Q.1 Without actually performing the long
division state whether the following rational
numbers will have a terminating decimal
expansion or non-terminating repeating
decimal expansion:
i. 7/20
ii. 42,100
iv. 13/125
V. 27/40
Answers
Answer:
all have terminating decimal expansion
Step-by-step explanation:
1. 7/20
denominator can be written as 2×2×5
hence it has terminating decimal expansion
2. 42/100
it can be written as 0.42
so terminating expansion
3. 13/125
denominator 125 can be written as 5×5×5
so it also has terminating decimal expansion
4.27/40
denominator can be written as 2×2×2×5
so it also has terminating decimal expansion...
PLZ MARK ME THE BRAINLIEST
Answer:
if the denominator of the fraction is of type 2^n×5^n or either one of them, then the fraction has terminating decimal
1. 7/20
=> 7/ 4×5
=> 7/2^2 × 5^1
=> terminating decimal expansion
2. 42/100
=> 42/25×4 = 42/5^2 × 2^2
=> terminating decimal expansion
3. 13/125 = 13/5^3
=> terminating decimal expansion
4. 27/40 = 27/2^3 × 5^1
=> terminating decimal expansion