1. Comparing and Ordering Rational Numbers A PowerPoint for Ms Purcell’s 6th Grade.
MCC6.NS.7.a
MCC6.NS.7.b
MCC6.NS.7.d

2. All rational numbers can be located on a number line
All rational numbers can be located on a number line. We can use a number line to compare and order rational numbers. To compare rational numbers, we use the > (greater than) and < (less than) or = (equal to) symbols. The expression a > b means that a is to the right of b on the number line. The expression a < b means that a is the left of b on the number line.

3. Example 1:
Order the following numbers from greatest to least. Plot them on the number line.
7, -3, 5, -5, 10, -10, 4, 0

4. Which symbol makes this sentence true? Use >, <, or = 3 ½ 3 ¼
Example 2:
Which symbol makes this sentence true?
Use >, <, or =
3 ½ ¼
Step 1: Compare the whole-number parts.
Step 2: Find a common denominator for the fraction parts.
Step 3: Rewrite the fractions with a common denominator.
Step 4: Compare the fractions.

5. Which symbol makes this sentence true? Use >, <, or =
Example 3:
Which symbol makes this sentence true?
Use >, <, or =
Step 1: Align the numbers on the decimal point. Compare from left to right. (Remember the number of decimal places does not affect whether a decimal is greater or less than another decimal.
Step 2: Compare the tens place.
Step 3: Compare the ones place.
Step 4: Compare the tenths.