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.