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Multiplication of numbers expressed in scientific notation |
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  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
1-23. MULTIPLICATION OF NUMBERS EXPRESSED IN SCIENTIFIC NOTATION
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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