Question

Which of the following shows the correct order of the numbers below?

(1/2)^2, 2/3 , 0.45

a.) (1/2)^2 < 0.45 < 2/3
b.) (1/2)^2 < 2/3 < 0.45
c.) 0.45 < (1/2)^2 < 2/3

Answer 1

Explanation:

a)

Answer 2

Answer: a.
`((1)/(2))^2<0.45<(2)/(3)`

Explanation:

Given numbers:
`((1)/(2))^2,(2)/(3),0.45`

Simplify them in like decimals .

`((1)/(2))^2=(1)/(4)=0.25`

`(2)/(3)=0.6666\approx0.66`

Clearly we can see
`0.25<0.66<0.45` which is equivalent to

`((1)/(2))^2<0.45<(2)/(3)`

Therefore the correct order of the numbers is
`((1)/(2))^2<0.45<(2)/(3)`