Class 6 Maths - HARYANA

The Other Side of Zero

The chapter 'The Other Side of Zero' in Class 6 Mathematics introduces students to negative numbers and integers, moving beyond whole numbers. Students learn about the number line extending to the left of zero, opposite numbers, and how to represent real-life situations like temperatures below freezing, debts, and depths below sea level using negative signs. This chapter is vital for the Haryana (BSEH) board exams as it builds the foundational understanding of arithmetic operations with signed numbers, which is heavily tested in various word problems and numerical simplification questions in subsequent classes.

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Key Concepts

Integers

The collection of all whole numbers and negative numbers, written as {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Negative Numbers

Numbers less than zero, denoted with a minus sign (e.g., -5), used to represent values below a reference point.

Number Line Representation

A straight line with zero in the middle, positive numbers on the right, and negative numbers on the left.

Opposite Numbers

Numbers that are the same distance from zero in opposite directions, such as +5 and -5.

Comparison of Integers

Every positive integer is greater than every negative integer, and on the number line, a number to the right is always greater than the one to its left.

Important Formulas

Opposite of integer 'a' is '-a'
Absolute value |a| represents the distance of a from zero, which is always positive
Successor of integer a is a + 1
Predecessor of integer a is a - 1

Board Exam Info

In the Haryana (BSEH) Class 6 Mathematics exams, this chapter typically carries around 4 to 6 marks. Common question types include representing real-life situations with integers, marking numbers on a number line, comparing two integers using >, <, or =, and finding opposites or absolute values.

Frequently Asked Questions

Is zero a positive or a negative integer?

Zero is neither positive nor negative; it is a neutral integer that acts as the starting point on the number line.

Which is greater, -2 or -5?

-2 is greater than -5 because on the number line, -2 lies to the right of -5.

How do we write a profit of 50 rupees and a loss of 50 rupees using integers?

A profit of 50 rupees is written as +50, and a loss of 50 rupees is written as -50.

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