7th Grade Substitute Lesson

$$\left|-2-6\right|$$

$$-2-6$$

$$-2+6$$

$$\left|-2+6\right|$$

6 is the additive inverse of 6

-4 is the additive inverse of 4

781 is the additive inverse of -781

-21 is the additive inverse of 22

1 is the additive inverse of 0

-8

8

4

-4

1

-1

-2

-8

$$9+\left(-7\right)$$

$$9-7$$

$$\left|9-\left(-7\right)\right|$$

$$\left|9-7\right|$$

$$12+1=13$$

$$21+0=21$$

$$\left(-7\right)+0=\left(-7\right)$$

$$15+15=30$$

$$\left(-12\right)+12=0$$

2

-2

16

-16

-33

-31

-28

-17

$$\left|5+1\right|$$

$$\left|1-5\right|$$

$$1-5$$

$$5-1$$

The distance from 0 to a number gives the absolute value of a number.

Variable or a constant is any number.

Distance from 0 and it will always be negative.

6

-6

4

-4

− 9, -5, -3, 0, 4, 3

− 9, -5, -3, 0, 3, 4

− 5, -9, -3, 0, 4, 3

3, 4, 0, -3, -5, -9

$$\left|-18-4\right|$$

$$\left|-4-18\right|$$

$$\left|-4-\left(-18\right)\right|$$

$$-18-\left(-4\right)$$

Decimals that end

Decimals that go on forever

Fractions

Negative Numbers

Irrational Numbers

9

-7

0

16

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-9+7=16

16-7=9

-7+16=9

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$$8-16=-8$$

$$16-8=8$$

$$8-16=8$$

$$-16+8=-8$$

-16+12+7

-16+12+7=3

7+12-16=3

3-7-12=-16

Moving numbers

Moving Parenthesis

$$a\times b=b\times a$$

$$\left(a+b\right)+c=a+\left(b+c\right)$$

Works for Multiplication & Addition

-87

87

Moving numbers

Moving Parenthesis

$$a\times b=b\times a$$

$$\left(a+b\right)+c=a+\left(b+c\right)$$

Works for Multiplication & Addition

77

-77

POSITIVE 

NEGATIVE

POSITIVE 

NEGATIVE

-13

13

POSITIVE 

NEGATIVE

-50

50

POSITIVE 

NEGATIVE

The number itself

The number needed to make zero when you add

A number's distance from zero

The opposite of a number

-13

13

The number itself

The number needed to make zero when you add

A number's distance from zero

The opposite of a number

Nothing. They are the same thing.

One is a distance so it's always positive.

One is more difficult than the other.

Rational Numbers

Opposites

Integers

Absolute Values

Additive inverse

Opposites

Integers

Absolute value

-5 + 5 = 0

|-4| = 4

-2 + -2 = -4

77

-77

4 and -4

3.6 and -6.3

9/11 and -9/11

-44

44

I have no idea.

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A) New Orleans and B) Cleveland

A) Cleveland and B) Miami

A) Miami and B) Burlington

A) Miami and B) Cleveland