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Which one of the following rational numbers has non-terminating and repeating decimal expression?
- a)15/1600
- b)23/8
- c)35/50
- d)17/6
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which one of the following rational numbers has non-terminating and re...
Observing all the options
1. 15/1600 = 0.009375
2. 23/8 = 2.875
3. 35/50 = 0.7
4. 17/6 = 2.8333333……
∴ Here we can see that 17/6 has non-terminating and repeating decimal expression.
1. 15/1600 = 0.009375
2. 23/8 = 2.875
3. 35/50 = 0.7
4. 17/6 = 2.8333333……
∴ Here we can see that 17/6 has non-terminating and repeating decimal expression.
Most Upvoted Answer
Which one of the following rational numbers has non-terminating and re...
To determine which of the given rational numbers has a non-terminating and repeating decimal expression, we need to convert each fraction into decimal form and observe the pattern.
a) 15/1600
To convert 15/1600 into a decimal, we divide 15 by 1600:
15 ÷ 1600 = 0.009375
The decimal terminates after the 5th decimal place, so it is not a non-terminating and repeating decimal.
b) 23/8
To convert 23/8 into a decimal, we divide 23 by 8:
23 ÷ 8 ≈ 2.875
The decimal terminates after the 3rd decimal place, so it is not a non-terminating and repeating decimal.
c) 35/50
To convert 35/50 into a decimal, we divide 35 by 50:
35 ÷ 50 = 0.7
The decimal terminates after the first decimal place, so it is not a non-terminating and repeating decimal.
d) 17/6
To convert 17/6 into a decimal, we divide 17 by 6:
17 ÷ 6 ≈ 2.833333...
The decimal does not terminate but repeats the digit 3 after the decimal point. This pattern of repeating 3s continues infinitely, making it a non-terminating and repeating decimal.
Therefore, the correct answer is option D) 17/6.
a) 15/1600
To convert 15/1600 into a decimal, we divide 15 by 1600:
15 ÷ 1600 = 0.009375
The decimal terminates after the 5th decimal place, so it is not a non-terminating and repeating decimal.
b) 23/8
To convert 23/8 into a decimal, we divide 23 by 8:
23 ÷ 8 ≈ 2.875
The decimal terminates after the 3rd decimal place, so it is not a non-terminating and repeating decimal.
c) 35/50
To convert 35/50 into a decimal, we divide 35 by 50:
35 ÷ 50 = 0.7
The decimal terminates after the first decimal place, so it is not a non-terminating and repeating decimal.
d) 17/6
To convert 17/6 into a decimal, we divide 17 by 6:
17 ÷ 6 ≈ 2.833333...
The decimal does not terminate but repeats the digit 3 after the decimal point. This pattern of repeating 3s continues infinitely, making it a non-terminating and repeating decimal.
Therefore, the correct answer is option D) 17/6.
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Which one of the following rational numbers has non-terminating and repeating decimal expression?a)15/1600b)23/8c)35/50d)17/6Correct answer is option 'D'. Can you explain this answer?
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