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Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn integers, number line, addition, subtraction, multiplication, additive inverse, 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 to represent gains and losses, temperature changes, elevations, and many other real-life situations. A proper understanding of integers helps students solve mathematical problems effectively and builds a strong foundation for higher mathematics.
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 daily life. Understanding integer operations and their properties helps students improve logical reasoning and problem-solving skills.
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 lies exactly between:
$$-8$$
and
$$-6$$
on the number line?
A) $$-5$$
B) $$-7$$
C) $$-9$$
D) $$0$$
Answer:
$$-7$$
Useful Formula for this Question:
Integers increase from left to right on the number line.
Concept Behind This Question:
Students should locate integers on the number line.
Step-by-Step Solution:
The integers around the given numbers are:
$$-8,-7,-6$$
Therefore,
$$-7$$
lies exactly between
$$-8$$
and
$$-6$$
Hence, the correct answer is:
$$-7$$
Exam Tip:
Numbers on the right side of the number line are greater.
Q2. Evaluate:
$$(-40)+18$$
A) $$22$$
B) $$-22$$
C) $$58$$
D) $$-58$$
Answer:
$$-22$$
Useful Formula for this Question:
For integers with different signs, subtract their absolute values and keep the sign of the integer with the larger absolute value.
Concept Behind This Question:
Students should add integers correctly.
Step-by-Step Solution:
Given:
$$(-40)+18$$
Subtract the absolute values:
$$40-18=22$$
Since
$$40$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-40)+18=-22$$
Hence, the correct answer is:
$$-22$$
Exam Tip:
The sign of the larger absolute value determines the sign of the result.
Q3. Find the value of:
$$16-(-14)$$
A) $$2$$
B) $$30$$
C) $$-30$$
D) $$-2$$
Answer:
$$30$$
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:
$$16-(-14)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$16+14=30$$
Therefore,
$$16-(-14)=30$$
Hence, the correct answer is:
$$30$$
Exam Tip:
Subtracting a negative integer changes subtraction into addition.
Q4. What is the value of:
$$(-11)\times(-7)$$
A) $$-77$$
B) $$77$$
C) $$18$$
D) $$-18$$
Answer:
$$77$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$11\times7=77$$
Since both integers are negative, the product is positive.
Therefore,
$$(-11)\times(-7)=77$$
Hence, the correct answer is:
$$77$$
Exam Tip:
The product of two negative integers is always positive.
Q5. Which property is represented by:
$$7+0=7$$
A) Closure Property
B) Additive Identity
C) Associative Property
D) Commutative Property
Answer:
Additive Identity
Useful Formula for this Question:
$$a+0=a$$
Concept Behind This Question:
Students should identify identity properties.
Step-by-Step Solution:
Adding
$$0$$
to any integer does not change its value.
$$7+0=7$$
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 positive or negative?
No.
$$0$$
is neither positive nor negative.
3. What is the additive inverse of:
$$-45$$
?
The additive inverse is:
$$45$$
4. What is the sign of the product of two negative integers?
The product is positive.
$$(-)\times(-)=+$$
5. Which integer is smaller:
$$-12$$
or
$$-4$$
?
Since
$$-12<-4$$
therefore,
$$-12$$
is smaller.
Common Mistakes
❌ Ignoring negative signs while calculations.
❌ Confusing additive inverse with subtraction.
❌ Treating zero as a positive number.
❌ Applying multiplication sign rules incorrectly.
❌ Assuming subtraction is commutative.
Quick Revision Notes
✔ Integers include positive numbers, negative numbers, and zero.
✔ 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.
$$(-)\times(-)=+$$
✔ Zero is neither positive nor negative.
Conclusion
Integers is an important chapter in Class 7 Mathematics. Understanding integer operations and their properties helps students build strong mathematical concepts and perform well in examinations. Regular MCQ practice improves speed, accuracy, and conceptual understanding.
Related links
- Class 7 Maths Chapter 1 Integers, number line, subtraction
- Class 7 Maths Chapter 1 Integers additive inverse
- 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 Chapter 1 Integers-subtraction-multiplication
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