How do you work out $(3.2 \times 10^{5}) \times (4.5 \times 10^{4})$ $(3.2times10^5)times(4.5times10^4)$ ?

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How do you work out $(3.2 \times 10^{5}) \times (4.5 \times 10^{4})$ $(3.2times10^5)times(4.5times10^4)$ ?

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Answer 1 · 2017-01-03T01:46:31

You multiply the numbers and add the 10-powers

Explanation:

$= (3.2 \times 4.5) \times (10^{5} \times 10^{4})$ $=(3.2xx4.5)xx(10^5xx10^4)$
$= 14.4 \times 10^{5 + 4} = 14.4 \times 10^{9}$ $=14.4xx10^(5+4)=14.4xx10^9$

Since we want only one non-zero digit in front of the decimal point:
$= 1.44 \times 10 \times 10^{9} = 1.44 \times 10^{10}$ $=1.44xx10xx10^9=1.44xx10^10$

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How do you work out $(3.2 \times 10^{5}) \times (4.5 \times 10^{4})$ $(3.2times10^5)times(4.5times10^4)$ ?

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How do you work out $(3.2 \times 10^{5}) \times (4.5 \times 10^{4})$ $(3.2times10^5)times(4.5times10^4)$ ?