How do you multiply $(2 x 10^{4}) (4.1 x 10^{3})$ $(2 x 10^4)(4.1 x 10^3)$ ?

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How do you multiply $(2 x 10^{4}) (4.1 x 10^{3})$ $(2 x 10^4)(4.1 x 10^3)$ ?

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Answer 1 · 2015-04-11T19:40:54

Remember the associative rule that allows us to rearrange the order of terms in a multiplication: $a \times b \times c \times d = a \times c \times b \times d$ $axxbxxcxxd = axxcxxbxxd$

and the product rule for exponents:
$b^{p} \times b^{q} = b^{p + q}$ $b^p xx b^q = b^(p+q)$

So
$(2 \times 10^{4}) (4.1 \times 10^{3})$ $(2xx10^4)(4.1xx10^3)$

$= (2 \times 4.1) \times (10^{4} \times 10^{3})$ $=(2xx4.1) xx (10^4xx10^3)$

$= 8, 2 \times 10^{7}$ $= 8,2 xx 10^7$

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How do you multiply $(2 x 10^{4}) (4.1 x 10^{3})$ $(2 x 10^4)(4.1 x 10^3)$ ?

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