______________

0000001 X .001

= ______________

10,000 X .001

= ______________

23,000 X 500

= ______________

6,200 X .02.X 2,000

= ______________

Solution:

To MULTIPLY two or more numbers using powers of 10, ADD the EXPONENTS

(power) and retain the base 10.

Thus:

10,000 X 100 = 1 X 104+2 = 106

.0000061 X .001 = 1 X 10-7+(-3) = 10-10

10,000 X .001 = 1 X 104+(-3) = 101

23,000 X 500 = 2.3 X 104 X 5 X 102 = 11.5 X 104+2 = 11.5 X 104+2

= 11.5 X 106

6,200 X .02 X 2,000 = 6.2 X 103 X 2 X 10-2 X 2 X 103

= 24.8 X 103+(-2)+3 = 24.8 X 104

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NO. 56

Solve using powers of 10.

(1 X 106)(1 X 103)(1 X 10-3)(1 X 106) =