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**What are Integers?**

They are numbers that include **positive**and

**negative**numbers and

**zero**. We use integers for counting and working with whole quantities. Remember, integers do not have any fractions or decimals.

**.**

*They are just whole numbers*In a number line, positive numbers are on the right side of zero, negative numbers are on the left side, and zero is right in the middle.

**Positive + Positive = Positive**

**Example:**

10 + 10 = 20

35 + 46 = 81

16 + 23 = 39

48 + 55 = 103

67 +11 = 78

**Remember:**When you add two positive numbers together, the result is also positive.**Negative + Negative = Negative**

**Example:**

-12 + -16 = -28

-35 + -56 = -91

-23 + -34 = -57

-67 + -12 = -79

-57 + -45 = -102

**Remember:**When you add two negative numbers together, the result is negative.

**Negative + Positive = subtract, then you need to copy the sign of the larger number.**

**Example:**

-25 + 26 = 1

-34 + 12 =-22

-67 + 89 =22

-53 + 46 = -7

-1 + 100 = 99

**Remember:**When you add a negative number and a positive number together, you subtract the smaller number from the bigger number, and then you keep the sign of the bigger number.

**Negative - Positive = change the sign of the subtrahend then proceeds in addition.**

**Example:**

-12 - 16 =

-12 + -16 = -28

-35 - 56 =

-35 + -56 = -91

-23 - 34 =

-23 + -34 = -57

-67 - 12 =

-67 + -12 = -79

-57 - 45 =

-57 + -45 = -102

**Remember:**When you subtract a positive number from a negative number, you change the sign of the number you are subtracting (

*the subtrahend*) and then proceed with addition.

**Positive × Positive = Positive**

**Example:**

12 x 3 = 36

25 x 7 = 175

37 x 10 = 370

49 x 13 = 637

61 x 16 = 976

**Remember:**When you multiply two positive numbers together, the result is positive.

**Negative × Positive = Negative**

**Example:**

-4 x 5 = -20

-10 x 11 = -110

-14 x 16 = -224

-18 x 21 = -378

-22 x 26 = -572

**Remember:**When you multiply a negative number by a positive number, the result is ALWAYS negative.

**Negative × Negative = Positive**

**Example:**

-12 x -3 = 36

-25 x -7 = 175

-37 x -10 = 370

-49 x -13 = 637

-61 x -16 = 976

**Remember:**When you multiply two negative numbers together, the result is positive.

**Positive ÷ Positive = Positive**

**Example:**

100 ÷ 5 = 20

88 ÷ 4 = 22

64 ÷ 8 = 8

42 ÷ 7 = 6

36 ÷ 3 = 12

**Remember:**When you divide a positive number by a positive number, the result is positive.

**Positive ÷ Negative = Negative**

**Example:**

100 ÷ -5 = -20

88 ÷ -4 = -22

64 ÷ -8 = -8

42 ÷ -7 = -6

36 ÷ -3 = -12

**Remember:**When you divide a positive number by a negative number, the result is ALWAYS negative.

**Negative ÷ Negative = Positive**

**Example:**

-40 ÷ -5 = 8

-38 ÷ -2 = 19

-27 ÷ -9 =3

-18 ÷ -3 = 6

-12 ÷ -4 = 3

**Remember:**When you divide a negative number by a negative number, the result is ALWAYS positive.

That's how integers work! Please leave a comment if you appreciate it, and do not forget to share to help others understand its fundamentals too!

*Junior High School Notes*

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