Solve the Multiplication Problem: Calculate 3×36

Solve the following problem:

$3\times36=$

Apply the distributive property of multiplication and proceed to split the number 36 into the sum of the numbers 30 and 6. This allows us to work with smaller numbers and simplify the operation

Reminder - The distributive property of multiplication essentially allows us to split the larger term in a multiplication problem into a sum or difference of smaller numbers, which makes multiplication easier and gives us the ability to solve the problem without a calculator

$3×(30+6)=$

Apply the distributive property formula $a(b+c)=ab+ac$

$3×30+3×6=$

Proceed to solve the problem according to the order of operations

$90+18= 108$

Therefore the answer is option D - 108.

Shown below are the various stages of our solution:

$3\times36=3\times(30+6)=(3\times30)+(3\times6)=90+18=108$