select the expression that is equivalent to 48 +12
select the expression that is equivalent to 48 +12
You can use the property of distribution of multiplication over addition.
The expression that is equivalent to 48 + 12 is
Option B: 12(4 + 1)
Suppose you've got \(a \times (b + c)\), then you can distribute in those two numbers inside the bracket in multiplication as:
\(a \times (b + c) = a \times b + a \times c\)
Since 48 is 12 times 4 and 12 is 12 times 1, then we have:
\(48 + 12 = 12 \times 4 + 12 \times 1 = 12 \times (4 + 1)\\\\48 + 12 = 12(4 + 1 ) \text{\: (The multiplication sign is not written but is assumed to be there})}\)
Thus ,the expression that is equivalent to 48 + 12 is
Option B: 12(4 + 1)
Learn more about multiplication's distributive property over addition here:
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