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The four basic rules of operations for integers are:
Addition: sum
Subtraction: difference
Multiplication: product
Division: quotient
BODMAS is applied when more than one law in an operation is used, e.g 15 + 7 x 4 - 6 / 3

Properties of operations:
Commutative law: this applies only to addition and multiplication. It can only be used when two numbers are involved and order does not matter.
Associative law: this applies to addition and multiplication and can only. It can only be used when three numbers are involved and order does not matter.
Distributive law: this also applies to addition and multiplication and can be used by either multiplying a number by the sum of two numbers or multiplying first and adding the two products.

The imagine of the number line shows that when a number moves to the right it is bigger and when it moves to the left it becomes smaller. Thus +4+-6= -2.
www.google.co.za

Rule 1- if we add the same number to each side of an inequality,the inequality is still true, e.g
2 > -4
2 + 6 > -4 + 6
8 > 2
Rule 2- if we subtract the same number from each side of an inequality, the inequality is still true, e.g
5 > -4
5 - 4 > -4 - 4
1 > -8
Rule 3- if we multiply both sides of an inequality by a positive number, the inequality is still true, e.g
-6 > -8
-6 x 6 > -8 x 6
-36 > -48
Rule 4- if we multiply both sides of an inequality by a negative number, the inequality sign must be reserverd, e.g
-2 < 3
-2 x -2 > 5 x -2
4 > -10

Test
1. Solve: 20 + 15 x 4 - 15 / 3
2. Use the associative law to calculate: 8(6 + 12)
3. Use the number line to find: 7 - (-9)
4. Do the following calculations for the inequality 9 > -12
a) add 4 to both numbers.
b) multiply both numbers by 4.
5. Calculate: 12/5 x 2/3

The video shows laws of addition, subtraction, multiplication and division of improper, proper and mixed fractions.
www.youtube.com

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