SOLUTION: Express the number in normalized scientific notation:
123.4 x 102
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Question 875483: Express the number in normalized scientific notation:
123.4 x 102
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i'm assuming you mean:
123.4 * 10^2
the normalized form would be 1.234 * 10 raised to an exponent.
in order to make 1.234 equivalent to 123.4, you have to multiply it by 100.
you get 1.234 * 100 = 123.4
since 100 = 10^2, you get:
1.234 * 10^2 = 123.4
your original expression is 123.4 * 10^2
replace 123.4 with 1.234 * 10^2 to get:
1.234 * 10^2 * 10^2
10^2 * 10^2 = 10^(2+2) = 10^4
your final expression is 1.234 * 10^4
1.234 * 10^4 is equivalent to 123.4 * 10^2
use your calculator to confirm.
i got:
1.234 * 10^4 = 12340
123.4 * 10^2 = 12340
they are the same.
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