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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.
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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