Match the expressions with their equivalent values:

a. [tex]$-24$[/tex]
b. -12 [tex]$\quad$[/tex] [tex]$-24$[/tex]
c. 5 [tex]$\quad$[/tex] [tex]$-(-5)$[/tex]
d. [tex]$-7$[/tex]
e. -1.5 [tex]$\quad$[/tex] [tex]$\frac{-3}{2}$[/tex]
f. [tex]$\frac{-4}{5}$[/tex] [tex]$\quad$[/tex] [tex]$\frac{-5}{4}$[/tex]



Answer :

Let's go through the given expressions step-by-step to verify their values:

1. Expression c: [tex]\(-24\)[/tex] and [tex]\(-12\)[/tex]
[tex]\[ -24 = -24 \][/tex]
[tex]\[ -12 = -12 \][/tex]
Therefore, the pair is [tex]\((-24, -12)\)[/tex].

2. Expression d: [tex]\( 5 \)[/tex] and [tex]\( -(-5) \)[/tex]
[tex]\[ 5 = 5 \][/tex]
Note that the double negative of -5 is:
[tex]\[ -(-5) = 5 \][/tex]
Therefore, the pair is [tex]\((5, 5)\)[/tex].

3. Expression g: [tex]\( -1.5 \)[/tex] and [tex]\( \frac{-3}{2} \)[/tex]
[tex]\[ -1.5 = -1.5 \][/tex]
[tex]\[ \frac{-3}{2} = -1.5 \][/tex]
Therefore, the pair is [tex]\((-1.5, -1.5)\)[/tex].

4. Expression h: [tex]\( \frac{-4}{5} \)[/tex] and [tex]\( \frac{-5}{4} \)[/tex]
[tex]\[ \frac{-4}{5} = -0.8 \][/tex]
[tex]\[ \frac{-5}{4} = -1.25 \][/tex]
Therefore, the pair is [tex]\((-0.8, -1.25)\)[/tex].

Combining all these evaluated pairs, we get:

[tex]\[ ((-24, -12), (5, 5), (-1.5, -1.5), (-0.8, -1.25)) \][/tex]