Name: ____________________________
Date: __________________
Lesson
1.9:
Day
9: Adding and Subtracting
Rational Numbers
Entrance Task:
Notes: (Objective: Students will add and subtract rational numbers.)
What are Rational Numbers:
Denominator:
Numerator:
Rules for Adding:
Rules for Subtracting:
Same Signs:
Different Signs:
41
Addition and Subtraction of Fractions with Common Denominators:
12.
1
+
12
5
5
2.
12
7
3. + (− )
8
8
11
12
−
5
12
8
7
9
9
4. − −
Addition and Subtraction of Fractions with Unlike Denominators:
5.
7.
2
3
2
3
+
−
1
4
3
8
6.
5
6
8.−
−
2
1
4
5
+ (− )
5
6
Mixed Numbers to Improper Fractions and Vice Versa:
What is a mixed number?
What is an improper fraction?
42
Change the following mixed numbers to improper fractions:
2
1
9.) 3 3
3
10.) 2 8
11.) 4 5
Change the following improper fractions to mixed numbers.
12.)
33
7
13.)
26
4
14.)
42
5
Find the sum and difference for the following pairs of mixed numbers. Answers should be
written as mixed numbers.
Try two ways: 1. Changing the fractions into improper fractions first
2. Adding/Subtracting the mixed numbers
Always change the mixed numbers to improper fractions before adding or subtracting
2
1
15.) 3 3 − 1 4
1
5
16.) −6 6 + 4 6
43
1
2
17.) 7 2 + 2 3
Homework: Day 9
Find the following sums and differences using a number line model.