Class 7 Mathematics: Chapter 1 – Integers
Chapter 1: Integers
What are integers?
Integers are whole numbers that can be positive, negative, or zero. They are represented as {…, -3, -2, -1, 0, 1, 2, 3, …}.
How do we perform operations with integers?
Operations with integers include addition, subtraction, multiplication, and division, which follow specific rules based on their signs (positive or negative).
What is the number line?
A number line is a straight line that represents numbers in a linear order. It helps visualize integer operations by placing integers at equal intervals on the line.
How do we compare integers?
Integers can be compared using the number line; the integers on the right are greater than those on the left. For example, -1 is greater than -2.
What are the properties of addition of integers?
The properties of addition of integers include commutative (a + b = b + a), associative (a + (b + c) = (a + b) + c), and the existence of an identity element (a + 0 = a).
What are the properties of multiplication of integers?
The properties of multiplication of integers include commutative (a × b = b × a), associative (a × (b × c) = (a × b) × c), and the existence of an identity element (a × 1 = a).
