Question

Without actual division,
state whether the following
numbers have the terminating
decimal representation. Explain
your answer
i) 13/4
ii)7/125
iii)-9/30​

Answer 1

Answer:

1. 3.25-no
2. 0.056-no
3. -0.03-no

Answer 2

Answer:

Any integer whose denominator can be written in the form2^m and 5^n where n and m are non- negative integers have terminating decimal form.

(i)13/4 = 13 / 2^3 non terminating

( as 5 is missing)

(ii)7/125 = 7/5^3 non terminating

(as 2 is missing)

(iii)-9/30 =-9/2×3×5 terminating

(as it has both 2 and 5)

Note that there may be any other numbers along with 2 and 5 as in (iii) but still the integer will have terminating decimal expansion.

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