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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 include positive numbers, negative numbers, and zero. They are used to represent quantities such as gains and losses, temperatures, elevations, and financial transactions. Understanding integers helps students develop strong mathematical reasoning and prepares them for higher classes.
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 used in mathematics as well as in everyday life. Mastering integer operations helps students solve problems quickly and accurately and builds a strong foundation for algebra.
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 of the following integers is neither positive nor negative?
A) $$1$$
B) $$-1$$
C) $$0$$
D) $$2$$
Answer:
$$0$$
Useful Formula for this Question:
$$0$$
is neither positive nor negative.
Concept Behind This Question:
Students should identify the special property of zero.
Step-by-Step Solution:
Positive integers are greater than:
$$0$$
Negative integers are less than:
$$0$$
The integer
$$0$$
is neither positive nor negative.
Hence, the correct answer is:
$$0$$
Exam Tip:
Zero separates positive integers from negative integers on the number line.
Q2. Evaluate:
$$(-25)+18$$
A) $$7$$
B) $$-7$$
C) $$43$$
D) $$-43$$
Answer:
$$-7$$
Useful Formula for this Question:
For integers with different signs, subtract their absolute values and keep the sign of the integer having the greater absolute value.
Concept Behind This Question:
Students should add integers with unlike signs.
Step-by-Step Solution:
Given:
$$(-25)+18$$
Subtract the absolute values:
$$25-18=7$$
Since
$$25$$
has the greater absolute value and is negative, the answer is negative.
Therefore,
$$(-25)+18=-7$$
Hence, the correct answer is:
$$-7$$
Exam Tip:
The sign of the larger absolute value determines the sign of the result.
Q3. Find the value of:
$$-16-12$$
A) $$28$$
B) $$-28$$
C) $$4$$
D) $$-4$$
Answer:
$$-28$$
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:
$$-16-12=-16+(-12)$$
Now add the integers:
$$-16+(-12)=-28$$
Hence, the correct answer is:
$$-28$$
Exam Tip:
Subtracting a positive integer means moving left on the number line.
Q4. What is the value of:
$$8\times(-11)$$
A) $$88$$
B) $$-88$$
C) $$19$$
D) $$-19$$
Answer:
$$-88$$
Useful Formula for this Question:
$$(+)\times(-)=-$$
Concept Behind This Question:
Students should apply multiplication sign rules correctly.
Step-by-Step Solution:
Multiply the numbers:
$$8\times11=88$$
Since the integers have different signs, the product is negative.
Therefore,
$$8\times(-11)=-88$$
Hence, the correct answer is:
$$-88$$
Exam Tip:
The product of integers with different signs is always negative.
Q5. Which property is represented by:
$$4+(-2)=(-2)+4$$
A) Associative Property
B) Commutative Property of Addition
C) Additive Identity
D) Closure Property
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.
$$4+(-2)=2$$
and
$$(-2)+4=2$$
Thus,
$$4+(-2)=(-2)+4$$
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 a positive integer?
No.
$$0$$
is neither positive nor negative.
3. What is the additive inverse of:
$$18$$
?
The additive inverse is:
$$-18$$
4. What is the product of a positive and a negative integer?
The product is negative.
$$(+)\times(-)=-$$
5. Which integer is greater:
$$-1$$
or
$$-6$$
?
Since
$$-1>-6$$
therefore,
$$-1$$
is greater.
Common Mistakes
❌ Ignoring negative signs while calculations.
❌ Treating zero as a positive integer.
❌ Confusing subtraction with addition.
❌ Applying multiplication sign rules incorrectly.
❌ Assuming subtraction is commutative.
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 written as addition.
$$a-b=a+(-b)$$
✔ The product of unlike signs is negative.
$$(+)\times(-)=-$$
Conclusion
Integers is a fundamental chapter in Class 7 Mathematics that introduces students to positive and negative numbers. Understanding integer operations and properties helps students solve mathematical problems efficiently and lays the foundation for advanced mathematical concepts. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
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