# Two Digit-Three Digit Numbers Product

5 Steps - 3 Clicks

# Two Digit-Three Digit Numbers Product

### Introduction

How to Quickly Calculate the Product of a 2-digit and 3-digit Number

In this article, we will be studying various tricks to calculate the Two Digit-Three Digit Numbers Product. We will understand this method using examples. We choose the base to be 100.

### Short Cuts

Example 1:

Find the product of 97 × 107 = ?

Step 1: Find the difference of the numbers with respect to 100.

Step 2: Add first number with the difference of the other. We get 97 + (+7) = 104.

Step 3: Multiply the result of Step 2 with 100. We get 104 × 100 = 10400.

Step 4: Multiply the differences obtained in Step 1.

Step 5: Add the results obtained in Step 3 and Step 4 to get the answer.

∴ The answer is 10400 + (-21) = 10379.

Example 2:

Find the product of 88 × 111 =?

Step 1: Find the difference of the numbers with respect to 100.

Step 2: Add first number with the difference of the other. We get 111 + (-12) = 99.

Step 3: Multiply the result of Step 2 with 100. We get 99 × 100 = 9900.

Step 4: Multiply the differences obtained in Step 1.

We get (+11) × (-12) = -132.

Step 5: Add the results obtained in Step 3 and Step 4 to get the answer.

∴ The answer is 9900 + (-132) = 9768.

### Exercises

1. Find the product of 88 × 106.

2. Find the product of 99 × 111.

3. Find the product of 109 × 91.