Mariyah had to solve the following question; "Compare the following integers and explain your reasoning- |-6.25| [] −6520" Mariyah said, "I believe −6520 is greater than |-6.25|because those two lines around -6.25 represent absolute value and the absolute value is -6.25 because that is the distance -6.25 is away from zero. Also −6520 has a five in the numerator which is greater than the 2 in tenths place so −6520 is greater." Explain the error in Mariyah's reasoning and solve the question. Explain your reasoning.
Answers
Given : Mariyah had to solve the following question; "Compare the following integers |-6.25| [] −6 5/20
To find : Explain the error in Mariyah's reasoning and solve the question
Solution:
error in Mariyah's reasoning
absolute value is -6.25 and distance -6.25 is away from zero.
Absolute value is always with out sign and distance is always positive and sign is used just to show direction .
Another error
five in the numerator which is greater than the 2 in tenths place
for comparing numerator Denominator should be equal
Also Comparing -ve numbers number with smaller absolute value is greater.
| -6.25| = 6.25
- 6 5/20 = - 6.25
6.25 > - 6.25
=> | - 6.25 | > - 6 5/20
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