Class 6 Maths - ODISHA

The Other Side of Zero

The chapter 'The Other Side of Zero' introduces Class 6 students under the Odisha Board (BSE) to the fascinating world of negative numbers and integers. Until now, students only dealt with whole numbers and natural numbers starting from zero. This chapter teaches them that numbers also exist to the left of zero on the number line, representing values less than zero, such as debt, sub-zero temperatures, or depths below sea level. Understanding integers is crucial for higher mathematics and forms the foundation for algebra and coordinate geometry, frequently appearing in both formative and summative board assessments.

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Key Concepts

Negative Numbers

Numbers less than zero, denoted with a minus sign (like -1, -5), used to represent losses, debts, or temperatures below freezing.

Integers

The complete collection of all positive numbers, negative numbers, and zero, forming the set {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Number Line Representation

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

Opposite Numbers

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

Comparing and Ordering Integers

On a number line, numbers to the right are always greater than numbers to the left, meaning every positive number is greater than any negative number.

Important Formulas

Additive Inverse of a is -a
Positive Integer > Negative Integer
-(-a) = a

Board Exam Info

In the Odisha (BSE) Class 6 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include plotting integers on a number line, finding the opposite or additive inverse of a number, comparing two integers using greater than or less than symbols, and simple word problems based on real-life situations like temperature and profit/loss.

Frequently Asked Questions

Is zero a positive or a negative integer?

Zero is neither a positive nor a negative integer. It is neutral and acts as the starting point on the number line.

Which is greater: -5 or -2?

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

How do we add or subtract integers in Class 6?

For now, think of positive numbers as gains or amounts you have, and negative numbers as losses or debts you owe.

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