Express in scientific notation. Choose the answer with the proper number of significant figures.
(3 x 104) (4 x 1023) = _____
1227
12 x 1027
10 x 1027
1 x 1028
12x10^27
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To express the given expression in scientific notation, we need to multiply the coefficients and add the exponents.
Given:
(3 x 10^4) (4 x 10^23)
To multiply the coefficients, we have:
3 x 4 = 12
To add the exponents, we have:
10^4 x 10^23 = 10^(4+23) = 10^27
Therefore, the expression (3 x 10^4) (4 x 10^23) can be expressed in scientific notation as:
12 x 10^27
Since the given expression has two significant figures (3 and 4) and the final answer has two significant figures (12), the answer with the proper number of significant figures is:
12 x 10^27