Question

Which of the following is a list of equivalent numbers?

a) 1.25, 1 1/4, 12.5%

b) 0.125, 1/4, 125%

c) 12.5, 12 1/2, 125%

d) 1.25, 1 1/4, 125%

Answer 1

That's choice d. Let's go through them

a) 1.25, 1 1/4, 12.5%

1.25 = 1 1/4, but 12.5%=0.125

b) 0.125, 1/4, 125%

125%=1.25, not equal to the other two

c) 12.5, 12 1/2, 125%

125%=1.25 not 12.5

d) 1.25, 1 1/4, 125%

Yes, those are all 5/4

Answer: d

Answer 2

Let's break down each of the options:

a) 1.25, 1 1/4, 12.5%
1.25 is a decimal.
When we convert 1 1/4 as a decimal, it becomes 1.25.
However, 12.5% as a decimal is 0.125.
So, the numbers in this list are not equivalent.

b) 0.125, 1/4, 125%
0.125 is a decimal.
1/4 as a decimal gives us 0.25, which is different from 0.125.
125% as a decimal is 1.25.
The numbers in this list are not equivalent.

c) 12.5, 12 1/2, 125%
12.5 is a decimal.
12 1/2 as a decimal becomes 12.5.
However, 125% as a decimal is 1.25.
The numbers in this list are not equivalent.

d) 1.25, 1 1/4, 125%
1.25 is a decimal.
When we convert 1 1/4 into a decimal, we also get 1.25.
To express 125% as a decimal, we divide by 100, which also gives us 1.25.
All the three numbers in this list are equivalent.

So, the list with equivalent numbers is

Answer:d) 1.25, 1 1/4, 125%.