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Adding Rational Numbers
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Adding Rational Numbers
Date ______ c. What Is Your Answer? 4. IN YOUR OWN WORDS How can you use what you know about adding integers to add rational numbers? PUZZLE Find a pa...
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Name_________________________________________________________
Date __________
Adding Rational Numbers
2.2
For use with Activity 2.2
Essential Question How can you use what you know about adding integers to add rational numbers? 1
ACTIVITY: Adding Rational Numbers
Work with a partner. Use a number line to find the sum. a. 2.7 + ( − 3.4)
−3
−2
−1
0
1
2
3
2.7 + ( − 3.4) = _________ b. 1.3 + ( −1.5)
−3
d. −1
−2
0
1
2
−3
3
1 3 + 4 4
−3
2
−1
c. − 2.1 + 0.8
−2
e.
−1
0
1
2
−2
0
1
2
3
0
1
2
3
3 3 + − 10 10
−3
3
−1
−2
−1
ACTIVITY: Adding Rational Numbers
Work with a partner. Use a number line to find the sum. a. −1
2 4 + − 5 5
−3
−1
−2
−1
0
1
2
3
2 4 + − = _________ 5 5
Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Red Record and Practice Journal
29
Name ________________________________________________________ Date _________
2.2
Adding Rational Numbers (continued) b. −
7 7 + −1 10 10
−3
−2
−1
0
1
2
−3
3
d. − 0.4 + ( −1.9)
−3
3
−2
2 1 + −1 3 3
c. −1
−2
−1
0
1
2
3
0
1
2
3
e. − 2.3 + ( − 0.6)
−1
0
1
2
−3
3
−2
−1
ACTIVITY: Writing Expressions
Work with a partner. Write the addition expression shown. Then find the sum. a.
Start at 0. Move 1.5 units to the right.
−4
b. Then move 3
−3
30
1.5
−1
7 units 10
right to end at
−4
−2
−3
0
Add 3
.
−2
−2
Big Ideas Math Red Record and Practice Journal
Then move 2.3 units left to end at −0.8.
Add −2.3.
1
7 . 10
3
Start at 0. Move 2
1 10
−1
2
1 10
units to the left. 0
1
2
3
Copyright © Big Ideas Learning, LLC All rights reserved.
Name_________________________________________________________
2.2
Date __________
Adding Rational Numbers (continued) c.
Then move 0.7 unit left to end at .
−4
−3
Start at 0. Move 1.1 units to the left.
Add −0.7. −1.1 −2
−1
0
1
2
3
What Is Your Answer? 4. IN YOUR OWN WORDS How can you use what you know about adding
integers to add rational numbers?
PUZZLE Find a path through the table so that the numbers add up to the
sum. You can move horizontally or vertically.
3 4
5. Sum:
Start
1 2 −
1 8
6. Sum: − 0.07
2 3 −
3 4
Copyright © Big Ideas Learning, LLC All rights reserved.
−
5 7
1 3
Start End
2.43
1.75
− 0.98
−1.09
3.47
− 4.88
Big Ideas Math Red Record and Practice Journal
End
31
Name _________________________________________________________ Date _________
2.2
Practice For use after Lesson 2.2
Add. Write fractions in simplest form.
6 7
1. −
4 3 + 5 20
2. − 8 + −
4. −
1 5 + − 6 12
5.
7. 0.46 + ( − 0.642)
10. Before a race, you start 4
9 + ( − 3) 10
8. 0.13 + ( − 5.7)
2 1 + −3 15 2
3. 1
6. − 5
3 5 + −4 4 6
9. − 2.57 + ( − 3.48)
5 feet behind your friend. At the halfway point, 8
2 feet ahead of your friend. What is the change in distance 3 between you and your friend from the beginning of the race?
you are 3
32
Big Ideas Math Red Record and Practice Journal
Copyright © Big Ideas Learning, LLC All rights reserved.
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