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

A. [tex]-\frac{8}{2}[/tex]
B. [tex]-3.75[/tex]
C. [tex]-\frac{11}{4}[/tex]
D. [tex]-2.25[/tex]

Sagot :

GinnyAnsweridn
To determine which of the given rational numbers lie between -3 and -4, we will evaluate each number individually and see where it falls on the number line.

Here are the rational numbers provided:

1. [tex]\( -\frac{8}{2} \)[/tex]
2. [tex]\( -3.75 \)[/tex]
3. [tex]\( -\frac{11}{4} \)[/tex]
4. [tex]\( -2.25 \)[/tex]

Let's evaluate each number:

1. [tex]\( -\frac{8}{2} \)[/tex]:
Simplifying this fraction, we have
[tex]\( -\frac{8}{2} = -4 \)[/tex].
So, [tex]\( -4 \)[/tex] is exactly at -4 and does not lie between -3 and -4.

2. [tex]\( -3.75 \)[/tex]:
This is already in decimal form.
Since [tex]\( -3.75 \)[/tex] is greater than -4 and less than -3, it lies between -3 and -4.

3. [tex]\( -\frac{11}{4} \)[/tex]:
Converting this fraction to a decimal, we have
[tex]\( -\frac{11}{4} = -2.75 \)[/tex].
So, [tex]\( -2.75 \)[/tex] is less than -2.25 and does not lie between -3 and -4.

4. [tex]\( -2.25 \)[/tex]:
This is already in decimal form.
Since [tex]\( -2.25 \)[/tex] is greater than -3, it does not lie between -3 and -4.

Therefore, the rational number that lies between -3 and -4 is:

[tex]\[ -3.75 \][/tex]
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