We are asked to order the given numbers from least to greatest.
1.25, -3/2, -1.25, 1 12
It is usually easiest to compare numbers when they are written in the same format, so our first step will be to write each number as a mixed number.
Number
Write as a Sum or Difference
Simplify Quotient
Write as Mixed Number
1.25
1+25/100
1+1/4
1 14
-3/2
-2/2-1/2
-1-1/2
-1 12
-1.25
-1-25/100
-1-1/4
-1 14
1 12
—
—
1 12
Now we can start adding the numbers to the given number line. Notice that this line is divided into fourths.
The first number we will write on the number line is 1.25, which we know is equal to 1 14. It will be placed 1 and one-fourth to the right of 0. We can also think about this as putting the circle one marked unit to the right of 1 because each marked unit represents 14.
Next let's write - 32, which is equal to -1 12. This is a negative number, so it will be located to the left of 0.
The next number, -1.25 or -1 14, is also negative. It is 1 and one-fourth to the left of 0.
The last number that we will plot is 1 12.
Finally, we can order the numbers from least to greatest. The least number is - 32 because it is the farthest to the left. The greatest number is 1 12 because it is the farthest to the right.
-3/2< -1.25< 1.25< 1 12
