NCERT Exemplar Class 7 Maths Unit 1 Integers

Candidates can download NCERT Exemplar Class 7 Maths Unit 1 from this page. The exemplar has been provided by the National Council of Educational Research & Training (NCERT) and the candidates can check it from below for free of cost. It contains objective, very short answer type, short answer type, and long answer type questions. Along with it, the answer for each question has also been provided. From the NCERT Exemplar Class 7 Maths Unit 1, candidates can understand the level and type of questions that are asked in the exam.

NCERT Exemplar Class 7 Maths Unit 1 Integers

NCERT Class 7 Maths Unit 1 is for Integers. The type of questions that will be asked from NCERT Class 7 Maths Unit 1 are displayed in the below provided NCERT Exemplar Class 7 Maths Unit 1. With the help of it, candidates can prepare well for the examination.

Also Check: NCERT Solutions Class 7 Maths

Main Concepts and Results

Representation of integers on the number line and their addition and subtraction.

Properties of integers:

Integers are closed under addition, subtraction and multiplication.
Addition and multiplication are commutative for integers, i.e., a + b = b + a and a × b = b × a for any two integers a and b.
Addition and multiplication are associative for integers, i.e., (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c) for any three integers a, b and c.
Zero (0) is an additive identity for integers, i.e., a + 0 = 0 + a = a for any integer a.
1 is multiplicative identity for integers, i.e., a × 1 = 1 × a = a for any integer a.
Integers show distributive property of multiplication over addition, i.e., a × (b + c) = a × b + a × c for any three integers a, b and c.

Product of a positive integer and a negative integer is a negative integer, i.e, a × (–b) = – ab, where a and b are positive integers.

Product of two negative integers is a positive integer, i.e., (–a) × (–b) = ab, where a and b are positive integers.

Product of even number of negative integers is positive, where as the product of odd number of negative integers is negative, i.e.,

Solved Examples

Adding Integers

If the signs are the same	If the signs are different
Find the sum of the values of integers without sign, and then use the same sign as the integers have.	Find the difference of the values of integers without sign (subtract lower value integer from greater value integer) and then use the sign of the integer with the greater value.

Subtracting Integers:

Words	Numbers	Formula
To subtract an integer, add its inverse	3 – 7 = 3 + (–7) 5 – (–8) = 5 + 8	a – b = a + (–b) a – (– b) = a + b