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
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.
Recent Articles
-
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:01 AM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie… -
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s… -
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
Jan 13, 25 01:34 PM
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced -
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.
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.