In Mathematics, we say that multiplication is distributive over addition and subtraction because given three numbers, \(a, b\) and \(c\) belonging to the set of Real numbers \((\mathbb{R})\), the relations below are true.
Addition
\(a (b + c) = ab + ac\)
Subtraction
\(a (b - c) = ab - ac\)
Using the two properties above, we can say that when finding the product of two numbers, we can express one of the numbers as a sum or difference of two other numbers, and apply the distributive property to find the product of our initial numbers.
Consider the examples below:
Example 1
Example 2
Example 3
Example 4
Example 5
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