Question

hai help with ur knowledge by answering my question

Answer 1

$\frac{3}{25} is \: terminating \: as \: denominator \: is \: 5 {}^{2} \times 2 {}^{0} \\ \frac{11}{18} is \:not \: terminating \: as \: denominator \: is \: 2 \times {3}^{2} \\ \frac{13}{20} is \: terminating \: as \: denominator \: is \: {2}^{2} \times 5 \\ \frac{41}{42} is \:not \: terminating \: as \: denominator \: is \: 2 \times 3 \times 7$

Answer 2

Without actually dividing we can find whether a number is terminating or non terminating.

If the denominator of a number is 2 or 5. Than it is said to be terminating decimal.

If a number has other than 2 or 5. Than it is said to be non terminating decimal.


Terminating decimal:

If a number has finite number of digits in the decimal part than it is said to be terminating decimal.

Non-terminating decimal :

If a number has infinite number of the digits in the decimal part than it is said to be non terminating decimal.



i) 3/25 = 3/5×5 = 3/5^2.

The denominator of the number is 5. so it is a terminating decimal.

ii) 11/18

The denominator of the number is not 2 or 5. so it is a non-terminating decimal.

iii) 13/20 = 13/2^2×5.

The denominator of the number is 2 and 5.so it is a terminating decimal.

iv) 41/42 = 41/2×3×7.

The denominator of the number is 2,3, and 7. so it is a non-terminating decimal.