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Which is the correct descending order of −2, 4/−5, −11/20, 3/4?
- a)3/4 > −2 > −11/20 > 4/−5
- b)3/4 > −11/20 > −4/5 > −2
- c)3/4 > 4/−5 > −2 > −11/20
- d)3/4 > 4/−5 >−11/20 > −2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which is the correct descending order of−2, 4/−5, −1...
L.C.M. of 5, 4 and 20 is 20.
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.
Most Upvoted Answer
Which is the correct descending order of−2, 4/−5, −1...
Understanding the Numbers
To determine the correct descending order, we first convert all numbers to decimal form for easy comparison.
Converting to Decimals:
- -2: This stays as -2.
- 4/-5: This equals -0.8.
- -11/20: This equals -0.55 (since 11 divided by 20 is 0.55).
- 3/4: This equals 0.75 (since 3 divided by 4 is 0.75).
List of Numbers in Decimal Form:
- -2 = -2.00
- 4/-5 = -0.80
- -11/20 = -0.55
- 3/4 = 0.75
Comparing the Values:
To arrange these numbers in descending order (from the largest to the smallest):
1. 3/4 (0.75): The largest value.
2. -11/20 (-0.55): Larger than -0.8 but smaller than 0.75.
3. 4/-5 (-0.8): Smaller than -0.55.
4. -2: The smallest value.
Correct Descending Order:
Thus, the correct order from largest to smallest is:
3/4 > -11/20 > 4/-5 > -2
This corresponds to option B:
3/4 > -11/20 > 4/-5 > -2.
Conclusion:
Understanding how to convert fractions to decimals helps in comparing numbers effectively. This is essential in determining their order accurately.
To determine the correct descending order, we first convert all numbers to decimal form for easy comparison.
Converting to Decimals:
- -2: This stays as -2.
- 4/-5: This equals -0.8.
- -11/20: This equals -0.55 (since 11 divided by 20 is 0.55).
- 3/4: This equals 0.75 (since 3 divided by 4 is 0.75).
List of Numbers in Decimal Form:
- -2 = -2.00
- 4/-5 = -0.80
- -11/20 = -0.55
- 3/4 = 0.75
Comparing the Values:
To arrange these numbers in descending order (from the largest to the smallest):
1. 3/4 (0.75): The largest value.
2. -11/20 (-0.55): Larger than -0.8 but smaller than 0.75.
3. 4/-5 (-0.8): Smaller than -0.55.
4. -2: The smallest value.
Correct Descending Order:
Thus, the correct order from largest to smallest is:
3/4 > -11/20 > 4/-5 > -2
This corresponds to option B:
3/4 > -11/20 > 4/-5 > -2.
Conclusion:
Understanding how to convert fractions to decimals helps in comparing numbers effectively. This is essential in determining their order accurately.
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Which is the correct descending order of−2, 4/−5, −11/20, 3/4?a)3/4 > −2 > −11/20 > 4/−5b)3/4 > −11/20 > −4/5 > −2c)3/4 > 4/−5 > −2 > −11/20d)3/4 > 4/−5 >−11/20 > −2Correct answer is option 'B'. Can you explain this answer?
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