Question

7/80 ਦਾ ਦਸ਼ਮਲਵ ਨਿਰੂਪਣ ਕਿੰਨੇ ਅੰਕ ਤੇ ਸਮਾਪਤ ਹੋਵੇਗਾ ?​

Answer 1

Answer:

Step-by-step explanation:

ਜੇਕਰ ਪ੍ਰੇਖਣ 19, 24, 27, 28, X+2, 35, 38, 42, 43 ਵੱਧਦੇ ਕ੍ਰਮ ਵਿੱਚ ਹੋਣ ਅਤੇ ਇਹਨਾਂ ਦੀ ਮੱਧਿਕਾ 31 ਹੈ ਤਾਂ X ਦਾ ਮੁੱਲ ਕੀ ਹੈ

Answer 2

Given :- 7/80 ਦਾ ਦਸ਼ਮਲਵ ਨਿਰੂਪਣ ਕਿੰਨੇ ਅੰਕ ਤੇ ਸਮਾਪਤ ਹੋਵੇਗਾ ? The decimal expansion of 7/80 will terminate after how many decimal places ?

Solution :-

finding prime factors of denominators of 7/80 we get,

→ 80 = 2 * 2 * 2 * 2 * 5

→ 80 = 2⁴ * 5

so,

$\sf \: (\frac{7}{{2}^{4} \times\:5}) \times \frac{ {5}^{3} }{ {5}^{3} }=\frac{7 \times 125}{16 \times 625}\\\frac{875}{10000} = 0.0875 \: \:$

therefore, we can conclude that, the decimal expansion of given rational number is 0.0875 and it will terminate after four decimal places.

Method 2) :-

prime factors of denominators are ,

→ 80 = 2⁴ * 5¹ = 2^m * 5^n

• when m > n , the decimal expansion will terminate after m places .
• when m < n , the decimal expansion will terminate after n places .

since,

→ m > n

→ 4 > 1

therefore, the decimal expansion of given rational number will terminate after four decimal places .

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