Question:
Select all of the following expressions that are equivalent to 0.25.
(A) |–3 + 2.75|
(B) 2x – 1.75x
(C) [tex](0.5)^2[/tex]
(D) (–0.2) + (–0.05)
(E) –(–0.25)
Answer:
The equivalent expressions are |–3 + 2.75| , [tex](0.5)^2[/tex] and –(–0.25).
Solution:
Option A: |–3 + 2.75|
|–3 + 2.75| = |–0.25| = 0.25
We know that absolute value of a negative number is a positive value.
It is equivalent expression.
Option B: 2x – 1.75x
2x – 1.75x = 0.25x
The variable x is here. so it is not the equivalent expression.
Option C: [tex](0.5)^2[/tex]
[tex](0.5)^2=0.5\times 0.5=0.25[/tex]
It is equivalent expression.
Option D: (–0.2) + (–0.05)
(–0.2) + (–0.05) = –0.2 –0.05 = –0.25
Here it is a negative value. so it is not the equivalent expression.
Option E: –(–0.25)
–(–0.25) = 0.25
Negative of a negative number is positive number.
It is equivalent expression.
Hence, the equivalent expressions for 0.25 are
|–3 + 2.75| , [tex](0.5)^2[/tex] and –(–0.25).