Question

Use the number line to compare the numbers -1/2 , -1 9/10, 3/5, 0.4

which choice lists the numbers in increasing order?

A. -1/2, -1 9/10, 3/5 , 0.4

B. -1 9/10, 3/5, - 1/2, 0.4

C. -1 9/10, - 1/2, 0.4, 3/5

D. -1 9/10, - 1/2, 3/5, 0.4

Answer 1

C. -1 9/10, -1/2, 0.4, 3/5

Explanation:

Using a number line, we can see that negative numbers are to the left of '0' and positive numbers are to the right of '0'. To compare numbers for increasing order, we would start with the lowest number to the farthest left on the number line to the greatest number to the farthest right. Placing the following numbers on the number line, the furthest to the left is -1 9/10, then -1/2, followed by 0.4 and then the greatest, 3/5. You can also compare by converting them all into decimals:

-1 9/10 = -1.9

-1/2 = -0.5

0.4 = 0.4

3/5 = 0.6