Class 6 Maths - ICSE

Negative Numbers and Integers

In the chapter 'Negative Numbers and Integers' for Class 6 ICSE, students are introduced to numbers below zero, extending the number system beyond whole numbers. The chapter covers the concept of integers, representing real-life situations like temperatures and financial transactions using positive and negative signs, ordering and comparing integers, and locating them on a number line. Students also learn the rules for addition and subtraction of integers. This chapter forms the foundational bedrock for algebra and coordinate geometry in later ICSE board exams, typically carrying 6 to 8 marks in school assessments.

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Key Concepts

Natural Numbers and Whole Numbers

Natural numbers are counting numbers (1, 2, 3...) and whole numbers include zero along with natural numbers (0, 1, 2, 3...).

Negative Numbers

Numbers less than zero, denoted with a minus sign (like -1, -2, -3), used to represent losses, depths below sea level, or freezing temperatures.

Integers

The collection of all whole numbers and negative numbers together (-3, -2, -1, 0, 1, 2, 3), forming the set of integers.

Number Line Representation

A visual straight line where zero is in the middle, positive integers are to the right, and negative integers are to the left.

Additive Inverse

The opposite of a number that, when added to the original number, results in zero (for example, the additive inverse of +5 is -5).

Important Formulas

Opposite of a number a is -a
Positive integer + Positive integer = Positive sum
Negative integer + Negative integer = Negative sum
a + (-a) = 0

Board Exam Info

In ICSE Class 6 Mathematics, this chapter usually carries around 6 to 8 marks. Common question types include plotting integers on a number line, comparing and ordering integers using symbols (< or >), finding the sum or difference of integers, and solving word problems based on temperature or elevation.

Frequently Asked Questions

Is zero a positive or negative integer?

Zero is neither positive nor negative. It is a neutral integer.

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 larger.

How do we subtract two integers?

To subtract an integer, we add its additive inverse (opposite sign) to the first number.

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