Question

How do you order these numbers from least to greatest: `-2, 0.75, 1/4, -3/2`?

Answer 1

The order from the least to the greatest number is `-2,-3/2,1/4,0.75`

Explanation:

`0.75=75/100=3/4` if you divide both `75` and `100` by `25`, you find `3/4`

`1/4=0.25`

`-3/2=-1.5`

and you also have `-2`

Positive numbers are greater than negative numbers.

For positive numbers, you know that `2` is greater than `1`, so the same thing apply for `0.75` and `0.25` (if the point zero in front bothers you, try to look at them as `75` and `25`)

`=>0.75` is greater than `0.25`

For negative numbers, it is the opposite `-2` is smaller than `-1`, which means `-2` is smaller than `-1.5` or `-1.5` is bigger than `-2`

Now, put back `-1.5` and `0.25` in the fractional form they gave you, which means `-3/2` and `1/4` respectively.

So, the order from the least to the greatest number is `-2,-3/2,1/4,0.75`

Let me know if you have any question

I hope this helps :)

Answer 2

`-2 < -3/2 < 1/4 < 0.75`

Explanation:

Before you can compare any numbers, they need to be in the same format. Decimals is the easiest form to use for comparing.

`-2 = -2.000`

`0.75 = 0.75`

`1/4 = 0.25`

`-3/2 = -1.50`

Now we can arrange them:

`-2 < -1.5 < 0.25 < 0.75`

Using the original numbers gives us:

`-2 < -3/2 < 1/4 < 0.75`