Solve the Multiplication Problem: 33×16

To make it easier for us to solve, let's break down 33 and 16 into more convenient numbers, preferably round ones.

We get:

$(30+3)\times(10+6)=$

We'll use the distributive property to solve.

First, we'll multiply the first term in the left parentheses by the first term in the right parentheses.

We'll multiply the first term in the left parentheses by the second term in the right parentheses.

We'll multiply the second term in the left parentheses by the first term in the right parentheses.

We'll multiply the second term in the left parentheses by the second term in the right parentheses.

We get:

$(30\times10)+(30\times6)+(3\times10)+(3\times6)=$

Let's solve what's in the parentheses and we get:

$300+180+30+18$

Let's solve from left to right:

$300+180=480$

$480+30=510$

$510+18=528$