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 gains and losses, temperature changes, elevations, and various real-life situations. Understanding integers develops logical reasoning and builds a strong foundation for algebra and 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 everyday life. A strong understanding of integer operations helps students solve problems efficiently and prepares them for advanced mathematical concepts.
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:
$$2$$
and
$$4$$
on the number line?
A) $$1$$
B) $$3$$
C) $$5$$
D) $$0$$
Answer:
$$3$$
Useful Formula for this Question:
Integers increase from left to right on the number line.
Concept Behind This Question:
Students should identify integers on the number line.
Step-by-Step Solution:
The integers around the given numbers are:
$$2,3,4$$
Therefore,
$$3$$
lies exactly between
$$2$$
and
$$4$$
Hence, the correct answer is:
$$3$$
Exam Tip:
Numbers on the right side of the number line are greater.
Q2. Evaluate:
$$(-50)+24$$
A) $$26$$
B) $$-26$$
C) $$74$$
D) $$-74$$
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:
$$(-50)+24$$
Subtract the absolute values:
$$50-24=26$$
Since
$$50$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-50)+24=-26$$
Hence, the correct answer is:
$$-26$$
Exam Tip:
The sign of the larger absolute value determines the sign of the result.
Q3. Find the value of:
$$22-(-18)$$
A) $$4$$
B) $$40$$
C) $$-40$$
D) $$-4$$
Answer:
$$40$$
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:
$$22-(-18)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$22+18=40$$
Therefore,
$$22-(-18)=40$$
Hence, the correct answer is:
$$40$$
Exam Tip:
Subtracting a negative integer changes subtraction into addition.
Q4. What is the value of:
$$(-18)\times(-9)$$
A) $$-162$$
B) $$162$$
C) $$27$$
D) $$-27$$
Answer:
$$162$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$18\times9=162$$
Since both integers are negative, the product is positive.
Therefore,
$$(-18)\times(-9)=162$$
Hence, the correct answer is:
$$162$$
Exam Tip:
The product of two negative integers is always positive.
Q5. Which property is represented by:
$$(3+5)+7=3+(5+7)$$
A) Commutative Property
B) Associative Property
C) Closure Property
D) Additive Identity
Answer:
Associative Property
Useful Formula for this Question:
$$(a+b)+c=a+(b+c)$$
Concept Behind This Question:
Students should identify properties of integers.
Step-by-Step Solution:
Only the grouping of numbers changes, not their order.
$$(3+5)+7=8+7=15$$
$$3+(5+7)=3+12=15$$
Since both sides are equal, the expression represents the associative property.
Hence, the correct answer is:
Associative Property
Exam Tip:
Associative property changes grouping but not the order of numbers.
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:
$$-36$$
?
The additive inverse is:
$$36$$
4. What is the sign of the product of two negative integers?
The product is positive.
$$(-)\times(-)=+$$
5. Which integer is greater:
$$-8$$
or
$$-15$$
?
Since
$$-8>-15$$
therefore,
$$-8$$
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 an important chapter in Class 7 Mathematics. Understanding integer operations and properties helps students build strong mathematical concepts and perform well in examinations. Regular MCQ practice improves speed, accuracy, and conceptual understanding for long-term success in mathematics.
Related links
- Class 7 Maths Chapter 1 Integers number line
- 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, 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
