Calculate the Product: 2 × 3 × 43 Step-by-Step

Question

2×3×43= 2\times3\times43=

Video Solution

Solution Steps

00:00 Solve
00:03 We'll solve each multiplication separately
00:10 We'll use the distributive law
00:14 We'll break down 43 into 40 plus 3
00:20 We'll open parentheses properly
00:23 We'll multiply the outer term by each term in parentheses
00:31 We'll solve each multiplication separately and then sum
00:42 And this is the solution to the question

Step-by-Step Solution

First, we solve the exercise from left to right.

We apply the associative property in order to simplify the exercise making it easier to solve:

2×3=6 2\times3=6

Resulting in the following calculation:

6×43= 6\times43=

We then decompose 43 into smaller parts rendering the equation easier to solve:

6×(40+3)= 6\times(40+3)=

We apply the distributive property in order to solve the equation.

We then multiply 6 by each of the terms inside the parentheses:

(6×40)+(6×3)= (6\times40)+(6\times3)=

Resulting in the following solution:

240+18=258 240+18=258

Answer

258