Calculate the Product: Solving 101 × 17 Step by Step

Question

Solve the following problem:

101×17= 101\times17=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distribution law
00:07 Break down 101 into 100 plus 1
00:09 Make sure to multiply the outer term by each term in parentheses
00:16 Solve each multiplication separately and then sum up
00:20 And this is the solution to the question

Step-by-Step Solution

To make the solving process easier for ourselves, we will use the distributive property over 101:

(100+1)×17= (100+1)\times17=

We will multiply 17 by each of the terms in parentheses:

(100×17)+(1×17)= (100\times17)+(1\times17)=

Let's solve the expressions in parentheses:

1,700+17=1,717 1,700+17=1,717

Answer

1717 1717