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MathMathMathMath

Adding IntegersAdding Integers

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What Are You Learning?

•I CAN add integers.

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Why Do You Need To Know This?

•Adding integers is useful because it helps in solving real world problems.

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Vocabulary• What are opposites?Two integers that are the same distance from

zero on the number line but are on opposite sides of zero.

• Two integers that are opposites are also called additive inverses.

• The sum of any number and its additive inverse or opposite is zero.

–What are some situations that would be considered additive inverses?

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Adding Integers Same Sign

The sum of two positive integers is positive.

The sum of two negative integers is negative.

Ex: -12 + (-31) = -43

Complete the following problems.

a. -3 + (-2)

b. 6 + 3

c. -1 + (-8)

d. 23 + 38

e. -35 + (-49)

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-25 + (-12)

-37 13 -1

3 37

25% 25%25%25%1. -372. 133. -134. 37

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

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10 + 37

47 -27 27 -4

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25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33

1. 472. -273. 274. -47

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Vocabulary

Zero pair—A positive number that is paired with a negative number.

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Use counters to represent 5 + (-3).□□□□□ + ■■■Group and remove the zero pairs.□□□□□■■■Count the counters you have left.□□ 5 + (-3) = 2

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Use counters to find 2 + (-5)□□ + ■■■■■Group and remove the zero pairs.□□ ■■■■■Count the counters you have left.

■■■ -32 + (-5) = -3

Complete the following problems.

a. -3 + 2

b. -5 + 1

c. -6 + 5

d. 8 + (-3)

e. 3 + (-6)

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Adding Integers Different Signs

To add integers with different signs, subtract their absolute values and take the sign of the larger number.

Ex: 7 + (-18) = -11

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Integer SongSing to the tune of “Row, Row, Row, Your

Boat”

“Same sign, add and keep,Different sign subtract.Take the sign of the higher

number, Then you’ll be exact.”

Complete the following problems.

a. 7 + (-1)

b. -8 + 4

c. 10 + (-12)

d. -16 + 9

e. -13 + 8

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11 + (-7)

4 -4 -18 18

50% 50%

0%0%

1. 42. -43. -184. 18

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33

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12 + (-22)

1. 102. -343. -104. 34

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33

Complete the following problems.

a. -6 + (-3)

b. -34 + (-21)

c. 8 + (-7)

d. -5 + 4

e. 2 +(-7)

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10 + (-34) + 17

61 -41 41 -7

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33

1. 612. -413. 414. -7

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Complete the following problems.

a. -1 + 4

b. 7 + (-3)

c. -2 + (-2)

d. (-7) + (-3)

e. 2 + (-6)

f. -4 + 9

g. -5 + (-1)

h. On two plays, a football team loses 8 yards and then gains 3 yards.

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Complete the following problems.

a. -22 + (-16)

b. 60 + (-13)

c. -125 + 35

d. -12 + (-6) + 15 + (-2)

e. 1 + (-3) + 2 + (-10)

f. -250 + 200 + (-100)

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Complete the following problems.

a. -37 + (-5)

b. 14 + (-4)

c. -20 + (-15)

d. -100 + 5 +(-3)

e. -7 + (-4) + 13 + (-5)

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Class Work