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Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn 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 are numbers that include positive numbers, negative numbers, and zero. They are used to represent temperatures, profits and losses, elevations, and many real-life situations. A good understanding of integers helps students solve mathematical problems efficiently 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
✔ Additive Inverse
✔ Properties of Integers
Why This Topic Is Important?
Integers play an important role in mathematics and everyday life. Understanding their operations and properties develops logical thinking and improves problem-solving skills.
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 smaller?
$$-14$$
or
$$-6$$
A) $$-14$$
B) $$-6$$
C) Both are equal
D) Cannot be determined
Answer:
$$-14$$
Useful Formula for this Question:
On a number line, integers on the left are smaller.
Concept Behind This Question:
Students should compare negative integers correctly.
Step-by-Step Solution:
Among negative integers, the number farther from zero is smaller.
We know that:
$$-14<-6$$
Therefore, the smaller integer is:
$$-14$$
Hence, the correct answer is:
$$-14$$
Exam Tip:
Among negative numbers, the number with the greater absolute value is smaller.
Q2. Evaluate:
$$(-35)+20$$
A) $$15$$
B) $$-15$$
C) $$55$$
D) $$-55$$
Answer:
$$-15$$
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:
$$(-35)+20$$
Subtract the absolute values:
$$35-20=15$$
Since
$$35$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-35)+20=-15$$
Hence, the correct answer is:
$$-15$$
Exam Tip:
The sign of the integer with the greater absolute value determines the sign of the answer.
Q3. Find the value of:
$$-9-(-13)$$
A) $$4$$
B) $$-4$$
C) $$22$$
D) $$-22$$
Answer:
$$4$$
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:
$$-9-(-13)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$-9+13=4$$
Therefore,
$$-9-(-13)=4$$
Hence, the correct answer is:
$$4$$
Exam Tip:
Subtracting a negative integer changes subtraction into addition.
Q4. What is the value of:
$$(-14)\times(-5)$$
A) $$-70$$
B) $$70$$
C) $$19$$
D) $$-19$$
Answer:
$$70$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$14\times5=70$$
Since both integers are negative, the product is positive.
Therefore,
$$(-14)\times(-5)=70$$
Hence, the correct answer is:
$$70$$
Exam Tip:
The product of two negative integers is always positive.
Q5. Which property is represented by:
$$8\times1=8$$
A) Additive Identity
B) Multiplicative Identity
C) Closure Property
D) Associative Property
Answer:
Multiplicative Identity
Useful Formula for this Question:
$$a\times1=a$$
Concept Behind This Question:
Students should identify identity properties.
Step-by-Step Solution:
Multiplying any integer by
$$1$$
does not change its value.
$$8\times1=8$$
Therefore,
$$1$$
is called the multiplicative identity.
Hence, the correct answer is:
Multiplicative Identity
Exam Tip:
The multiplicative identity of integers is always
$$1$$
.
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:
$$32$$
?
The additive inverse is:
$$-32$$
4. What is the sign of the product of two integers with different signs?
The product is negative.
$$(+)\times(-)=-$$
5. Which integer is greater:
$$-4$$
or
$$-10$$
?
Since
$$-4>-10$$
therefore,
$$-4$$
is greater.
Common Mistakes
❌ Ignoring negative signs while calculations.
❌ Confusing additive inverse with subtraction.
❌ Assuming zero is positive.
❌ Applying multiplication sign rules incorrectly.
❌ Treating subtraction as 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 unlike signs is negative.
$$(+)\times(-)=-$$
✔ Zero is neither positive nor negative.
Conclusion
Integers is a fundamental chapter in Class 7 Mathematics. Understanding integer operations and properties helps students solve problems efficiently and prepares them for advanced mathematical concepts. Regular MCQ practice improves speed, accuracy, and conceptual understanding in examinations.
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