How do you estimate $41 \times 58$ $41 times 58$ by rounding?

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How do you estimate $41 \times 58$ $41 times 58$ by rounding?

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Answer 1 · 2016-11-20T09:36:59

$41 \times 58 \approx 40 \times 60 = 2400$ $41xx58 ~~ 40xx60 = 2400$

Explanation:

Rounded to the nearest $10$ $10$ we have:

$41 \approx 40$ $41 ~~ 40$

$58 \approx 60$ $58 ~~ 60$

So:

$41 \times 58 \approx 40 \times 60$ $41 xx 58 ~~ 40 xx 60$

To multiply $40$ $40$ and $60$ $60$ we just need to multiply $4 \times 6$ $4xx6$ then add $2$ $2$ zeros:

$40 \times 60 = (4 \times 10) \times (6 \times 10)$ $40xx60 = (4xx10)xx(6xx10)$

$40 \times 60 = 4 \times 6 \times 10 \times 10$ $color(white)(40xx60) = 4xx6xx10xx10$

$40 \times 60 = 24 \times 100$ $color(white)(40xx60) = 24xx100$

$40 \times 60 = 2400$ $color(white)(40xx60) = 2400$

So

$41 \times 58 \approx 40 \times 60 = 2400$ $41xx58~~40xx60=2400$

Actually:

$41 \times 58 = 2378$ $41xx58 = 2378$

which to the nearest $100$ $100$ is $2400$ $2400$

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How do you estimate $41 \times 58$ $41 times 58$ by rounding?

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