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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, operations on integers, 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 include positive numbers, negative numbers, and zero. They are used to represent quantities such as temperature, profit and loss, and elevations above or below sea level. Learning integers helps students understand mathematical operations and prepares them for higher mathematics.
What You Will Learn?
✔ Positive Integers
✔ Negative Integers
✔ Number Line Representation
✔ Addition of Integers
✔ Subtraction of Integers
✔ Multiplication of Integers
✔ Properties of Integers
✔ Additive Inverse
Why This Topic Is Important?
Integers are widely used in mathematics and real-life situations. Understanding integers strengthens logical thinking and helps students solve problems 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 6 units to the left of zero on the number line?
A) $$6$$
B) $$-6$$
C) $$0$$
D) $$1$$
Answer:
$$-6$$
Useful Formula for this Question:
Integers to the left of zero on the number line are negative.
Concept Behind This Question:
Students should understand the representation of integers on a number line.
Step-by-Step Solution:
Moving to the left of zero gives negative integers.
Moving 6 units to the left of:
$$0$$
gives
$$-6$$
Hence, the correct answer is:
$$-6$$
Exam Tip:
Numbers increase towards the right and decrease towards the left on the number line.
Q2. Evaluate:
$$(-13)+7$$
A) $$20$$
B) $$-20$$
C) $$-6$$
D) $$6$$
Answer:
$$-6$$
Useful Formula for this Question:
For integers with different signs, subtract the smaller absolute value from the larger one and keep the sign of the larger absolute value.
Concept Behind This Question:
Students should add integers having different signs.
Step-by-Step Solution:
Given:
$$(-13)+7$$
Subtract the absolute values:
$$13-7=6$$
Since
$$13$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-13)+7=-6$$
Hence, the correct answer is:
$$-6$$
Exam Tip:
The sign of the integer with the greater absolute value determines the sign of the answer.
Q3. Find the value of:
$$-10-8$$
A) $$18$$
B) $$-18$$
C) $$2$$
D) $$-2$$
Answer:
$$-18$$
Useful Formula for this Question:
$$a-b=a+(-b)$$
Concept Behind This Question:
Students should perform subtraction of integers correctly.
Step-by-Step Solution:
Convert subtraction into addition:
$$-10-8=-10+(-8)$$
Now add the integers:
$$-10+(-8)=-18$$
Hence, the correct answer is:
$$-18$$
Exam Tip:
Subtracting a positive integer means moving left on the number line.
Q4. What is the value of:
$$(-12)\times(-3)$$
A) $$-36$$
B) $$36$$
C) $$15$$
D) $$-15$$
Answer:
$$36$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$12\times3=36$$
Since both integers are negative, their product is positive.
Therefore,
$$(-12)\times(-3)=36$$
Hence, the correct answer is:
$$36$$
Exam Tip:
The product of two integers with the same sign is positive.
Q5. Which property is represented by:
$$4+(-4)=0$$
A) Additive Inverse
B) Multiplicative Identity
C) Associative Property
D) Closure 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
$$4$$
and
$$-4$$
are opposite integers.
Their sum is:
$$4+(-4)=0$$
Thus,
$$-4$$
is the additive inverse of
$$4$$
Hence, the correct answer is:
Additive Inverse
Exam Tip:
Every integer has an additive inverse whose sum with the integer 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 it is neither positive nor negative.
3. What is the additive inverse of:
$$-15$$
?
The additive inverse is:
$$15$$
4. What is the sign of the product of two negative integers?
The product is positive.
$$(-)\times(-)=+$$
5. Which integer is greater:
$$-2$$
or
$$-5$$
?
Since
$$-2>-5$$
therefore,
$$-2$$
is greater.
Common Mistakes
❌ Ignoring the sign of integers.
❌ Confusing additive inverse with subtraction.
❌ Treating zero as a positive number.
❌ Applying multiplication sign rules incorrectly.
❌ Forgetting that subtraction can be converted into addition.
Quick Revision Notes
✔ Integers include positive numbers, negative numbers, and zero.
✔ Zero is neither positive nor negative.
✔ Opposite integers are additive inverses of each other.
$$a+(-a)=0$$
✔ The product of two negative integers is positive.
$$(-)\times(-)=+$$
✔ Subtraction of integers can be converted into addition.
$$a-b=a+(-b)$$
Conclusion
Integers is one of the most important chapters in Class 7 Mathematics. Understanding integers and their operations helps students solve mathematical problems efficiently and prepares them for advanced topics in algebra. Regular MCQ practice improves conceptual understanding, speed, and accuracy in examinations.
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