The decimal expansion of following numbers will terminate after how many places :
a. 47/2^35^2
b. 359/2×5^4
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Answer:
359/2×5^4 will be the answer
Answered by
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Given :- The decimal expansion of following numbers will terminate after how many places :
a. 47/2³5²
b. 359/2×5⁴
Answer :-
a) 47/(2³ * 5²)
→ Multiply and divide by 5
→ (47 * 5)/(2³ * 5³)
→ 235/(8 * 125)
→ 235/1000
→ 0.235 .
It will terminate after 3 places of decimal .
b) 359/(2 * 5⁴)
multiply and divide by (2³ = 8) ,
→ (359*8)/(2⁴ * 5⁴)
→ 2872/(16 * 625)
→ 2872/10000
→ 0.2872 .
It will terminate after 4 places of decimal .
Learn more :-
(3) निम्न के स्थानीय मान लिखिये-
(अ)43.24
(स)884.20
(ब) 534.34
(द) 178.34
https://brainly.in/question/37666224
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