Subscribe to our YouTube channel for the latest videos, updates, and tips.


Multiplication

In multiplication we know how to multiply a one, two or three-digit number by another 1 or 2-digit number. We also know how to multiply a four-digit number by a 2-digit number. We also know the different methods of multiplication. Here, we shall make use of the methods and procedures learnt previously in multiplying larger numbers.

The numbers that are being multiplied are called factors.

The answer of a multiplication operation is called a product.

Let us recall the properties of multiplication:

I. The product does not change when the order of the numbers is changed.

5 × 4 = 4 × 5

6 × 3 = 3 × 6


II. The product does not change when the grouping of numbers is changed.

(6 × 7) × 4 = 6 × (7 × 4)

2 × (5 × 3) = (2 × 5) × 3


III. The product of a number and 1 is the number itself.

96 × 1 = 96

72 × 1 = 72


IV. The product of a number and 0 is 0.

754 × 0 = 0

316 × 0 = 0

For examples:

40 × 5 = 200

400 × 5 = 2000

4000 × 5 = 20000



Now, we will recall how to do multiplication of a number by a 1-digit number.


Examples on Expanded Notation Method:

1. Use expanded notation to multiply 64 and 8.

Expanded notation



4 × 8   =    32

60 × 8 = + 480
          =    512

Answer: 512

3 and 4 digit numbers can also be multiplied by a 1 digit number using the expanded notation method.

2. Use expanded notation to multiply 413 by 5.

Expanded Notation to Multiply





3 × 5    =        15
10 × 5  =        50
400 × 5 = + 2000
            =   2065

Answer: 2065

3. Use expanded notation to multiply 1246 by 3.

Expanded Notation to Multiply





6 × 3      =       18
40 × 3    =       50
200 × 3  =      600
1000 × 3 = + 3000
             =    3738

Answer: 3738

4. Use expanded notation to find the product of 1409 and 5.

Expanded Notation





9 × 5     =       45
0 × 5     =         0
400 × 5  =    2000
1000 × 5 = + 5000
             =    7045

Answer: 7045


Let us first revise the process of multiplication. 


Consider the following:

1. Multiply 215 by 7

Solution:

(i) (Expanded notation method)

215 × 7 = (200 + 10 + 5) × 7          1 4 0 0

= 200 × 7 + 10 × 7 + 5 × 7        +        7 0

= 1400 + 70 + 35                       +        3 5

= 1505                                            1 5 0 5


(ii) (Column method)

Column Method

Product = 1505

(i) 5 ones × 7 = 35 = 3 tens + 5 ones

5 is written under one column, 3 ten is carried over

(ii) 1 ten × 7 = 7 tens,

7 tens + 3 tens = 10 tens = 1 H + 0 ten.

0 is written under ten-column,

1 hundred is carried over

(iii) 2 hundreds × 7 = 14 hundreds

14 hundreds + 1 hundred = 15H

15H = 1Th + 5H. 1 is written under

Th-column and 5H is placed under H-column

So, 215 × 7 = 1505


2. Multiply 6103 by 8

Solution:

(i) (Expanded notation method)

6103 × 8 = (6000 + 100 + 0 + 3) × 8          4 8 0 0 0

= 48000 + 800 + 0 + 24                         +        8 0 0

= 48824                                                  +             0

                                                              +          2 4
                                                                  4 8 8 2 4


(ii) (Column method)

Multiplication

Product = 4 8 8 2 4

(i) 3 one × 8 = 24 ones = 2 tens + 4 ones

4 is placed under ones, 2 tens is carried over

(ii) 0 ten × 8 = 0, 0 + 2 = 2 tens, placed
under ten's

(iii) 1H × 8 = 8 hundreds, 8H is placed under H

(iv) 6Th × 8 = 48 thousands. It is placed under
Th.

So, 6103 × 8 = 48824



3. Find the product of 2113 and 3 using column method.

Solution:

multiply 4 digit numbers by a 1 digit number

Answer: 8452

3 × 4 = 12 ONES

Regroup as 1 TEN 2 ONES.

You might like these

Related Concept

Addition

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division



4th Grade Math Activities

From 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

  1. Speed Distance and Time | Relation between Speed Distance and Time

    May 21, 25 12:58 PM

    Speed is defined as the distance covered per unit time. Speed = (Distance Travelled)/(Time Taken) Or, S = D/T. Speed also requires a unit of measurement. If the distance is in kilometres

    Read More

  2. Math Problem Answers | Solved Math Questions and Answers | Free Math

    May 21, 25 12:45 PM

    Partial fraction
    Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades

    Read More

  3. Test of Divisibility | Divisibility Rules| Divisible by 2, 3, 5, 9, 10

    May 21, 25 10:29 AM

    The test of divisibility by a number ‘x’ is a short-cut method to detect whether a particular number ‘y’ is divisible by the number ‘x’ or not. Test of divisibility by 2: A number is divisible by 2

    Read More

  4. Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7

    May 21, 25 10:17 AM

    Divisible by 7
    Divisible by 7 is discussed below: We need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be

    Read More

  5. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More