This chapter deals with the concepts of integers in details.
Introduction to CBSE Class 6 Mathematics Chapter "Integers"
In the chapter “Integers,” CBSE Class 6 students are introduced to a broader class of numbers which includes positive numbers, negative numbers, and zero. The chapter begins with the representation of integers on a number line and the concept of opposites or additive inverses. It then moves on to the rules of addition and subtraction of integers, highlighting how to deal with numbers in different signs.
Students also learn about the properties of integers, such as closure property, associative property, and the role of zero as the identity element for addition. The idea of absolute value is explained, teaching students how to determine the distance of an integer from zero on a number line, irrespective of its direction. Furthermore, the chapter discusses practical applications of integers in real-life situations like banking, temperature reading, sea level measurement, and more.
Assignments for CBSE Class 6 Mathematics Chapter “Integers”
- Number Line Mastery: Plot 10 different integers on a number line and label them as positive or negative.
- Adding Integers: Perform addition operations with pairs of positive and negative integers and verify the results using a number line.
- Subtraction Practice: Practice subtracting integers and use a number line to understand how the subtraction of a negative number is equivalent to addition.
- Real-world Applications: Identify and write about 5 instances where integers are used in real life, such as in elevators, temperatures, or sports.
- Problem Solving: Solve 10 different integer problems that involve finding the absolute value and comparing integers.
Conclusion Integers form the backbone of the number system, extending beyond the horizons of counting numbers into negative realms. The CBSE Class 6 Mathematics chapter “Integers” equips students with the knowledge to perform mathematical operations and understand the applications of these numbers in various aspects of everyday life.
"Preparing for the Class 6 exam? Notebook is your go-to resource for learning anytime, anywhere. With courses, docs, videos, and tests covering the complete syllabus, Notebook has the perfect solution for all your study needs. Join Notebook today to get everything you need in one place.
Questions and Answers for CBSE Class 6 Mathematics Chapter "Integers"
- Q1: What is an integer? ANS: An integer is any whole number from the set of negative and positive numbers, including zero.
- Q2: How are integers represented on a number line? ANS: Integers are represented on a number line with positive numbers to the right of zero and negative numbers to the left.
- Q3: What is the additive inverse of an integer? ANS: The additive inverse of an integer is the opposite number that, when added to the original number, results in zero.
- Q4: Can you explain the associative property of integers with an example? ANS: The associative property states that when adding or multiplying integers, the grouping of numbers does not affect the result. For example, (2 + 3) + 4 = 2 + (3 + 4).
- Q5: What does the absolute value of an integer represent? ANS: The absolute value of an integer represents its distance from zero on the number line, without considering direction.
- Q6: What is the identity element for addition in integers? ANS: Zero is the identity element for addition in integers because adding zero to any integer does not change its value.
- Q7: How is subtracting integers different from subtracting whole numbers? ANS: Subtracting integers can result in negative numbers, unlike subtracting whole numbers, where the result is always zero or positive.
- Q8: What role do integers play in reading temperatures? ANS: Integers are used to read temperatures, with positive numbers representing temperatures above zero and negative numbers for temperatures below zero.
- Q9: How does understanding integers help in the context of sea levels? ANS: Understanding integers helps to describe sea levels, with levels below sea level represented by negative integers and those above by positive integers.
- Q10: Why is it important to learn about integers in mathematics? ANS: Learning about integers is important because they are fundamental in mathematics, and they apply to many real-world scenarios, such as financial transactions, scientific measurements, and more.
