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# Ways to Multiply and Divide Class 5 Notes CBSE Maths Chapter 13 [Free PDF Download]

## NCERT Class 5 Maths Chapter 13 Notes: Multiplication and Division Simplified

Last updated date: 19th Mar 2023
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Class 5 maths is definitely a very important subject for students. It is in this class that they learn the basic foundational concepts and calculation techniques that will help that in the future. Class 5 chapter 13 ways to multiply and divide is one such chapter that can help students develop skills in mathematical calculations through multiplication and division. There are different logic-based questions and practice problems that can help students get a better understanding of the chapter. Studying Ways to Multiply and Divide revision notes will also help them prepare for their exams in a better way.

The revision notes for Class 5 maths chapter 13 have been prepared by the learned experts at Vedantu. Using simple language and logical explanation, the notes have been designed to help students grasp the concept in an easy manner. Refer to these study materials and include them in your preparation to score high marks in examinations. The ways to Multiply and Divide summary will surely be of great help to students.

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## Access Class 5 Mathematics Chapter 13 - Ways to Multiply and Divide Notes

Multiplication

• Multiplication is a method to find result of addition of repeated numbers.

• Symbol used for multiplication is $\times$.

• Think addition of the same number, say 5, 2 times $5+5=10$ but you can do multiplication as $5\times 2=10$.

• But if you need to add 5 for 13 times then will you add them 13 times? No. Now you will prefer an alternative of addition that is nothing but multiplication. For Example, $5+5+5+5+5+5+5+5+5+5+5+5+5=65$ but when we multiply we have $5\times {13}=65$ (from the table 13).

• In multiplication, the multiplication table is very important to multiply 2 or more digits with another 2 or more digits number.

Multiplication table

• 1 to 10

 1 2 3 4 5 6 7 8 9 10 2 4 6 8 10 12 14 16 18 20 3 6 9 12 15 18 21 24 27 30 4 8 12 16 20 24 28 32 36 40 5 10 15 20 25 30 35 40 45 50 6 12 18 24 30 36 42 48 54 60 7 14 21 28 35 42 49 56 63 70 8 16 24 32 40 48 56 64 72 80 9 18 27 36 45 54 63 72 81 90 10 20 30 40 50 60 70 80 90 100

• 11 to 20

 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 32 34 36 38 40 33 36 39 42 45 48 51 54 57 60 44 48 52 56 60 64 68 72 76 80 55 60 65 70 75 80 85 90 95 100 66 72 78 84 90 96 102 108 114 120 77 84 91 98 105 112 119 126 133 140 88 96 104 112 120 128 136 144 152 160 99 108 117 126 135 144 153 162 171 180 110 120 130 140 150 160 170 180 190 200

Solved Example 1: Ram is earning ₹245 per day, how much will he earn in a week?

Ans: Here given that Ram is earning ₹245 in a day.

To find total earning in a week means in 7 days.

$245=200+40+5$

 200 40 5 7 $200\times 7=1400$ $40\times 7=280$ $5\times 7=35$

$245\times 7=1400+280+35=1715$

So, Ram will earn ₹1715 in a week.

Multiplication of Higher Numbers by Two methods

Method 1: To multiply 485 by 46, we will follow the following steps, 485=400+80+5 and 46=40+6

 400 80 5 40 $400\times 40=16000$ $80\times 40=3200$ $5\times 40=200$ 6 $400\times 6=2400$ $80\times 6=480$ $5\times 6=30$ Addition 18400 3680 230

$485\times 46=18400+3680+230=22310$
Method 2: To multiply 485 by 46, we will follow the following steps,

$~~~~~~~485\\\underline{~~~~\times 46~~}\\~~~~~~2910~~~~~~(485\times 6)\\~\underline{+19400}~~~~~~(485\times 40)\\\underline {~~~~22310}$

Solved Example 1: Multiply 698 by 25.

Ans: Here the given numbers are 698 and 25.

To multiply 698 by 25, we will follow the following steps, 698=600+90+8 and 25=20+5

 600 90 8 20 $600\times 20=12000$ $90\times 20=1800$ $8\times 20=160$ 5 $600\times 5=3000$ $90\times 5=450$ $8\times 5=40$ Addition 15000 2250 200

$698\times 25=15000+2250+200=17450$

Or, To multiply 698 by 25, we will follow the following steps,

$~~~~~~~698\\\underline{~~~~\times 25~~}\\~~~~~~3490~~~~~~(698\times 5)\\~\underline{+13960}~~~~~~(698\times 20)\\\underline {~~~~17450}$

Multiplication Creates Pattern

 $0\times 9+1=$ 1 $1\times 9+2=$ 11 $12\times 9+3=$ 111 $123\times 9+4=$ 1111 $1234\times 9+5=$ 11111 $12345\times 9+6=$ 111111 $123456\times 9+7=$ 1111111

Solved Example 1: Multiply 111 by 111.

Ans: given numbers are 111 and 111

$~~~~~~111\\~~~\underline{\times 111}\\~~~~~~111~~~~~~(111\times 1)\\+1110~~~~~~(111\times10)\\\underline{+11100}~~~~~~(111\times 100)\\\underline {~~~12321}$.

Isn’t it interesting?

Division

• Division is a method to find a number equal parts of a number.

• Symbol used for division is $\div$.

• Think of a number, let 36 and to divide it into 4 equal parts you will do it as $36=9+9+9+9=4\times 9$. Now we have $36\div 4=9$. Each equal part is 9.

• Now to divide 9786 by 6

$6~)9786(1000+600+30+1\\~\underline{-6000~}\\~~~~3786\\~\underline{-3600}\\~~~~~~186\\~~~\underline{-180}\\~~~~~~~~~~6\\~~~~~~~\underline{-6}\\~~~~~~~\underline{~~~0}$

$1000+600+30+1=1631$

Here we can rewrite 9786 as $1631\times 6 +0=9786$

• $\text{Divisor})\text{Dividend}(\text{Quotient}\\~~~~~~~~~~~\underline{-XXXXX~}\\~~~~~~~~~~~~~~\text{Remainder}\\$

Solved Example 1: Sonam has ₹500, she wants to purchase notebooks whose rate is ₹43 each. How many notebooks can she purchase?

Ans: Given that Sonam has ₹500. Rate of the notebook is ₹43 each.

To find $500\div 43$.

$43)500(10+1\\~~~\underline{-430~}\\~~~~~~~~70\\~~~~~\underline{-43}\\~~~~~~~~27$

Here, 11 notebooks she can purchase.

• In the above example you observe that at the end there is 27 instead of 0. It is called remainder.

• Again rewrite 500 as $11\times 43+27=473+27=500$

Multiplication and Division are related

• Multiplication and division are related to each other.

• If $a\times b=c$ then $c\div a=b$ or $c\div b=a$, where $a, b, c \neq0$.

• Multiple 951 by 14 then $951\times 14=13314$.

$~~~~~~~951\\\underline{~~~~\times 14~~}\\~~~~~~3804~~~~~~(951\times 4)\\~~~\underline{+9510}~~~~~~(951\times 10)\\\underline {~~~~13314}$

Now divide 13314 by 14 then $13314\div14=951$.

$14)13314(900+50+1\\~~~\underline{-12600~}\\~~~~~~~~~~714\\~~~~~~~\underline{-700}\\~~~~~~~~~~~~14\\~~~~~~~~~\underline{-14}\\~~~~~~~~~~~~~0$

Practice Problem

Question 1: Shibi has ₹800. She goes to the shop to purchase sweets which is ₹41 per kg. Answer the following,

1. How many kg of sweets can she buy?

2. How much money does she have left?

3. What is the total cost of sweets?

Question 2: Rate of one book is ₹237. Akash wants to buy 13 books. Answer the following,

1. How much money will he have left after buying 13 books if he has ₹3500?

2. What is the total cost of 13 books?

1. a) 19 kg

b) ₹21

c) ₹779

1. a) ₹419

b) ₹3081

## Importance of NCERT Class 5 Chapter 13 Revision Notes

Referring to Class 5 Chapter 13 revision notes will enable the students to finish the chapter much faster. There are different exercises included in the chapter which have been created to make the methods of multiplication and division easy and interesting for students. The importance of the Ways to multiply and divide class 5 notes can be explained in the following points.

• Students will get to learn different processes of multiplication for one, two, as well as three-digit numbers. This can help them in understanding the concepts of other equations and formulas.

• This chapter also teaches students the format for multiplication using columns. This format comes in handy when they have to multiply numbers having three digits with other big numbers.

• You can also learn the Part Multiplication format where two-digit numbers can easily be multiplied with numbers having single digits.

• Students will get to learn more about the division of numbers having 3-4 digits by any one-digit number and finding out the answer.

• The chapter also deals with different methodologies of division, one with remainder and one without the remainder. Careful study of the notes on ways to multiply and divide will help students understand both these methods of division.

• Students can also learn the long division as well as the short division methods which can help them in more advanced calculations in the future.

## Benefits of Revision Notes for NCERT Maths Class 5 Chapter 13

Students that have the ways to multiply and divide class 5 PDF can avail a plethora of benefits, some of which are mentioned below.

• The exercises and questions in the chapter and revision notes have been formulated by experts to make the process of learning multiplication and division easy and exciting for students.

• The language used by these experts is very simple and hence students will have no trouble grasping the concepts.

• This important chapter is filled with interesting questions that are logic-based. Thus, solving these questions and practicing with the notes will enable students to develop their thinking skills and time management abilities.

• The revision notes have been crafted by keeping in mind the CBSE standards and hence students can prepare for their exams using these notes.

Referring to the NCERT revision notes for Class 5 Chapter 13 Ways to Multiply and Divide will help students understand the chapter. So, if any questions come in the exam from this chapter, they will be able to solve them using the knowledge from these study materials. Download the NCERT revision notes for Class 5 Chapter 13 from Vedantu and that too for free.

## FAQs on Ways to Multiply and Divide Class 5 Notes CBSE Maths Chapter 13 [Free PDF Download]

1. Is Ways to Multiply and Divide an easy chapter?

For some students of Class 5, the chapter can be a bit difficult to grasp. Referring to the multiply and divide notes for class 5 will enable students to learn different methodologies for fast and easy multiplication as well as division.

2. How do I find the area of a field using multiplication?

The proper approach to solving this problem is to find the dimensions of the field i.e., the length and the breadth. Then the next thing to do is to multiply the length and breadth. The answer is the area of the field.

3. How often do I need to practice from Class 5 Chapter 13 revision notes?

The more you practice, the better it will be for you to grasp the concepts of the chapter easily.