Chapter 1 Grade 7 Review

Questions from class

1) -3 - (-7)=4

2) -3 - 7=-10

3)3 - 7=-4

4) 3 + 7=10

5) -3 + 7 = 4

Chapter 2 Multiplying Integers

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

+++ +++ 2 groups of +3

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

--- --- 2 groups of -3

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

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

Sign Rule (Negative Signs)

Even: When you have an even number of negative factors the product is positive.

Odd: When you have a odd number of negative factors the product is negative.

Chapter 3 Dividing Integers

Partitive Division: When you use groups to find your quotient

ex. 6 ÷ 2= 3

-6÷ (-2)= 3

Quotative Division: Share a number between an amount of groups

ex. (-6)÷2= -3

Multiplicative Inverse: When you rewrite a division question to a multiplication question because you can't find a way to use partitive or quotative division.

ex. 6÷(-2)=

you can't share 6 with -2 people so you use the multiplicative inverse

(-2)x(-3)=6

(-3)x(-2)=6

answer: -3

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3) = ?

You can use BEDMAS to solve this question

BEDMAS stands for:

B-Brackets

E-Exponents

D-Division

M-Multiplication

A-Addiction

S-Subtraction

Ex.

There are no brackets or exponents so you could skip the B and the E.

There is a division question and that is (-6) ÷ (+3).

(-6) ÷ (+3) = -2.

The question now is (+5) x (-3) + (-2) = ?

There is a multiplication question and that is (+5) x (-3).

(+5) x (-3) = -15

The question now is (-15) + (-2)

Now all you have to do is solve (-15) + (-2).

(-15) + (-2) = -17.

Your answer is -17

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