Which rational number could be graphed between –3 and –4?

Question

A number line going from negative 5 to positive 3 in increments of 1.
Negative StartFraction 8 Over 2 EndFraction
–3.75
Negative StartFraction 11 Over 4 EndFraction
–2.25

Answer 1

To identify which rational number could be graphed between –3 and –4, we first need to determine the range of numbers between these two values:

• The number –3 is greater than –4, so we are looking for numbers in the range from –4 (not including) to –3 (not including).

Now we can evaluate the options provided:

1. Negative StartFraction 8 Over 2 EndFraction: This simplifies to –4. Since –4 is not between –3 and –4, this is not the correct answer.

2. –3.75: This is a decimal representation and is indeed between –4 and –3. Thus, this could be a candidate.

3. Negative StartFraction 11 Over 4 EndFraction: This is equal to –2.75 (since –11/4 = –2.75). This number is not between –4 and –3, so it's not the correct answer.

4. –2.25: This number is greater than –3, so it is also not between –4 and –3.

The only number that fits within the range of –3 and –4 is:

–3.75