How do you multiply $10.4 \times 4.6$ $10.4\times 4.6$ ?

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How do you multiply $10.4 \times 4.6$ $10.4\times 4.6$ ?

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Answer 1 · 2017-02-08T15:55:27

$10.4 \times 4.6 = 47.84$ $10.4times4.6=47.84$

Explanation:

First notice

$10.4 \times 4.6 = (\frac{1}{10} \times 104) \times (\frac{1}{10} \times 46)$ $10.4times4.6=(1/10times104)times(1/10times46)$

Then we can group the $\frac{1}{10}$ $1/10$ s together

$(\frac{1}{10} \times 104) \times (\frac{1}{10} \times 46) = (\frac{1}{10} \times \frac{1}{10}) \times (104 \times 46)$ $(1/10times104)times(1/10times46)=(1/10times1/10)times(104times46)$

$= \frac{1}{100} \times (104 \times 46)$ $=1/100times(104times46)$

Since $104 = 100 + 4$ $104=100+4$ then

$\frac{1}{100} \times (104 \times 46) = \frac{1}{100} \times ((100 + 4) \times 46)$ $1/100times(104times46)=1/100times((100+4)times46)$

Then we distribute $46$ $46$

$= \frac{1}{100} \times ((100 \times 46) + (4 \times 46))$ $=1/100times((100times46)+(4times46))$

And multiply

$= \frac{1}{100} \times (4600 + 184) = \frac{1}{100} \times 4784 = 47.84$ $=1/100times(4600+184)=1/100times4784=47.84$

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