All Operations with Integers

Fundamental Operations on Integers

(​Addition, Subtraction, Multiplication, and Division of Integers)

By Noeliza Mae Lavandero

INTEGERS

​​In Mathematics, the positive and negative numbers are called integers. The set of all integers is denoted by ℤ.

ℤ​={...,-2,-1,0,1,2,...​}

​

We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division.

Grade 7 Mathematics

ADDITION OF INTEGERS

Positive + Positive = Positive ​

Ex: 5 + 3 = ​8

Negative + Negative = Negative

Ex: ​(-5) + (-3) = -8

Positive + Negative = use the larger number and its sign, subtract

​Ex: 5 + (-3) = 2

Negative + Positive = ​use the larger number and its sign, subtract

Ex: (-5) + 3 = -2​

Fill in the Blanks

$24+\left(-18\right)=$  

Fill in the Blanks

$\left(-78\right)+\left(-78\right)=$  

SUBTRACTION OF INTEGERS

Negative - Positive = Negative + Negative = ​Negative

Ex: (-5) - 3 = ​(-5) + (-3) = -8

Positive - Negative = Positive + Positive = Positive

Ex: ​5 - (-3) = 5 + 3 = 8

Positive - Positive = Positive + Negative = use the larger number and its sign, subtract

​Ex: 5 - 3 = 5 + (-3) = 2

​Negative - Negative = Negative + Positive = use the larger number and its sign, subtract

​Ex: (-5) - (-3) = (-5) + 3 = -2

Fill in the Blanks

$\left(-53\right)-\left(28\right)=$  

Fill in the Blanks

$\left(-1024\right)-\left(-520\right)=$  

MULTIPLICATION OF INTEGERS

Positive × Positive = Positive

Ex: 5 × 3 = ​15

Negative × Negative = Positive

Ex: ​(-5) × (-3) = -15

Negative × Positive = Negative

​Ex: (-5) × 3 = -15

​Positive × Negative = Negative

​Ex: 5 × (-3) = -15

Subject | Subject

Fill in the Blanks

$\left(-25\right)\times\left(-3\right)=$  

Fill in the Blanks

$\left(28\right)\times\left(-5\right)=$  

DIVISION OF INTEGERS

Positive ÷ Positive = Positive

Ex: 15 ÷ 3 = ​5

Negative ÷ Negative = Positive

Ex: ​(-15) ÷ (-3) = 5

Negative ÷ Positive = Negative

​Ex: (-15) ÷ 3 = -5

​Positive ÷ Negative = Negative

​Ex: 15 ÷ (-3) = -5

Fill in the Blanks

$169\div\left(-13\right)=$  

Fill in the Blanks

$\left(-38\right)\div\left(-76\right)=$