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Rule of Integers
(Grade 7 Math)

Integers are the natural numbers, along with their negatives and zero.
The set {..., -3, -2, -1, 0, 1, 2, 3, ...} is called the set of integers.

ADDITION of INTEGERS
*To get the sum of two integers with like signs: ADD the addends then copy the common sign.

Illustration:
5 + 6 = 11
-3 + -12 = -15

*To get the sum of two integers with unlike signs: SUBTRACT the addends (highest minus lowest) then copy the sign of the highest number.

Illustration:
1) 5 + (-6) = -1
Between 5 and 6, the highest number is 6 and its sign is negative. That's why the answer is -1.

2) (-3) + 12 = 9
Between 3 and 12, the highest number is 12 and its sign is positive. That's why the answer is positive 9.

SUBTRACTION of INTEGERS
*To subtract an integers, change the subtraction sign ( - ) to addition sign ( + ) and change also the sign of subtrahend. Afterwards used the rule of addition to get the final answer.
Illustration:
1) 5 - 6 = 5 + (-6) = -1
2) (-5) - (-6) = (-5) + 6 = 1
3) (-3) - 7 = (-3) + (-7) = -10
4) 3 - (-7) = 3 + 7 = 10

MULTIPLICATION and DIVISION of INTEGERS
*If the two integers multiply or divides with like sign, their product or quotient is POSITIVE.
Illustration:
1) 5(6) = 30
2) (-2)(-4) = 8
3) 56/8 = 7
4) -60/(-12) = 5

*If the two integers multiply or divides with unlike sign, their product or quotient is NEGATIVE.
Illustration:
1) -5(6) = -30
2) 2(-4) = -8
3) 56/-8 = -7
4) -60/12 = 5

Try mo nga!😁
1. 23 + 34
2. -37 + (-82)
3. 26 - (-74)
4. -56 - (-21)
5. 132/-11
6. 15(-7)

~Sir Miks