NCERT Solutions Class 3 Maths Chapter 12

NCERT Solutions For Class 3 Mathematics Chapter 12

Students can now easily find NCERT Solutions For Class 3 Mathematics Chapter 12 on Extramarks. Our experienced teachers and subject matter experts have devised these solutions keeping in mind all guidelines of the CBSE syllabus and curriculum. The chapter, Can We Share, Class 3 comes with a list of questions for children to solve. 

Since Mathematics relies on problem-solving and reasoning rather than memorising , by trying to solve these questions, students delve deeper into the topic and sharpen their acumen in the subject. Extramarks makes the problem-solving process explanatory by giving detailed step by step answers that further strengthen their hold on the subject and benefit the child. Also, as these explanations are fairly simple to understand, students tend to study it with more enthusiasm. 

NCERT Solutions for Class 3 Mathematics Chapter 12 – Can We Share?

Access NCERT Solutions for Class 3 Mathematics Chapter 12 – Can We Share?

NCERT Solutions for Class 3 Mathematics Chapter 12 Can We Share?

Since division is one of the four fundamental basics of Mathematical operations, the Class 3 Mathematics Chapter 12 is the foundation stone for solving more complex Mathematical problems in later years. A thorough understanding of this concept is therefore very important for students. The solutions provided by Extramarks will assist the child not only in getting the accurate answer to a problem but also in pinpointing their mistakes so they can be rectified and prevented in future. This type of thorough learning instils confidence in the child to solve problems independently.

Chapter 12 Can We Share? explains the concept of division through the process of sharing. For example, if we have 10 pieces of candies and wish to divide them equally among 5 people then how does one proceed? In this case, we need to offer 2 pieces to each person for an equal division, i.e., 10 candies divided by 5 persons = 2 candies per person. By doing so we are sharing or dividing the candies equally amongst all.

Division is represented by the symbol ‘÷ ‘and involves sharing or splitting something.

Let us elaborate on the concept using a simple example.

If 48 oranges are to be packed in 6 boxes then how many oranges would go in each bag?

Mathematically this will be written as 48 ÷ 6 = 8. That is 8 oranges in each box.

Now coming to the method through which we arrived at this answer:

Here we have 48 oranges which we have divided into 6 boxes. This means 48 is the dividend or the number to be divided. And 6 is the divisor or the number used to divide the dividend. The number that we get after dividing is called the quotient, in this case, 8.

Why Do We Divide by Six Boxes?

To understand this let us turn to multiplication. We are aware that 6×8 = 48. In this case, 6 and 8 are called factors of 48, while 48 is referred to as the multiple. Whenever a multiple is divided by a factor, the answer is the other factor. So, in a way, we will be right in saying that division is the opposite of multiplication.         

This also means that a knowledge of tables is essential in order to be quick in solving division problems. Knowing the tables is of big help in making division problem solving faster and easier.

Other Ways of Distribution

There are more ways to divide the oranges into boxes. The oranges can be divided into 3 equal parts or 4 equal parts or 8 equal parts too. If we do this, the number of boxes required will change. Let us see how many boxes will be needed depending on the new distribution:

–     For dividing into 3 equal parts we will need 16 boxes (48 ÷ 3 = 16)

–     For dividing into 4 equal parts we will need 12 boxes (48 ÷ 4 = 12)

–     For dividing into 8 equal parts we will need 6 boxes (48 ÷ 8 = 6)

–     Guess how many boxes will be needed for dividing into 12 equal parts?

The answer is 4 boxes. (48 ÷ 12 = 4)

Conclusion

The concept of division as elaborated in the chapter Can We Share? forms a building block of Mathematics. As stated earlier, division is one of the four fundamental basics of Mathematical operations, the others being addition, multiplication, and subtraction. By strengthening the child’s knowledge of division, we pave the way for stronger numeracy skills. Not only is this useful in grasping tougher problems in the higher classes, division also forms an essential component of day-to-day life. Children learn to distribute and allot accurately which helps them in their day to day life. It is therefore a vital topic that requires immense attention for a proper understanding. By referring to the NCERT Solutions for Class 3 Mathematics Chapter 12 by Extramarks, students are sure to excel in the topic.

FAQs (Frequently Asked Questions)

Division means distributing something into equal parts. It involves dividing or splitting a larger group into smaller groups.

Dividend is the term used to describe the number that is being divided, while divisor refers to the number that it is being divided by.

In 45 ÷ 9 = 5, 45 is the dividend and 9 is the divisor. The answer that we get after dividing is the quotient.

At Extramarks’ aim is to build a strong foundation for students and strenghthen their understanding of a topic. The solutions to the chapter ‘Can We Share?’ have been designed by subject experts who have years of experience in making learning simpler and more interesting for students of all calibres. All concepts related to the topic have been explained in a stepwise manner so that the student is aware of the reasoning behind each solution, and how to get to the right answer.

The Chapter is an introduction to the concept of division. Plenty of examples and activities have been used to familiarise students with this key Mathematical concept. By understanding how to split things equally one learns allotment and distribution. This comes in handy in miscellaneous day to day activities like dividing time to make a timetable or in handling money. Thus, this chapter not only prepares the child for cracking complex problems in higher classes but also equips them with everyday skills.

Since division forms a key concept in Mathematics it is important that the child grasps the topic without finding it boring. In order to do so, one can adopt any or all of the following methods:

– By using physical objects to learn the concept 

Provide a few boxes/bags to kids and give them some articles like beads, fruits, candies etc. to divide equally in the boxes. This game offers excellent stimulation for the children and makes learning fun.

–   By designing colourful worksheets 

Make your own worksheets that are drawn from the child’s surroundings and daily life. Adding this personal touch makes them even more fun and relatable, thus capturing the child’s attention.

–  Devise games for children which involve basic learning of divisions 

Educational games are amongst the best ways to teach new topics to children.

While the core concept of division is fairly easy to comprehend, the learning speed will vary from child to child. To ensure that the child finds the chapter easy it is important to attend classes and pay attention to the lectures. Revision plays an important part in speeding up the comprehension process. Since Mathematics is not about mugging up but understanding the concepts, daily practice is of crucial importance. By solving the NCERT questions and puzzles the child can easily ace this topic. Another helpful idea is to memorise multiplication tables to be able to solve division problems.