colexie4778 colexie4778
  • 10-10-2018
  • Mathematics
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After how many places the decimal expansion of 13/40 will terminate?

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Аноним Аноним
  • 10-10-2018

Remember that [tex] 40 = 2\cdot 2\cdot 10 [/tex].

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

[tex] 13 \div 10 = 1.3 [/tex]

Then, we divide by 2:

[tex] 1.3 \div 2 = 0.65 [/tex]

And by 2 again:

[tex] 0.65 \div 2 = 0.325 [/tex]

So, the decimal expansion ends after 3 digits.

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