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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 are numbers that include positive numbers, negative numbers, and zero. They are used in various real-life situations such as temperature changes, gains and losses, and elevations above or below sea level. Understanding integers helps students develop strong mathematical concepts and prepares them for advanced topics.
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 extensively in mathematics and daily life. Understanding their operations and properties helps students solve problems efficiently and build a strong foundation for higher mathematics.
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 4 units to the right of:
$$0$$
on the number line?
A) $$-4$$
B) $$4$$
C) $$0$$
D) $$1$$
Answer:
$$4$$
Useful Formula for this Question:
Integers increase from left to right on the number line.
Concept Behind This Question:
Students should understand the representation of integers on a number line.
Step-by-Step Solution:
Moving towards the right side of the number line gives greater integers.
Starting from
$$0$$
and moving 4 units to the right gives:
$$4$$
Hence, the correct answer is:
$$4$$
Exam Tip:
Positive integers lie on the right side of zero on the number line.
Q2. Evaluate:
$$(-20)+15$$
A) $$35$$
B) $$-35$$
C) $$-5$$
D) $$5$$
Answer:
$$-5$$
Useful Formula for this Question:
For integers with opposite signs, subtract their absolute values and keep the sign of the number having the greater absolute value.
Concept Behind This Question:
Students should add integers having different signs.
Step-by-Step Solution:
Given:
$$(-20)+15$$
Subtract the absolute values:
$$20-15=5$$
Since
$$20$$
has the greater absolute value and is negative, the result is negative.
Therefore,
$$(-20)+15=-5$$
Hence, the correct answer is:
$$-5$$
Exam Tip:
When signs are different, subtract and keep the sign of the larger absolute value.
Q3. Find the value of:
$$25-(-9)$$
A) $$16$$
B) $$34$$
C) $$-34$$
D) $$-16$$
Answer:
$$34$$
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:
$$25-(-9)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$25+9=34$$
Therefore,
$$25-(-9)=34$$
Hence, the correct answer is:
$$34$$
Exam Tip:
Subtracting a negative integer is the same as adding it.
Q4. What is the value of:
$$(-9)\times(-6)$$
A) $$-54$$
B) $$54$$
C) $$15$$
D) $$-15$$
Answer:
$$54$$
Useful Formula for this Question:
$$(-)\times(-)=+$$
Concept Behind This Question:
Students should apply multiplication sign rules correctly.
Step-by-Step Solution:
Multiply the numbers:
$$9\times6=54$$
Since both integers are negative, their product is positive.
Therefore,
$$(-9)\times(-6)=54$$
Hence, the correct answer is:
$$54$$
Exam Tip:
The product of two integers with the same sign is positive.
Q5. Which property is represented by:
$$3\times1=3$$
A) Multiplicative Identity
B) Additive 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 of integers.
Step-by-Step Solution:
Multiplying any integer by
$$1$$
does not change its value.
$$3\times1=3$$
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 an integer?
Yes.
$$0$$
is an integer but neither positive nor negative.
3. What is the additive inverse of:
$$-25$$
?
The additive inverse is:
$$25$$
4. What is the multiplicative identity of integers?
The multiplicative identity is:
$$1$$
because
$$a\times1=a$$
5. Which integer is smaller:
$$-8$$
or
$$-3$$
?
Since
$$-8<-3$$
therefore,
$$-8$$
is smaller.
Common Mistakes
❌ Ignoring negative signs during calculations.
❌ Assuming zero is positive.
❌ Confusing additive inverse with subtraction.
❌ Applying multiplication rules incorrectly.
❌ Treating subtraction as commutative.
Quick Revision Notes
✔ Integers include positive numbers, negative numbers, and zero.
✔ Opposite integers are additive inverses.
$$a+(-a)=0$$
✔ Subtracting a negative integer means addition.
$$a-(-b)=a+b$$
✔ The product of two negative integers is positive.
$$(-)\times(-)=+$$
✔ The multiplicative identity of integers is:
$$1$$
Conclusion
Integers is an important chapter in Class 7 Mathematics that forms the basis for higher mathematical concepts. Understanding operations and properties of integers improves logical thinking and problem-solving skills. Regular MCQ practice enhances conceptual understanding, speed, and accuracy in examinations.
Related links
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