## RS Aggarwal Solutions Class 6 Chapter-4 Integers (Ex 4D) Exercise 4.4 - Free PDF

## FAQs on RS Aggarwal Solutions Class 6 Chapter-4 Integers (Ex 4D) Exercise 4.4

**1. What do you mean by an integer? **

Integers are numbers that can be either positive or negative in value without any fraction or decimal in it. Basically they are natural numbers. Addition, subtraction and multiplication of integers always give the outcome in integers. However division of integers may sometimes give fractions or decimals and they cannot be called integers. Integers include a vast arena of numbers including whole numbers, negative values of whole numbers. Only fractions, decimals and those square roots or cube roots which cannot be expressed as whole numbers cannot be called integers.

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**2. What is the role of integers in daily life?**

Integer is the most fundamental mathematical tool with which any quantity needed in the day-to-day world can be expressed. Almost anything in the real world needs a numerical value to express itself be it time, rank, date, currency and anything that one can think of. Hence without integer nothing can be expressed in mathematics or quantitative real world. Students need integers to assess their position in class or count their friends or books. Addition, subtraction and multiplication of integers is easy to even calculate many real-world things verbally or mentally. Concept of integers needs to be started from elementary classes. Many Class 6 students are expected to have some basic concepts before they start their Class 6 level study for integers.

**3. What is a good non-academic book on the concept of integers?**

Reading few books other than the academic books prescribed in the syllabus of a particular board often makes the subject and topic not only interesting but also prevents the students from any sort of distraction. One such book a Class 6 student can start with is “God created the integers” written by Stephen Hawking. The book was published in 2005 and has attracted the attention of good readers and students. The book involves the work of great mathematicians in an easy way revolving around the concept of integers.

**4. What are the rules of integers for Class 6?**

The important rules that a Class 6 student should follow in computing with integers can be chalked out as follows:

Variety of numbers included in the set of integers

Concept of Integers should run parallel with the idea of Number line

Addition rule: Two integers of the same sign when added should have the sum of the two numbers and have the same sign as the original numbers.

Subtraction rule: Subtraction between two integers means addition of the opposite of one integer to the original integer. Two negatives get cancelled in this process.

Multiplication rule: Two positive integers when multiplied to each other always give a positive number while two negative integers upon multiplication will give a positive number, multiplying one positive integer with one negative integer will always give a negative integer.

Division rule: Dividing one positive integer with another positive integer will give a positive integer, dividing one negative integer with another negative integer will also give one positive integer. However, dividing one positive or negative integer with another integer of opposite sign will give a negative integer.

**5. How to build the concepts in integers?**

Integer is such a topic that even practicing some day-to-day affairs can teach the students the topic of integers. These ways are the best to make everlasting concepts in their minds. Games like card games, online car racing games or even online cricket and football games help the students to make use of integers and grow concepts in integers. Integer mazes and interactive books using integers often make the study of this topic fun among students and anything they learn in this way makes the concept sound and solid. Teachers may conduct occasional quizzes using the concept of integers to develop concepts among the Class 6 students. Practicing addition, subtraction and multiplication puzzles on whiteboards with integers can be a fun game to study the concepts of integers.

Learning integers in this way will make a strong mathematical foundation for many hard topics of maths in future higher classes and the students at that time will find the topics much easier to grasp.