1. Comparing and Ordering
Rational Numbers

2. Warm Up
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4. ***Remember the following!*****
Negative numbers are ALWAYS less than positive numbers!
The larger a negative number is, the SMALLER its VALUE!
-9 is LESS than -1
Always look at the signs of the two numbers you are comparing!
If you are comparing a positive and a negative, the positive is ALWAYS greater!
If they have the same signs:
If they are both positive—the larger number is greater
If they are both negative—the one with the larger number is the SMALLER number!

5. Positive and negative rational numbers can be represented on a number line.
You can use a number line to help you compare and order rational numbers.
To compare and order rational numbers, first write them in the SAME form. (make them all decimals or fractions)

6. Comparing Rational Numbers
Examples
-0.75
-0.5
-0.25
Fill in each blank with < , > or =.
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8. Order the following from least to greatest:
2.3, 2 4/5, 2.6
0.5, 3/16, , 5/48
0.5, 1/5, , 12/25, 4/5
¾, -7/10, -3/4, 8/10
-3/8, 5/16, , 2/4

9. Compare the following:
1. –8.6_____– – 7.3_____ −3/7 _____−2/7
4. −3/11 _____−8/ –5.95_____– –12.32_____–12
7. −3/4 _____−1/ −4/9 _____−5/ –1.5_____−5/2

10. Order the following from greatest to least:
-2.3, /5,
-0.6, -5/8, -7/12,
1.45, 1 ½, 1 1/3, 1.2
-0.3, 0.5, ,
0.75, ½, 0.4, 1/5