Expansion Method of Multiplication

We will discuss here about the expansion method of multiplication. Now we will learn to multiply a 2-digit number and a 3-digit number by a 1-digit number using the method of expansion.


Solved examples for using the expand method of multiplication:

1. Multiply 82 × 7.

= (80 + 2) × 7, (breaking 82 as 8 × 10 + 2 × 1)

= 7 × 80 + 7 × 2

= 560 + 14

= 574

2. Find the value of 432 × 8.

(400 + 30 + 2) × 8, (breaking 432 as 4 × 100 + 3 × 10 + 2 × 1)

= 400 × 8 + 30 × 8 + 2 × 8

= 3200 + 240 + 16

= 3456



Similarly we can multiply a 4-digit number by a 1-digit number.

3. Find the product of 1023 and 3.

1023 × 3 

(1000 + 20 + 3) × 3

= 3 × 1000 + 3 × 20 + 3 × 3

= 3000 + 60 + 9

= 3069



4. Find the product of 1378 and 5.

1378 × 5 

(1000 + 300 + 70 + 8) × 5

= 5 × 1000 + 5 × 300 + 5 × 70 + 5 × 8

= 5000 + 1500 + 350 + 40

= 6890





3rd Grade Math Worksheets

3rd Grade Math Lessons

From Expansion Method of Multiplication to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. 5th Grade Factors and Multiples | Definitions | Solved Examples | Math

    Mar 23, 25 02:39 PM

    Prime Factor of 312
    Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is…

    Read More

  2. Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying

    Mar 23, 25 12:43 PM

    Adding 2-Digit Numbers Using an Abacus
    Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers.

    Read More

  3. Worksheet on 12 Times Table | Printable Multiplication Table | Video

    Mar 23, 25 10:28 AM

    worksheet on multiplication of 12 times table
    Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  4. Vertical Subtraction | Examples | Word Problems| Video |Column Method

    Mar 22, 25 05:20 PM

    Vertical Subtraction
    Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?

    Read More

  5. Worksheet on 11 Times Table | Printable Multiplication Table | Video

    Mar 22, 25 05:08 PM

    worksheet on multiplication of 11 times table
    Worksheet on 11 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More