Here are the answers. What is the pattern?
(3.45 X 1010)2 = (3.45 X 3.45) X (1010 X 1010) = (11.9) X (1020) = 1.19 X 1021
(4 X 10-5)2 = (4 X 4) X (10-5 X 10-5) = (16) X (10-10) = 1.6 X 10-9
(9.81 X 1021)2 = (9.81 X 9.81) X (1021 X 1021) = (96.24) X (1042) =
9.624 X 1043
The procedure for squaring a number in scientific notation is as follows:
Take the coefficient times itself. This will be the new coefficient.
Multiply the exponent by two. This will be the new exponent.
Put the number in standard form.
Given this procedure, what do you think the procedure is for higher powers? Test your theory with
(3 X 104)3
Now check your answer and your theory.
Questions? Ask the designer, Jim Heath
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