Solve the Multiplication Problem: Calculate 3×36

Question

Solve the following problem:

3×36= 3\times36=

Video Solution

Solution Steps

00:00 Solve
00:03 We will use the distributive law
00:07 Let's break down 36 into 30 plus 6
00:11 Multiply the outer factor by each term in parentheses
00:15 Calculate each multiplication separately and then sum
00:18 And this is the solution to the question

Step-by-Step Solution

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)= 3×(30+6)=

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

3×30+3×6= 3×30+3×6=

Proceed to solve the problem according to the order of operations

90+18=108 90+18= 108

Therefore the answer is option D - 108.

Shown below are the various stages of our solution:

3×36=3×(30+6)=(3×30)+(3×6)=90+18=108 3\times36=3\times(30+6)=(3\times30)+(3\times6)=90+18=108

Answer

108 108