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maxonik [38]
3 years ago
6

After how many places the decimal expansion of 13/40 will terminate?

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Remember that 40 = 2\cdot 2\cdot 10.

So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

So, we can go like this: let's divide by 10 first

13 \div 10 = 1.3

Then, we divide by 2:

1.3 \div 2 = 0.65

And by 2 again:

0.65 \div 2 = 0.325

So, the decimal expansion ends after 3 digits.

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Ok, so first substitute x for 4 in

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