What is $(9.75 \cdot 10^{3}) \cdot (8.4 \cdot 10^{- 6})$ $(9.75 * 10^3) * (8.4 * 10^-6)$ ?

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Answer 1 · 2015-10-31T16:23:06

$8.19 \cdot 10^{- 2}$ $8.19*10^-2$

$(9.75 \cdot 10^{3}) \cdot (8.4 \cdot 10^{- 6})$ $(9.75 * 10^3)*(8.4 * 10^-6)$

First, let's regroup the factors,

$\Rightarrow (9.75 \cdot 8.4) (10^{3} \cdot 10^{- 6})$ $=> (9.75 * 8.4)(10^3*10^-6)$

We can now proceed with multiplication

$\Rightarrow (81.9) \cdot (10^{- 3})$ $=> (81.9)*(10^-3)$

Now let's transform this to scientific notation.

$\Rightarrow (8.19 \cdot 10) (10^{- 3})$ $=> (8.19 * 10)(10^-3)$

$\Rightarrow 8.19 \cdot (10 \cdot 10^{- 3})$ $=> 8.19*(10*10^-3)$

$\Rightarrow 8.19 \cdot (10^{1} \cdot 10^{- 3})$ $=> 8.19*(10^1*10^-3)$

$\Rightarrow 8.19 \cdot (10^{- 2})$ $=> 8.19*(10^-2)$

What is (9.75⋅103)⋅(8.4⋅10−6)(9.75 * 10^3) * (8.4 * 10^-6)?