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Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn positive and negative integers, number line, addition, subtraction, multiplication, and properties of integers with detailed solutions for CBSE exams.
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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 whole numbers that include positive numbers, negative numbers, and zero. They are used in daily life to represent temperatures, profits and losses, elevations, and financial transactions. A strong understanding of integers helps students solve mathematical problems efficiently and prepares them for higher studies.
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 form the basis of many mathematical concepts. Understanding their properties and operations improves logical reasoning and helps students solve real-life problems involving positive and negative quantities.
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 of the following integers is the greatest?
A) $$-12$$
B) $$-7$$
C) $$-3$$
D) $$-15$$
Answer:
$$-3$$
Useful Formula for this Question:
On a number line, the integer on the right is greater.
Concept Behind This Question:
Students should compare negative integers correctly.
Step-by-Step Solution:
Among negative integers, the number closer to zero is greater.
We know that:
$$-3>-7>-12>-15$$
Therefore, the greatest integer is:
$$-3$$
Hence, the correct answer is:
$$-3$$
Exam Tip:
Among negative integers, the number with the smaller absolute value is greater.
Q2. Evaluate:
$$(-16)+(-9)$$
A) $$25$$
B) $$-25$$
C) $$7$$
D) $$-7$$
Answer:
$$-25$$
Useful Formula for this Question:
$$(-a)+(-b)=-(a+b)$$
Concept Behind This Question:
Students should add negative integers correctly.
Step-by-Step Solution:
Given:
$$(-16)+(-9)$$
Add the absolute values:
$$16+9=25$$
Since both integers are negative,
$$(-16)+(-9)=-25$$
Hence, the correct answer is:
$$-25$$
Exam Tip:
The sum of two negative integers is always negative.
Q3. Find the value of:
$$-11-(-8)$$
A) $$-3$$
B) $$3$$
C) $$19$$
D) $$-19$$
Answer:
$$-3$$
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:
$$-11-(-8)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$-11+8=-3$$
Therefore,
$$-11-(-8)=-3$$
Hence, the correct answer is:
$$-3$$
Exam Tip:
Subtracting a negative integer changes the operation to addition.
Q4. What is the value of:
$$(-13)\times(-4)$$
A) $$-52$$
B) $$52$$
C) $$17$$
D) $$-17$$
Answer:
$$52$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$13\times4=52$$
Since both integers are negative, the product is positive.
Therefore,
$$(-13)\times(-4)=52$$
Hence, the correct answer is:
$$52$$
Exam Tip:
The product of two negative integers is always positive.
Q5. Which property is represented by:
$$5+0=5$$
A) Multiplicative Identity
B) Additive Identity
C) Associative Property
D) Closure Property
Answer:
Additive Identity
Useful Formula for this Question:
$$a+0=a$$
Concept Behind This Question:
Students should identify identity properties of integers.
Step-by-Step Solution:
Adding
$$0$$
to any integer does not change its value.
$$5+0=5$$
Therefore,
$$0$$
is called the additive identity.
Hence, the correct answer is:
Additive Identity
Exam Tip:
Zero is the additive identity for integers.
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 a positive integer?
No.
$$0$$
is neither positive nor negative.
3. What is the additive inverse of:
$$24$$
?
The additive inverse is:
$$-24$$
4. What is the sign of the product of two negative integers?
The product is positive.
$$(-)\times(-)=+$$
5. Which integer is greater:
$$-2$$
or
$$-9$$
?
Since
$$-2>-9$$
therefore,
$$-2$$
is greater.
Common Mistakes
❌ Ignoring negative signs while calculations.
❌ Confusing additive inverse with subtraction.
❌ Treating zero as a positive number.
❌ Applying multiplication 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 two negative integers is positive.
$$(-)\times(-)=+$$
Conclusion
Integers is an important chapter in Class 7 Mathematics that helps students understand positive and negative numbers and their operations. A clear understanding of integers builds a strong foundation for algebra and 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
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- Class7 Maths Chapter1 positive and negative integers
- NCERT Class 7 Maths Chapter 1 Integers,addition, subtraction
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