Math, asked by devarshinandeshwar3, 9 months ago

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

Answered by smrutisubhasmita2005
1

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...

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Answered by biligiri
0

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

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