Welcome To My School Study
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.
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 temperatures, elevations, profits and losses, and many real-life situations. Understanding integers develops logical reasoning and creates 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. A clear understanding of integers and their properties helps students solve mathematical problems accurately and efficiently.
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 12 units to the left of:
$$0$$
on the number line?
A) $$12$$
B) $$-12$$
C) $$0$$
D) $$1$$
Answer:
$$-12$$
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 12 units to the left gives:
$$-12$$
Therefore, the required integer is:
$$-12$$
Hence, the correct answer is:
$$-12$$
Exam Tip:
Negative integers lie to the left of zero on the number line.
Q2. Evaluate:
$$(-45)+19$$
A) $$26$$
B) $$-26$$
C) $$64$$
D) $$-64$$
Answer:
$$-26$$
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 perform addition of integers correctly.
Step-by-Step Solution:
Given:
$$(-45)+19$$
Subtract the absolute values:
$$45-19=26$$
Since
$$45$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-45)+19=-26$$
Hence, the correct answer is:
$$-26$$
Exam Tip:
The sign of the larger absolute value determines the sign of the answer.
Q3. Find the value of:
$$-18-(-15)$$
A) $$-3$$
B) $$3$$
C) $$33$$
D) $$-33$$
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:
$$-18-(-15)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$-18+15=-3$$
Therefore,
$$-18-(-15)=-3$$
Hence, the correct answer is:
$$-3$$
Exam Tip:
Subtracting a negative integer changes subtraction into addition.
Q4. What is the value of:
$$(-16)\times(-8)$$
A) $$-128$$
B) $$128$$
C) $$24$$
D) $$-24$$
Answer:
$$128$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$16\times8=128$$
Since both integers are negative, the product is positive.
Therefore,
$$(-16)\times(-8)=128$$
Hence, the correct answer is:
$$128$$
Exam Tip:
The product of two negative integers is always positive.
Q5. Which property is represented by:
$$4+6=6+4$$
A) Associative Property
B) Commutative Property of Addition
C) Closure Property
D) Additive Identity
Answer:
Commutative Property of Addition
Useful Formula for this Question:
$$a+b=b+a$$
Concept Behind This Question:
Students should identify properties of integers.
Step-by-Step Solution:
The order of the integers changes, but the sum remains the same.
$$4+6=10$$
and
$$6+4=10$$
Thus,
$$4+6=6+4$$
represents the commutative property of addition.
Hence, the correct answer is:
Commutative Property of Addition
Exam Tip:
Changing the order of addition does not change the sum.
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:
$$27$$
?
The additive inverse is:
$$-27$$
4. What is the sign of the product of integers with different signs?
The product is negative.
$$(+)\times(-)=-$$
5. Which integer is greater:
$$-7$$
or
$$-13$$
?
Since
$$-7>-13$$
therefore,
$$-7$$
is greater.
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 a fundamental chapter in Class 7 Mathematics. Understanding integer operations and properties helps students solve mathematical problems efficiently and build a strong foundation for higher mathematics. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
- Class 7 Maths Chapter 1 Integers
- 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
- Class 7 Science: Soil Conservation, Deforestation & Wastewater Story
Latest Posts
- Class 7 Maths Chapter 3 Data Handling
- Class 9 Maths Chapter 3 Coordinate Geometry
- Class 10 Maths Chapter 3 Pair of Linear Equations in Two
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
- Class 7 Maths Chapter 3 Data Handling, data collection
Join Our Other Communities
Instagram , Youtube , Facebook
