Welcome To My School Study
Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn number line, addition, subtraction, multiplication, additive inverse, and properties of integers with detailed solutions for CBSE exams.
Do You Know
Chapter Information
Subject: Mathematics
Class: 7
Chapter: Integers
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate to Difficult
Based On: NCERT Latest Syllabus
Introduction:
Integers are numbers that include positive numbers, negative numbers, and zero. They help us represent quantities such as profit and loss, temperature, and elevation. Understanding integers is essential for developing strong mathematical skills and preparing for advanced concepts in algebra.
What You Will Learn?
✔ Positive Integers
✔ Negative Integers
✔ Number Line Representation
✔ Addition of Integers
✔ Subtraction of Integers
✔ Multiplication of Integers
✔ Additive Inverse
✔ Properties of Integers
Why This Topic Is Important?
Integers are widely used in mathematics and real-life situations. Learning integer operations improves logical thinking, calculation speed, and problem-solving abilities.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. Which integer is represented by moving 9 units to the left of:
$$0$$
on the number line?
A) $$9$$
B) $$-9$$
C) $$0$$
D) $$1$$
Answer:
$$-9$$
Useful Formula for this Question:
Integers to the left of zero on the number line are negative.
Concept Behind This Question:
Students should identify integers on the number line.
Step-by-Step Solution:
Starting from
$$0$$
and moving 9 units to the left gives:
$$-9$$
Therefore, the required integer is:
$$-9$$
Hence, the correct answer is:
$$-9$$
Exam Tip:
Numbers on the left side of zero are negative integers.
Q2. Evaluate:
$$(-28)+13$$
A) $$15$$
B) $$-15$$
C) $$41$$
D) $$-41$$
Answer:
$$-15$$
Useful Formula for this Question:
For integers with different signs, subtract their absolute values and keep the sign of the integer with the greater absolute value.
Concept Behind This Question:
Students should perform addition of integers with unlike signs.
Step-by-Step Solution:
Given:
$$(-28)+13$$
Subtract the absolute values:
$$28-13=15$$
Since
$$28$$
has the greater absolute value and is negative, the result is negative.
Therefore,
$$(-28)+13=-15$$
Hence, the correct answer is:
$$-15$$
Exam Tip:
The sign of the integer with the greater absolute value determines the sign of the result.
Q3. Find the value of:
$$14-(-12)$$
A) $$2$$
B) $$26$$
C) $$-26$$
D) $$-2$$
Answer:
$$26$$
Useful Formula for this Question:
$$a-(-b)=a+b$$
Concept Behind This Question:
Students should understand subtraction of negative integers.
Step-by-Step Solution:
Given:
$$14-(-12)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$14+12=26$$
Therefore,
$$14-(-12)=26$$
Hence, the correct answer is:
$$26$$
Exam Tip:
Subtracting a negative integer changes subtraction into addition.
Q4. What is the value of:
$$(-15)\times6$$
A) $$90$$
B) $$-90$$
C) $$21$$
D) $$-21$$
Answer:
$$-90$$
Useful Formula for this Question:
$$(-)\times(+)=-$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$15\times6=90$$
Since the signs are different, the product is negative.
Therefore,
$$(-15)\times6=-90$$
Hence, the correct answer is:
$$-90$$
Exam Tip:
The product of integers with unlike signs is always negative.
Q5. Which property is represented by:
$$9+(-9)=0$$
A) Additive Inverse
B) Associative Property
C) Closure Property
D) Commutative Property
Answer:
Additive Inverse
Useful Formula for this Question:
$$a+(-a)=0$$
Concept Behind This Question:
Students should understand additive inverse.
Step-by-Step Solution:
The integers
$$9$$
and
$$-9$$
are opposite integers.
Their sum is:
$$9+(-9)=0$$
Thus,
$$-9$$
is the additive inverse of
$$9$$
Hence, the correct answer is:
Additive Inverse
Exam Tip:
Every integer has an additive inverse whose sum with it is zero.
Important Formulas & Concepts
1. Set of Integers
$$\ldots,-3,-2,-1,0,1,2,3,\ldots$$
2. Additive Inverse
$$a+(-a)=0$$
3. Subtraction of Integers
$$a-b=a+(-b)$$
4. Multiplication Rules
$$(+)\times(+)=+$$
$$(-)\times(-)=+$$
$$(+)\times(-)=-$$
$$(-)\times(+)=-$$
5. Additive Identity
$$a+0=a$$
6. Multiplicative Identity
$$a\times1=a$$
7. Commutative Property of Addition
$$a+b=b+a$$
8. Associative Property of Addition
$$(a+b)+c=a+(b+c)$$
FAQs
1. What are integers?
Integers include positive numbers, negative numbers, and zero.
$$\ldots,-2,-1,0,1,2,\ldots$$
2. Is zero positive or negative?
No.
$$0$$
is neither positive nor negative.
3. What is the additive inverse of:
$$-18$$
?
The additive inverse is:
$$18$$
4. What happens when a positive integer is multiplied by a negative integer?
The product is negative.
$$(+)\times(-)=-$$
5. Which integer is greater:
$$-5$$
or
$$-11$$
?
Since
$$-5>-11$$
therefore,
$$-5$$
is greater.
Common Mistakes
❌ Ignoring negative signs while calculations.
❌ Treating zero as a positive integer.
❌ Confusing additive inverse with subtraction.
❌ Applying multiplication sign rules incorrectly.
❌ Assuming subtraction is commutative.
Quick Revision Notes
✔ Integers include positive numbers, negative numbers, and zero.
✔ Zero is neither positive nor negative.
✔ Opposite integers are additive inverses.
$$a+(-a)=0$$
✔ Subtraction can be converted into addition.
$$a-b=a+(-b)$$
✔ The product of unlike signs is negative.
$$(+)\times(-)=-$$
Conclusion
Integers is one of the most important chapters in Class 7 Mathematics. Understanding integer operations and properties helps students solve mathematical problems efficiently and prepares them for higher mathematics. Regular MCQ practice improves conceptual understanding, speed, and accuracy in examinations.
Related links
- Class 7 Maths Chapter 1 Integers, additive inverse
- Class 7 Maths Chapter 1 Integers additive inverse
- Class 7 Maths Chapter 1 Integers additive, properties
- Class 7 Maths Chapter 1 Integers,subtraction, multiplication
- Class 7 Maths Chapter 1 Integers, operations on integers
- Class7 Maths Chapter1 positive and negative integers
- NCERT Class 7 Maths Chapter 1 Integers,addition, subtraction
- Class7 Maths Chapter 1 Integers-subtraction-multiplication
- Class 7 Science: Soil Conservation, Deforestation & Wastewater Story
Latest Posts
- Class 7 Maths Chapter 1 Integers, number line, subtraction
- Class 8 Maths additive inverse, multiplicative inverse MCQ
- Class 9 Maths Chapter 1 Number Systems laws of exponents
- Class 10 Maths Chapter 2 Polynomials MCQ linear polynomial
- Class 10 Maths Chapter 2 Polynomials, linear polynomial
Join Our Other Communities
Instagram , Youtube , Facebook
