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Dividing Integers and Rationals
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Question 1
Which choice is NOT equal to the others?
Responses
A −[[2/5]]−[[2/5]]
B [[−2/5]][[−2/5]]
C [[2/5]][[2/5]]
D [[2/−5]][[2/−5]]
Question 2
Another way to write -7/8 is?
Responses
A [[7/8]].[[7/8]].
B −[[7/8]].−[[7/8]].
C −[[7/−8]].−[[7/−8]].
Question 3
In the example, Francine was able to cut ___ strips.
Responses
A 66
B 99
C 12

1 answer

Let's take a look at your questions one by one:

Question 1

Which choice is NOT equal to the others?

  • A: −[[2/5]]−[[2/5]]
  • B: [[−2/5]][[−2/5]]
  • C: [[2/5]][[2/5]]
  • D: [[2/−5]][[2/−5]]

Analysis:

  • A simplifies to -2 * (2/5) = -4/5.
  • B simplifies to (−2/5) * (−2/5) = (4/25).
  • C simplifies to (2/5) * (2/5) = (4/25).
  • D simplifies to (2/−5) * (2/−5) = (4/25).

Conclusion: The answer is A: −[[2/5]]−[[2/5]] because it equals -4/5, while the others are positive.

Question 2

Another way to write -7/8 is?

  • A: [[7/8]].[[7/8]].
  • B: −[[7/8]].−[[7/8]].
  • C: −[[7/−8]].−[[7/−8]].

Analysis:

  • A is simply the positive representation of 7/8, not equivalent to -7/8.
  • B, which is -7/8 times -1 results in positive, so it's incorrect too.
  • C: -7/−8 simplifies to 7/8, therefore it can't represent -7/8.

Conclusion: The correct choice that would represent -7/8 would be B: −[[7/8]].−[[7/8]].

Question 3

In the example, Francine was able to cut ___ strips.

  • A: 66
  • B: 99
  • C: 12

Analysis: Without the context of the problem, it is difficult to determine which of the options is correct. If it is possible to provide more details from the example or context of the problem Francine is working on, then a more accurate answer can be given.

Conclusion: Unable to conclude without additional context. Please provide further details on the problem scenario.

If you need help with anything else, feel free to ask!

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