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Where, l and b are variable and the value of perimeter changes with the change in l and
b.
Use of Variables in Common Rules (Arithmetic)
1. Commutativity of Addition
5 + 4 = 9
4 + 5 = 9
Thus, 5 + 4 = 4 + 5
This is the commutative property of addition of the numbers, in which the result
remains the same even if we interchanged the numbers.
a + b = b + a
Here, a and b are different variables.
Example
a = 16 and b = 20
According to commutative property
16 + 20 = 20 + 16
36 = 36
2. Commutativity of Multiplication
8 × 2 = 16
2 × 8 = 16
Thus, 8 × 2 = 2 × 8
This is the commutative property of multiplication, in which the result remains the same
even if we interchange the numbers.
a × b = b × a
Here, a and b are different variables.
Example
18 ×12 = 216, 12 ×18 = 216
Thus, 18 × 12 = 12 × 18
3. Distributivity of Numbers
6 × 32
It is a complex sum but there is an easy way to solve it. It is known as the distributivity
of multiplication over the addition of numbers.
6 × (30 + 2)
= 180 + 12