september 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

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September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

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Page 1: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

September 16

1. -5 + 9 =2. 7 + 8 =3. -10 + -4 = 4. 4 + -6 =5. 324 + - 188

Page 2: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Correct Homeworkpage 12

8. 10 50. 319. -10 51. 810. -5 52. 11411. 7 53. 18412. -2 54. D13. 014. -215. 10

Page 3: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Lesson 1.2

Day 2

Page 4: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Key Ideapage 10

Adding Integers with the same signWords: Add the absolute vales of the

integers. Then use the common sign.

3 + 2 =-3 + -2 =

Page 5: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

SAME SIGNSADD

(Take the same sign)

Page 6: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Key Idea

Adding Integers with Different SignsWords: Subtract the lesser absolute

value from the greater absolute value. Then use the sign of the integer with the greater absolute value.

8 + (-10) =

Page 7: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

DIFFERENT SIGNSSUBTRACT

(Take the sign of the largest number)

Page 8: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Adding Integer Rule:(write in notebook)

SAME SIGNSADD

(Take the common sign)

DIFFERENT SIGNSSUBTRACT

(Take the sign of the largest number)

Page 9: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Simplify each expression.

a. 12 + (–23) = –11

b. –6.4 + (–8.6) = –15.0

The difference of the absolute values is 11. The negative addend has the greater absolute value, so the sum is negative.

Since both addends are negative, add their absolute values. The sum is negative.

Adding Real NumbersLESSON 1-4

Additional Examples

Quick Check

Page 10: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Vocab(write)

Opposite – 2 numbers that are the same distance from 0, but on opposite of 0.

For example: -3 and 3 are opposite

Additive Inverse PropertySum of a number and it’s opposite-4 + 4 = 0 25 + -25 = 0

Page 11: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

• Commutative Property of Addition – you can add numbers in a sum in any order.

• a + b + c = c + a + b • 1 + 3 + 9 = 9 + 1 + 3

• Commutative Property of Multiplication – you can multiply numbers in a product in any order.

• abc = bac

Commutative Property

Page 12: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

• Associative property of Addition – Changing the grouping of numbers will not change their sum.

• (a + b) + c = a + (b + c)• (2 + 3) + 4 = 2 + (3 + 4)

• Associative property of Multiplication – Changing the grouping of factors will not change their product.

• (ab)c = a(bc) (a b)c = a(b c)∙ ∙

Associative Properties

Page 13: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Practicesame or different

1. 9 + -3 = 2. 10 + -8 = 3. -3 + -8 =4. 5 + -2 + =5. -10 + -3 = 6. 19 + -18 =7. -12 + -6 = 8. 8 + -3 =

Page 14: September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

Homework

Page 12 1-7, 16 – 23, 28 - 30