Let's analyze each question one by one.
Question 1: Determine which choice is NOT equal to the others.
- A: \(-[[2/5]]−[[2/5]] = -2[[2/5]] = -2 \cdot \frac{2}{5} = -\frac{4}{5}\)
- B: \([[−2/5]][[−2/5]] = \left(-\frac{2}{5}\right)\left(-\frac{2}{5}\right) = \frac{4}{25}\)
- C: \([[2/5]][[2/5]] = \left(\frac{2}{5}\right)\left(\frac{2}{5}\right) = \frac{4}{25}\)
- D: \([[2/−5]][[2/−5]] = \left(\frac{2}{-5}\right)\left(\frac{2}{-5}\right) = \frac{4}{25}\)
Choices C and D are equal, as both are the product of the same fractions but with different signs. Choice B matches both C and D. However, choice A results in \(-\frac{4}{5}\), which is different.
Thus, the answer is A.
Question 2: Find another way to write the expression.
Given:
- Choices are:
- A: \([[7/8]].[[7/8]].\)
- B: \(-[[7/8]].−[[7/8]].\)
- C: \(-[[7/−8]].−[[7/−8]].\)
We look for different representations of the initial expression. The option that maintains the properties of multiplication without changing the signs would be A, as it maintains positive multiplication.
As the expression with negatives \(−[[7/8]]\) leads to negatives, it would either not match the original expression of two multiplied values or would not yield \(7/8\) as the final multiplication.
Thus, the answer is A.
Question 3: In the example, Francine was able to cut ___ strips.
Without context, we cannot determine the exact answer because the information provided does not give us enough to work from. Hence, we would need to consider more details from the example provided initially.
Assuming the choices provide a reasonable context, you could select based on typical problem numbers, but a guess would be inadequate without knowing what Francine was cutting or the initial amounts provided.
Based on example typical informatics, if you need to select a guess without context, you might lean toward 66 or 99 as common practical outputs, but an informed answer really requires the context of the example.
I apologize for being unable to provide a definitive answer without context, but the response cannot be determined based purely on the given multiple-choice options.