Calculate the Product: Solving 101 × 17 Step by Step

Question

Solve the following problem:

$101\times17=$

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

In order to render the process easier for ourselves, we will use the distributive property over 101:

$(100+1)\times17=$

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

$(100\times17)+(1\times17)=$

Let's solve the expressions in parentheses:

$1,700+17=1,717$

$1717$