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Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn addition, subtraction, multiplication, number line, 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 in everyday life to represent quantities such as temperature, profit and loss, and elevations. Understanding integers helps students develop strong mathematical skills and prepares them 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 play an important role in mathematics and real-life applications. They help represent gains and losses, temperatures above and below zero, and changes in quantities. Mastering integers improves logical reasoning 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 lies exactly between:
$$-2$$
and
$$0$$
on the number line?
A) $$1$$
B) $$-1$$
C) $$2$$
D) $$-3$$
Answer:
$$-1$$
Useful Formula for this Question:
On a number line, integers increase from left to right.
Concept Behind This Question:
Students should locate integers correctly on the number line.
Step-by-Step Solution:
The integers around the given numbers are:
$$-2,-1,0$$
Therefore,
$$-1$$
lies exactly between
$$-2$$
and
$$0$$
Hence, the correct answer is:
$$-1$$
Exam Tip:
Numbers on the right side of the number line are greater.
Q2. Evaluate:
$$(-18)+11$$
A) $$29$$
B) $$-29$$
C) $$-7$$
D) $$7$$
Answer:
$$-7$$
Useful Formula for this Question:
For integers with opposite 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 correctly.
Step-by-Step Solution:
Given:
$$(-18)+11$$
Subtract the absolute values:
$$18-11=7$$
Since
$$18$$
has the greater absolute value and is negative, the result is negative.
Therefore,
$$(-18)+11=-7$$
Hence, the correct answer is:
$$-7$$
Exam Tip:
The sign of the larger absolute value determines the sign of the answer.
Q3. Find the value of:
$$-14-9$$
A) $$23$$
B) $$-23$$
C) $$5$$
D) $$-5$$
Answer:
$$-23$$
Useful Formula for this Question:
$$a-b=a+(-b)$$
Concept Behind This Question:
Students should subtract integers correctly.
Step-by-Step Solution:
Convert subtraction into addition:
$$-14-9=-14+(-9)$$
Adding the integers:
$$-14+(-9)=-23$$
Hence, the correct answer is:
$$-23$$
Exam Tip:
Subtracting a positive integer moves left on the number line.
Q4. What is the value of:
$$(-7)\times8$$
A) $$56$$
B) $$-56$$
C) $$15$$
D) $$-15$$
Answer:
$$-56$$
Useful Formula for this Question:
$$(-)\times(+)=-$$
Concept Behind This Question:
Students should apply multiplication sign rules.
Step-by-Step Solution:
Multiply the numbers:
$$7\times8=56$$
Since the signs are different, the product is negative.
Therefore,
$$(-7)\times8=-56$$
Hence, the correct answer is:
$$-56$$
Exam Tip:
The product of integers with different signs is always negative.
Q5. Which property is represented by:
$$7+(-7)=0$$
A) Closure Property
B) Additive Inverse
C) Associative 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
$$7$$
and
$$-7$$
are opposite integers.
Their sum is:
$$7+(-7)=0$$
Therefore,
$$-7$$
is the additive inverse of
$$7$$
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 an integer?
Yes.
$$0$$
is an integer but neither positive nor negative.
3. What is the additive inverse of:
$$12$$
?
The additive inverse is:
$$-12$$
4. What is the result of multiplying two negative integers?
The product is positive.
$$(-)\times(-)=+$$
5. Which integer is greater:
$$-4$$
or
$$-9$$
?
Since
$$-4>-9$$
therefore,
$$-4$$
is greater.
Common Mistakes
❌ Ignoring negative signs during calculations.
❌ Treating subtraction as commutative.
❌ Confusing additive inverse with subtraction.
❌ Assuming zero is positive.
❌ Applying multiplication sign rules incorrectly.
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 integers with unlike signs is negative.
$$(+)\times(-)=-$$
Conclusion
Integers is a fundamental chapter in Class 7 Mathematics. Understanding integer operations and their properties helps students solve mathematical problems efficiently and builds a strong foundation for higher mathematics. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
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