Grade 7 Integers Review:

What we may remember.

- "When subtracting something that isn't there use a zero pair."

- A zero pair are 2 numbers that have the same value but opposite signs and adds up to zero

- When subtracting or adding integers, you can use a number line or integer chips to help you. When you use chips, generally red symbolizes positive and blue symbolizes negative.

1) -3 - (-7) = 4

2) -3 - 7 = -10

Chapter 2

Multiplying Integers:

This is what we did in class. (Show example with images)

(+3) x (+2) = 6

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

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

(-3) x (-2) = 6

Sign Rule:

Even - When you have an even number of negative factors the product is POSITIVE.

Odd - When you have an odd number of negative factors the product is NEGATIVE.

Chapter 3

(-3) x (-2) = 6

Sign Rule:

Even - When you have an even number of negative factors the product is POSITIVE.

Odd - When you have an odd number of negative factors the product is NEGATIVE.

Chapter 3

Dividing Integers:

Partitive Division (show on number line)

How many groups of +2 are in 6?

6 ÷ 2= 3

-6 ÷ (-2)= 3

How many groups of -2 are in -6?

Quotative Division

Quotative Division is sharing.

(-6) ÷ 2 = -3

Share (-6) with 2 groups.

This would be an example of an image of Quotative Division.

Multiplicative Division

-6 ÷ -2 = 3

-3 x -2 = 6

-2 x -3 = 6

-6 ÷ 2 = -3

2 x -3 = -6

-3 x 2 = -6

Chapter 4

Partitive Division (show on number line)

How many groups of +2 are in 6?

6 ÷ 2= 3

-6 ÷ (-2)= 3

How many groups of -2 are in -6?

Quotative Division

Quotative Division is sharing.

(-6) ÷ 2 = -3

Share (-6) with 2 groups.

This would be an example of an image of Quotative Division.

Multiplicative Division

-6 ÷ -2 = 3

-3 x -2 = 6

-2 x -3 = 6

-6 ÷ 2 = -3

2 x -3 = -6

-3 x 2 = -6

Chapter 4

Order of Operations with Integers:

This is the order of calculations.

Answer (+5) x (-3) + (-6) ÷ (+3) using B.E.D.M.A.S.

Step 1:

(+5) x (-3) + (-6) ÷ (+3)

Step 2:

[(+5) x (-3) ] + [ (-6) ÷ (+3)]

Step 3:

-15 + -2

Answer:

-17

This is the order of calculations.

- Add brackets
- Do everything inside brackets first: "( )"
- Next is to do exponents: x
^{2} - Then do multiplies and divides from left to right
- Lastly do the adds and subtracts from left to right

Answer (+5) x (-3) + (-6) ÷ (+3) using B.E.D.M.A.S.

Step 1:

(+5) x (-3) + (-6) ÷ (+3)

Step 2:

[(+5) x (-3) ] + [ (-6) ÷ (+3)]

Step 3:

-15 + -2

Answer:

-17

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