Question

Select all of the following expressions that are equivalent to 0.25. (0.5)^2 (−0.2)+(−0.05) |−3+2.75| −(−0.25) 2x−1.75x

Answer 1

(0.5)^2 = 0.25 yes
(-0.2)+(-0.05) = -0.25 no
|-3+2.75| = |-0.25| = 0.25 yes
-(-0.25) = 0.25 yes
2x-1.75x = 0.25x no

Answer 2

Option a) , c) and d)

Explanation:

Let us see every option one by one

a) (0.5)^2= 0.5 x 0.5 = 0.25

Hence it is true

b) -0.2+(-0.05)

-0.20-0.05=-0.25 ≠ 0.25

Hence false

c) |-3+2.75|

=|-3.00+2.75|

=|-0.25| = 0.25 as the mode of any negative number is positive

Hence it also true

d) -(-0.25) = 0.25 and negative of any negative integer makes it a positive

Hence it is also true

e) 2x-1.75x

= 0.25x

Here though we have same coefficient but technically it is not a correct answer as we have an x with 0.25. Hence it is false