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Changing the order of the integers does not change the value of the result or the sum. This is called the commutative property of integers.
This property applies to addition and multiplication.
While adding (or) multiplying two integers, changing the order of the integers will not change the result.
If \(a\) and \(b\) are any two integers, then
(\(a + b\)) \(=\) (\(b + a\))
(\(a × b\)) \(=\) (\(b × a\))
Example:
1. \(2 + 4 = 4 + 2 = 6\)
2. \(8 × 2 = 2 × 8 = 16\)
This property does not apply to subtraction and division.
While subtracting two integers, changing the order of the integers will change the result.
If \(a\) and \(b\) are any integers, then
(\(a - b\)) \(≠\) (\(b - a\))
(\(a ÷ b\)) \(≠\) (\(b ÷ a\))
Example:
1. \(6 - 4 ≠ 4 - 6\)
2. (\(12 ÷ 6\)) \(≠\) (\(6 ÷ 12\))
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