Mathematics
Show that multiplication is distributive over addition for whole numbers using the numbers 8, 5 and 3.
Answer
Given,
a = 8, b = 5 and c = 3.
The distributive property of multiplication over addition states that:
a × (b + c) = (a × b) + (a × c)
LHS = 8 × (5 + 3) = 8 × 8 = 64
RHS = (8 × 5) + (8 × 3) = 40 + 24 = 64
Since LHS = RHS = 64, multiplication is distributive over addition for the whole numbers 8, 5 and 3.
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