NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 - FREE PDF Download
NCERT Class 7 Maths Exercise 1.1 Solutions provided by Vedantu are designed to help students understand and practice the concepts of integers simply and effectively. This exercise focuses on fundamental operations with integers, such as addition and subtraction. Vedantu's solutions break down each problem step-by-step, making it easier for students to follow along and grasp the methods used.
Class 7 Maths Chapter 1 Exercise 1.1 Solutions pdf is aligned with the NCERT textbook, to make sure that students get accurate and reliable guidance. By using these solutions, students can reinforce their understanding, clear up any doubts, and build a strong foundation in working with integers. To boost your exam preparations, you can download the FREE PDF for NCERT Solutions for Class 7 Maths from Vedantu’s website.
Glance on NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 | Vedantu
Class 7 Maths Chapter 1.1 introduces the multiplication of Integers.
Multiplying a positive integer with a negative integer results in a negative integer.
Multiplying a negative integer with a negative integer results in a positive integer.
Multiplying a positive integer with a positive integer results in a positive integer.
Properties of Multiplication of Integers
Commutative Property is $a \times b = b \times a$ for any integers a,b
Identity Property is $ 1 \times a = a \times 1 = a$ for any integer a.
Associative Property is $ \left ( a \times b \right )\times c = a \times \left ( b \times c \right )$
Distributive Property is $a \times \left ( b+c \right ) = a \times b + a \times c$
Class 7 Exercise 1.1 contains 4 fully solved questions that helps to learn about Integers.
FAQs on NCERT Solutions for Class 7 Maths Chapter 1 Exercise 1.1 - Integers
1. How do you represent integers on a number line?
Positive integers are placed to the right of zero on a number line, and negative integers are placed to the left of zero. The farther a number is from zero, the larger its absolute value (ignoring the negative sign).
2. What are the rules for adding and subtracting integers?
Adding integers: If both numbers have the same sign, add their absolute values and keep the sign. If they have different signs, subtract their absolute values and keep the sign of the number with the larger absolute value.
Subtracting integers: To subtract an integer, add its opposite. This means change the sign of the number being subtracted and then add as usual.
3. How do you multiply and divide integers?
Multiplying integers: Multiply the numbers as usual and then determine the sign:
If both integers have the same sign (both positive or both negative), the product is positive.
If the integers have different signs, the product is negative.
Dividing integers: Divide the numbers as usual and then determine the sign:
If both integers have the same sign (both positive or both negative), the quotient is positive.
If the integers have different signs, the quotient is negative.
4. What is Class 7 Integers Exercise 1.1 is about?
Exercise 1.1 in the Integers chapter typically introduces students to basic concepts such as understanding integers, their representation on a number line, and comparing integers.
5. What are opposites or additive inverses of integers?
The opposite (or additive inverse) of an integer is another integer that, when added to the original integer, gives zero. For example, the opposite of 5 is -5, and vice versa.