Quantitative Aptitude - SPLessons

Two Digit-Three Digit Numbers Product

SPLessons 5 Steps, 3 Clicks
5 Steps - 3 Clicks

Two Digit-Three Digit Numbers Product

shape 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.


shape 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.


shape Exercises

1. Find the product of 88 × 106.

2. Find the product of 99 × 111.

3. Find the product of 109 × 91.


Answers:

    1. 9328

    2. 10989

    3. 9919