Question

Classify each of these sentences as true (V) or (F) and find an answer below:

I. The decimal representation of the inverse of -5/4 is -0.8 (^)
II. The operation (-8.9) - (-4.3) = +4.6 (^)
III. The fractional representation of -3.4 is -17/5 (^)
IV. The opposite of -3/8 is +3/8 (^)
Options:
A) VFFF
B) FVFF
C) FFFV
D) FFVF

Answer 1

After evaluating each statement, it was determined that the correct sequence should be VFTV. However, this sequence does not match any of the given options, suggesting there may be an error in the provided choices.

Step-by-step explanation:

Let's classify each statement as true (V) or false (F) one by one:

1. The decimal representation of the inverse of -5/4 is -0.8. To find the inverse of a fraction, we flip the numerator and denominator. The inverse of -5/4 is -4/5, which equals -0.8. So, this statement is true (V).
2. The operation (-8.9) - (-4.3) = +4.6. To subtract a negative number is the same as adding its positive equivalent, (-8.9) + 4.3 = -4.6, not +4.6. So, this statement is false (F).
3. The fractional representation of -3.4 is -17/5. To convert a decimal to a fraction, -3.4 can be expressed as -34/10, which simplifies to -17/5. This statement is true (V).
4. The opposite of -3/8 is +3/8. The opposite of a number is its sign changed, so the opposite of -3/8 is indeed +3/8. This statement is true (V).

From the analysis above, the correct combination of true or false statements is VFTV, which is not an option provided. There seems to be an error in the options given.