**Grade 7 Integer Review**

Integers

An integer is a number that is not a fraction. An integer is any of the natural numbers (positive or negative) or zero.

positive-red

negative-blue

Brackets are training wheels.

Examples:

-4-(-8)

-4+8 ---> standard form

4-(+9)

4-9 ---> standard form

-7+(-8)

-7-8 ---> standard form

3-7=-4

3+7=10

-3+7=4

Chapter 2

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.

(+2) x (+3)= 6

2 groups of positive 3

(-2) x (-3)= 6

remove 2 groups of negative 3

Chapter 3

Dividing Integers

Partitive Division

You are trying to find out how many times a number contains another number.

Examples:

6÷2=3

-6÷(-2)=3

Quotative Division

Sharing equally with groups.

Example:

-6÷2=-3

Multiplicative Inverse can help you solve 6÷(-2)= by checking your answer. When you found out what the quotient is, switch its place with the divisor's place.

6÷(-2)=-3 ---> 6÷(-3)=-2

Sign Rule

When you divide two integers with the same signs, the quotient would be positive.

When you divide two integers with different signs, the quotient would be negative.

6÷2=3 - positive because they have same signs

-6÷(-2)=3 - positive because they have same signs

(-6)÷2=-3 - negative because they have different signs

6÷(-2)=-3 - negative because they have different signs

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3)=

You could solve this problem by using BEDMAS-brackets, exponents, division, multiplication, addition, subtraction.

- Perform division and multiplication as they occur from left to right.

- Perform addition and subtraction as they from left to right.

(+5) x (-3) + (-6) ÷ (+3)= -15+(-2)

(+5) x (-3) + (-6) ÷ (+3)=-15-2

(+5) x (-3) + (-6) ÷ (+3)=-17

Good job, Ysabelle! I really liked the way you described your answer. Next time add a link or video.

ReplyDelete