1-5 Adding Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes
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1-5 Adding Integers
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
1-5 Adding Integers
Warm UpGraph each number on a number line.
1. –5 2. 7
3. –4 4. 0
–5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
1-5 Adding Integers
Problem of the Day
Start at 0 on a number line. Move 5 units left and 3 units right. Where are you on the number line?
–2
1-5 Adding Integers
Learn to add integers.
1-5 Adding Integers
To add a positive number move to the right. To add a negative number move to the left.
Helpful Hint
Additional Example 1A: Using a Number Line to Add Integers
Use a number line to find the sum.
(–6) + 2
2
–6
You finish at –4, so (–6) + 2 = –4.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5
1-5 Adding IntegersAdditional Example 1B: Using a Number Line to Add
IntegersUse a number line to find the sum.
–3 + (–6)
–3
–6
You finish at –9, so –3 + (–6) = –9.
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2
1-5 Adding Integers
Check It Out: Example 1A
Use a number line to find the sum.
(–3) + 7
7
–3
You finish at 4, so (–3) + 7 = 4.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5
1-5 Adding Integers
Check It Out: Example 1B
Use a number line to find the sum.
(–2) + 4
4
–2
You finish at 2, so (–2) + 4 = 2.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5
1-5 Adding Integers
1-5 Adding Integers
Additional Example 2: Using Absolute Value to Add Integers
A. 1 + (–2)
Add.
1 + (–2)
2 > 1; use the sign of 2. –1
B. (–8) + 5
(–8) + 5
8 > 5; use the sign of 8. –3
Think: Find the difference of 1 and –2 .
Think: Find the difference of –8 and 5 .
1-5 Adding Integers
Additional Example 2: Using Absolute Value to Add Integers
C. (–2) + (–4)
Add.
(–2) + (–4)
Same sign; use the sign of the integers. –6
Think: Find the sum of –2 and –4 .
1-5 Adding Integers
Check It Out: Example 2
A. 3 + (–6)
Add.
3 + (–6)
6 > 3; use the sign of 6. –3
B. (–4) + 1
(–4) + 1
4 > 1; use the sign of 4. –3
Think: Find the difference of 3 and –6 .
Think: Find the difference of –4 and 1 .
1-5 Adding Integers
Check It Out: Example 2C
C. (–6) + (–7)
Add.
(–6) + (–7)
Same sign; use the sign of the integers. –13
Think: Find the sum of –6 and –7 .
1-5 Adding Integers
Additional Example 3: Evaluating Expressions with Integers
Evaluate c + 4 for c = –8.
c + 4
Replace c with –8.
8 > 4; use the sign of 8.
(–8) + 4
–8 + 4 = –4
Think: Find the difference of –8 and 4 .
1-5 Adding Integers
Check It Out: Example 3
Evaluate d + 7 for d = –3.
d + 7
Replace d with –3.
7 > 3; use the sign of 7.
(–3) + 7
–3 + 7 = 4
Think: Find the difference of –3 and 7 .
1-5 Adding Integers
Additional Example 4: ApplicationMeka opened a new bank account. Find her account balance after the first four transactions listed below.
Deposits: $200, $20 Withdrawals: $166, $38
Use a positive sign for deposits and a negative sign for withdrawals.
200 + 20 + (–166) + (–38)
Use the Associative Property to group integers with same signs.
(200 + 20) + (–166 + –38)
Add integers within each group.220 + (–204)
220 > 204; use the sign of 220.16
Meka’s account balance after the first four transactions is $16.
1-5 Adding Integers
Check It Out: Example 4Michael opened a new bank account. Find his account balance after the first four transactions listed below.
Deposits: $175, $95 Withdrawals: $133, $65
Use a positive sign for deposits and a negative sign for withdrawals.
175 + 95 + (–133) + (–65)
Use the Associative Property to group integers with same signs.
(175 + 95) + (–133 + –65)
Add integers within each group.270 + (–198)
270 > 198; use the sign of 270.72
Michael’s account balance after the first four transactions is $72.
1-5 Adding Integers
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
1-5 Adding Integers
Lesson QuizAdd.
1. –7 + (– 7) 2. 15 + (–9) + (–2) 4–14
Evaluate each expression for the given value
of the variable.
3. 13 + r for r = –15 4. 2 + b + (–9) for b = –6–2 –13
5. On Monday, a local dog shelter had six dogs.
By Friday they had found homes for three, but
took in two more. Then how many dogs were in
the shelter? 5 dogs
1-5 Adding Integers
1. Add –19 + (–29).
A. 48
B. 10
C. –10
D. –48
Lesson Quiz for Student Response Systems
1-5 Adding Integers
2. Add 27 + (–16) + (–9).
A. 2
B. 20
C. 34
D. 52
Lesson Quiz for Student Response Systems
1-5 Adding Integers
3. Evaluate the expression for the given value of the variable.
74 + r for r = –46
A. –74
B. –46
C. 28
D. 120
Lesson Quiz for Student Response Systems
1-5 Adding Integers
4. Evaluate the expression for the given value of the variable.
8 + z + (–8) for z = –8
A. 8
B. –8
C. –16
D. –24
Lesson Quiz for Student Response Systems
1-5 Adding Integers
5. In January, Tina had 9 pens. By March, she had given 3 pens to her friends. In the meanwhile, her dad bought her 4 pens. Then how many pens did Tina have?
A. 8 pens
B. 9 pens
C. 10 pens
D. 16 pens
Lesson Quiz for Student Response Systems
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