Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

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]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.