How do you evaluate $\frac{1.035 \times 10^{8}}{2.3 \times 10^{4}}$ $(1.035times10^8)/(2.3times10^4)$ ?

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Answer 1 · 2017-05-27T09:10:42

$4500$ $4500$

Attempt to evaluate the expression separately.
$\frac{1.035 \cdot 10^{8}}{2.3 \cdot 10^{4}}$ $(1.035*10^8)/(2.3*10^4)$

is the same as

$\frac{1.035}{2.3} \cdot \frac{10^{8}}{10^{4}}$ $1.035/2.3*10^8/10^4$

Solve the number part first.

$0.45 \cdot \frac{10^{8}}{10^{4}}$ $0.45*10^8/10^4$

Now, dividing a power is the same as subtracting the powers.
I.e. $a^{8} - a^{3} = a^{8 - 3} = a^{5}$ $a^8-a^3=a^(8-3)=a^5$

$therefore 0.45*10^(8-4)$

$0.45*10^4$

$4500$

How do you evaluate (1.035times10^8)/(2.3times10^4)1.035×1082.3×104(1.035times10^8)/(2.3times10^4)?