1. Comparing and Ordering Rational Numbers
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2. Warm Up Identify all sets to which each number belongs. 1). 𝟕 𝟖2)
Warm Up
Identify all sets to which each number belongs.
1). 𝟕 𝟖
2). -45 3)
4). 𝟐𝟖 𝟏𝟒
5). Simplify the following fraction: 𝟑𝟓 𝟏𝟎𝟎
Rational number
Rational number, integer
Rational number
Rational number, integer, whole number
𝟕 𝟐𝟎

3. Comparing and Ordering Rational Numbers
Flippable
Comparing and Ordering Rational Numbers
Comparing Fractions
Comparing Decimals

4. Comparing and Ordering Fractions
Method 1
Find the common denominator and compare the numerators.
Which number is the smallest 𝟑 𝟒 or 𝟗 𝟏𝟎 ?
𝟑 𝟒 = 𝟏𝟓 𝟐𝟎 𝟗 𝟏𝟎 = 𝟏𝟖 𝟐𝟎
𝟏𝟓 𝟐𝟎 < 𝟏𝟖 𝟐𝟎 𝟑 𝟒 < 𝟗 𝟏𝟎

5. 𝟑 𝟒 𝟗 𝟏𝟎 𝟑 𝟒 < 𝟗 𝟏𝟎 𝟐 𝟑 = 𝟒 𝟔 Method 2 𝟐 𝟑 𝟒 𝟔 Cross Multiply
Example 1:
𝟑 𝟒 𝟗 𝟏𝟎
Example 2:
𝟐 𝟑 𝟒 𝟔
This number is larger so 9/10 is larger. 30 36
𝟑 𝟒 < 𝟗 𝟏𝟎
Both products are the same so they are equal.
𝟐 𝟑 = 𝟒 𝟔 12 12

6. Order from least to greatest. 7). 𝟏 𝟐 , 𝟐 𝟑 , 𝟓 𝟔 8). 𝟑 𝟖 , 𝟑 𝟒 , 𝟐 𝟑
Practice
Replace with >, <, or =.
1). 𝟓 𝟏𝟐 ____ 𝟕 𝟏𝟐 ). 𝟓 𝟔 _____ 𝟕 𝟏𝟎
3). 𝟓 𝟔 ___ 𝟑 𝟓 ). 𝟐 𝟑 ____ 𝟓 𝟖
5). 𝟏 𝟑 ____ 𝟏𝟐 𝟑𝟔 ). 𝟒 𝟓 ____ 𝟐 𝟑
Order from least to greatest.
7). 𝟏 𝟐 , 𝟐 𝟑 , 𝟓 𝟔
8). 𝟑 𝟖 , 𝟑 𝟒 , 𝟐 𝟑
<
>
>
> =
>
½, 2/3, 5/6
3/8, 2/3, 3/4

7. Comparing and Ordering Decimals
To compare decimals, line up the decimal points and compare the digits from left to right until you find different digits.
Example: ___ 0.724
the first digit that is different is 6 and >4
>
Practice
Use < , > or = to compare.
1) _____ ) ____
3) _____ ) ____
<
<
> =

8. Closure
Determine whether the following statement is true or false. Explain your reasoning.
A rational number is always an integer.
False, 𝟑 𝟓 is not a rational number.