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Mr. C Chapter 1: Lesson 2: Adding Integers 1

Lesson 2: Adding Integers

ObjectiveIn this lesson, students will learn to add integers.

VocabularyInteger

Integers are any positive number, negative number, or zero.

Using Models to Represent Integers

P = Positive A positive number will cancel

with a negative numberN = Negative

Example 1Draw a model to represent each integer.

4 -6 -3

P P P P N N N N N N N N N

Practice 1Draw a model to represent each integer.

0 -2 -8 1

-9 7 10 -5

-12 6 -15 2

3 -7 -6 8

-4 9 -10 5

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Mr. C Chapter 1: Lesson 2: Adding Integers 2

Lesson 2: Adding Integers

Example 2Write the integer that is represented by the model.

P P P P PP

N N N N NN N N

P P P P PP P P P PP P

Integer = 6 Integer = -8 Integer = 12

N N N N N

N N N N NN N N

N N N N N

N N N N NN N N N NN N N N N

P P P P P

P P P P PP P P P P

Integer = -13 Integer = -20 Integer = 15

Practice 2Write the integer that is represented by the model.

P P P P P N N N N N

N

P P P P P

P

P P P P PP P P P P

P P P P PP P P P P

P P P P P

N N P P P P PP P P P P

P P P P PP P P P P

P P P P P

N N N N N

N N N N NN N N

P P P P P

P P P P PP P P P P

P P P

N N N N N

N N N N NN N N N N

N N N N

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________

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Mr. C Chapter 1: Lesson 2: Adding Integers 3

Lesson 2: Adding Integers

Using Models to Add Integers

P Positive A positive number will cancel

with a negative numberN Negative

Example 3

Draw a model to find each sum.

5 - 2 -6 + 6 -3 + 1P P P P N N N N N N N N

P P P P P P

N N N P

Solution 2 Solution 0 Solution -2

Practice 3

Draw a model to find each sum.

-1 + 4 7 - 2 -8 + 8 1 - 9

-1 - 5 9 + 2 -12 - 3 -5 + 6

7 + 1 -12 - 6 15 - 2 2 - 9

-19 + 2 15 - 18 -12 - 6 8 - 3

1 - 3 2 - 10 -9 -3 5 + 7

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

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Mr. C Chapter 1: Lesson 2: Adding Integers 4

Lesson 2: Adding Integers

Example 4

- The sum of positive numbers is positive23 + 60 Note: The sum of positive numbers is positive.

38

06

32

Answer: 83

Practice 4

- Adding positive numbers123 + 145 254 + 857 658 + 985 785 + 326

986 + 326 7584 + 962 985 + 325 254 + 658

258 + 698 2587 + 965 2457 + 6258 32657 + 6589

3265 + 9854 457 + 65 32568 + 36 2547 + 365

2547 + 3652 2154 + 6859 2145 + 362 2547 + 6589

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

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Mr. C Chapter 1: Lesson 2: Adding Integers 5

Lesson 2: Adding Integers

Example 5The sum of negative numbers is negative

-23 - 60 Note: The sum of negative numbers is negative.Add the numbers and keep the sign.

38

06

32

Answer: - 83

Practice 5

- Adding negative numbers-123 - 148 -254 - 457 -658 - 385 -185 - 36

-286 - 426 -584 - 974 -285 - 522 -154 - 238

-852 - 148 -587 - 234 -457 - 146 -657 - 589

-265 - 549 -456 - 657 -325 - 363 -547 - 365

-547 - 362 -154 - 859 -245 - 362 -547 - 658

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

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Mr. C Chapter 1: Lesson 2: Adding Integers 6

Lesson 2: Adding Integers

Example 6The sum of possitive and negative numbers will depend on the magnitude of the numbers.

23 - 60

Practice 6

- Adding sign numbers123 - 148 254 - 457 - 658 + 385 -185 + 36

286 - 426 584 - 974 285 - 522 154- 238

- 852 + 148 - 587 + 234 -457 + 146 - 657 + 589

265 - 549 456 - 657 325 - 363 -547 + 365

- 547 + 362 154 - 859 245 - 362 547 - 658

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

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Mr. C Chapter 1: Lesson 2: Adding Integers 7

Lesson 2: Adding Integers

Simplifying Signs

Steps

1.

Simplify signs+ * + = + Note:

-- * -- = + Same signs can be replace by a positive sign.

-- * + = --

+ * -- = -- Different signs can be replace by a negative sign.

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

Example 7

- Simplify the signs

Practice 7

- Combine the signs for each problem12 + (-5) - (-2) -2 - (-15) - (-2) 18 - (+1) + (-2) -7 - (+9) + (-7)

7 + (-4) 10(-30) 5 + (-6)(-5) + 7 -7 + (-1) - (-5) + (-9)

13 - (-8) - (-4) - (-2) -1 + (-1) - (-5) - (-3) 9 + (+6) - (-4) - (-3) 7 + (-8) - (-4) - (-6)

9 - (-3) - (-5) - (-7) 5 + (+1) - (-1) - (-2) 9 + (-7) - (-2) - (-4) -8 - (-7) - (-9) - (-17)

15 - (-2) - (-4) - (-3) -1 - (-1) - (-1) - (-1) -2 + (2) - (-2) - (-2) -5 - (-6) + (-5) + (-7)

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Mr. C Chapter 1: Lesson 2: Adding Integers 8

Lesson 2: Adding Integers

Adding and Subtracting Sign NumbersSteps

1. Simplify signs2. And all the positive numebers3. Add all the negative numbers4. Keep the sign of the number with the greater magnitude.

Answers

1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________

Example 8

- Adding and subtracting sign numbers

Practice 8

- Combine the signs for each problem-12 + (-5) + (-2) -2 + (-15) + (-2) -18 + (-1) + (-2) -7 + (-9) + (-7)

-7 + (-4) -10 + (-30) -5 + (-6) + (-5) - 7 -7 + (-1) + (-5) + (-9)

-13 + (-8) + (-4) - 2 -1 + (-1) -5 -3 -9 + (-6) + (-4) (-8) + (-4) + (-6)

-9 + (-3) (-1) + (-2) (-7) + (-2) + (-4) (-7) + (-9) + (-17)

-15 + (-2) + (-4) -1 + (-1) + (-1) -2 + (-2) -5 + (-6) + (-5) + (-7)

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Mr. C Chapter 1: Lesson 2: Adding Integers 9

Lesson 2: Test Your Knowledge

Add the following integers

1) 25+306+5487 2) 1873 - 298. 3) 2830 - 562

4) -698 + 36 5) -698+235 6) -9658+24

7) 40365 - 3654 8) 986 + 326 9) 874 - 925

Simplify the signs

10)58 + (25) + 63 11)36(24) + 13 12)8 + 36(57)

Solve the problem

13)98(36) + (75) 14)120365 + 215 15)568 + 87254

16)21547587456 17)23254 18)2569 + 96

19)Arvin High School has145 tenthgrade students,

568 eleventhgradestudents and 234 twelfth

grade students. What isthe schools total

enrollment?

20)Mr. C drove his car on hisvacation to Mexico. He

drove 123 miles onSunday, 234 miles on

Saturday, and 215 mileson Monday. How many

miles did Mr. C drove in

his vacation?

21)On Jepordy Lola score 143ponts in the first round,

235 in the second round,425 in the third round,

and 500 in the fourthround. What was Lolas

final score?

Answers1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________21)__________