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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 widely used in mathematics and daily life for representing quantities such as gains and losses, temperatures, and elevations. Understanding integers helps students develop logical thinking and prepares them for higher mathematical concepts.
What You Will Learn?
✔ Positive Integers
✔ Negative Integers
✔ Representation on Number Line
✔ Addition of Integers
✔ Subtraction of Integers
✔ Multiplication of Integers
✔ Additive Inverse
✔ Properties of Integers
Why This Topic Is Important?
Integers are essential for solving mathematical problems and understanding advanced concepts in algebra. They are also useful in many real-life situations involving positive and negative quantities.
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:
$$3$$
and
$$5$$
on the number line?
A) $$2$$
B) $$4$$
C) $$6$$
D) $$0$$
Answer:
$$4$$
Useful Formula for this Question:
Integers increase from left to right on the number line.
Concept Behind This Question:
Students should identify integers on a number line.
Step-by-Step Solution:
The integers around the given numbers are:
$$3,4,5$$
Therefore,
$$4$$
lies exactly between
$$3$$
and
$$5$$
Hence, the correct answer is:
$$4$$
Exam Tip:
A number lying to the right on the number line is greater.
Q2. Evaluate:
$$(-30)+12$$
A) $$18$$
B) $$-18$$
C) $$42$$
D) $$-42$$
Answer:
$$-18$$
Useful Formula for this Question:
For integers with opposite 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:
$$(-30)+12$$
Subtract the absolute values:
$$30-12=18$$
Since
$$30$$
has the larger absolute value and is negative, the result is negative.
Therefore,
$$(-30)+12=-18$$
Hence, the correct answer is:
$$-18$$
Exam Tip:
The sign of the integer with the larger absolute value determines the sign of the answer.
Q3. Find the value of:
$$20-(-15)$$
A) $$5$$
B) $$35$$
C) $$-35$$
D) $$-5$$
Answer:
$$35$$
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:
$$20-(-15)$$
Using the rule:
$$a-(-b)=a+b$$
We get:
$$20+15=35$$
Therefore,
$$20-(-15)=35$$
Hence, the correct answer is:
$$35$$
Exam Tip:
Subtracting a negative integer is equivalent to adding it.
Q4. What is the value of:
$$(-8)\times7$$
A) $$56$$
B) $$-56$$
C) $$15$$
D) $$-15$$
Answer:
$$-56$$
Useful Formula for this Question:
$$(-)\times(+)=-$$
Concept Behind This Question:
Students should apply multiplication rules of integers.
Step-by-Step Solution:
Multiply the numbers:
$$8\times7=56$$
Since the signs are different, the product is negative.
Therefore,
$$(-8)\times7=-56$$
Hence, the correct answer is:
$$-56$$
Exam Tip:
The product of integers with unlike signs is always negative.
Q5. Which property is represented by:
$$(2+5)+3=2+(5+3)$$
A) Commutative Property
B) Associative Property
C) Closure Property
D) Additive Identity
Answer:
Associative Property
Useful Formula for this Question:
$$(a+b)+c=a+(b+c)$$
Concept Behind This Question:
Students should identify properties of addition.
Step-by-Step Solution:
Only the grouping of numbers changes.
$$(2+5)+3=7+3=10$$
$$2+(5+3)=2+8=10$$
Since both sides are equal, the expression represents the associative property.
Hence, the correct answer is:
Associative Property
Exam Tip:
Associative property changes the grouping of numbers, not their order.
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 positive or negative?
No.
$$0$$
is neither positive nor negative.
3. What is the additive inverse of:
$$-20$$
?
The additive inverse is:
$$20$$
4. What is the product of two integers with different signs?
The product is negative.
$$(+)\times(-)=-$$
5. Which integer is smaller:
$$-10$$
or
$$-4$$
?
Since
$$-10<-4$$
therefore,
$$-10$$
is smaller.
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 written as addition.
$$a-b=a+(-b)$$
✔ The product of integers with different signs is negative.
$$(+)\times(-)=-$$
✔ Zero is neither positive nor negative.
Conclusion
Integers is one of the most important chapters in Class 7 Mathematics. Understanding integer operations and properties helps students solve problems efficiently and build a strong foundation for algebra and higher mathematics. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
- Class 7 Maths Chapter 1 Integers additive inverse
- Class 7 Maths Chapter 1 Integers additive, properties
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- Class7 Maths Chapter1 positive and negative integers
- NCERT Class 7 Maths Chapter 1 Integers,addition, subtraction
- Class7 Maths Chapter 1 Integers-subtraction-multiplication
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