Question

without actual division find the decimal expansion and after how many decimal place the following rational number will terminate 7/100​

Answer 1

Answer:

0.07

Step-by-step explanation:

the decimal expansion of 7/100 is 0.07

Answer 2

$\huge{\blue{Answer}}$

Given :-

$\frac{7}{100}$

To find :-

Without actual division find the decimal expansion and after how many decimal place the following rational number will terminate 7/100.

Concept used :-

To know that the number is terminating or non- termination.

The format is -

${2}^{n} \times {5}^{m}$

Solution :-

1. Fond the Lcm of the denominator 100 = 2×2×5×5
2. So here we get
3. ${2}^{2} \times {5}^{2}$
4. Hence it is terminating.

The value of 7/100 is 0.07.