Cbse Class 5 Maths Notes Chapter 13 Ways To Multiply And Divide

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

• 11 to 20

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.

$245=200+40+5$

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

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

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

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

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

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?

Answer:

1. a) 19 kg

b) ₹21

c) ₹779

2. 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.

Conclusion

For a deeper understanding of Class 5 Chapter 13 - 'Ways to Multiply and Divide,' trust Vedantu's revision notes. Expertly crafted by experienced educators, these notes simplify the complexities into digestible sections. They aid in mastering formulas, navigating questions swiftly, and efficient last-minute preparations. Immerse yourself in these notes for efficient study and a profound grasp of the subject. In Class 5 Maths Chapter 13, foundational arithmetic skills are developed, covering different multiplication and division methods, mastery of tables, and practical application of techniques. The chapter aims to equip students with essential mathematical abilities, instilling confidence in effective numerical operations. 

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