b. When an exponential term is moved from one side of the division line to the

other, the exponent changes signs.

Example. Write and equivalent expression of 102, changing the sign of the

exponent.

Solution.

Numerator

102

1

---- = ----

Denominator

1

10-2

c. Write an expression that changes the sign of the exponential term in 1/106

without changing the value.

Solution.

10-6

1

---- = ---- = 10-6

106

1

d. Write an expression that changes the signs of the exponential without

changing the value.

4.8 X 10-7

----------

1.3 X 104

Solution.

4.8 X 10-7

4.8 X 10-4

---------- = ---------- = 3.7 X 10-11

1.3 X 104

1.3 X 107

To multiply numbers expressed in scientific notation, multiply the digit terms in

the usual way and add the exponents of the exponential terms.

a. Example. Multiply 102 by 103

Solution. In multiplying exponential terms, the exponents of the base ten (10)

are added (the base numbers must be the same), therefore:

102 X 103 = 102+3 = 105

MD0837

1-21

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