In class we learned about ZERO PAIR.

A ZERO PAIR is a pair of positive and negative numbers that if added equals to 0.

Here is some exercises you can do.

Find the Zero Pairs for the following integers :

-6 +10 19 -16 -11 +14 63

+6 -10 -19 +16 +11 -14 -63

If a number immediately doesn't have a positive or negative sign it is known as a positive integer.

Integeres in Grade 7

(+4)+(-4)=0

(+4) is the money you have.

(-4) is the money you owe.

The (Brackets) in integers are training wheels.

(+4)+(-4)=0 +4+-4 +4-4 4-4 - Pure Standard Form -6+2= -4 - - - - - - negative + + positive

-6-2=-8

- - - - - - - -

-6+10=+4

- - - - - - + + + + + + + + + +

10-(-4)=+14

+ + + + + + + + + + - - - - + + + +

Removing the negative part of the zero pair.

Questions in Class

1)-6-(-4)=-2

2)-10+6=-4

3)6-7+2=+1

4)14-(-3)=+17

*5)-3-(-7)=+4

*6)-3-7=-10

*7)3-7=-4

*8)3+7=+10

Integers / Zero Pair

- Great Big Book Of Integers Chapter 2

(-3)x(+8)

(-3)(+8)- If nothing is between brackets it means multiply

3(+8)-multiply and standard form

(+8)+(+8)+(+8)-repeated addition

(+1)+(+1)+(+1)=3-repeated addition

3x(+1)=3

(-2)x(-3)

2 Groups of -3

remove two groups of (-3)

(-2)x(+3)=-6

or

3x(-2)

1.(4)x(+2)=+8

2.(5)x(-2)= -10

3.(-4)x(2)= -8

4.(-6)x(-1)=+6

Here is a link about multiplying integers.

Multiplying Integers

- Great Big Book of Integers Chapter 3

How many groups of __ are in ___?

How many __'s go into __?

Partitive Division

Number Lines

6÷2=How many groups of 2 are in 6?

-6÷(-2)=How many groups of -2 are in -6?

Quotative Division

Sharing with groups

(-6)÷2=How many groups of 2 are in -6?

When both integers are the same you can use partative or quotative division

15÷3=5 or (-15)÷(-3)=5

The Multiplicative Inverse can help you solve 6÷(-2) by doing the question, and the quotient of the answer will be part of the question when -2 would have to be the answer.

6÷(-2)=-3 then replace (-2) by -3 to have a question that's 6÷(-3)=-2.

Sign Rule

The quotient of two integers with the same sign is positive when even amount (-) signs means positive.

The quotient of two integers with the different sign is negative when odd number of (-) sign means negative.

6÷2=3 positve because both have the same sign which is +

-6÷(-2)=3 positive because both have the same sign which is -

(-6)÷2=-3 negative because numbers have different sign which is +and-

6÷(-2)=-3 negative because numbers have different sign which is +and-

Link about Partitive and Quotative Division

**Partitive And Quotative Division**

- Great Big Book Of Integers Chapter 4

BEDMAS- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

(+5) x (-3) + (-6) ÷ (+3)=

(+5) x (-3) + [(-6) ÷ (+3)]=

(+5) x (-3) + -2=

[(+5)x(-3)] + -2=

-10 + -2=

[-10 + -2]= -12

The Square Brackets I used are to separate that question and solve that problem before the others. The Order of Operation is solved using BEDMAS.

A link to exercise your Order of Operation skills.

Order of Operations (BEDMAS)

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