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

2 Answers
Oct 14, 2016

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 :)

Oct 14, 2016

-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