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Practice Class 7 Maths Chapter 1 Integers MCQ Questions with Answers based on NCERT syllabus. Learn addition, subtraction, multiplication, properties of integers, and number line with detailed solutions for CBSE exams.
Do You Know
Q1. Which integer is greater?
$$-4$$
or
$$-9$$
A) $$-9$$
B) $$-4$$
C) Both are equal
D) Cannot be determined
Answer:
$$-4$$
Useful Formula for this Question:
On a number line, the integer on the right is greater.
Concept Behind This Question:
Students should compare integers using the number line.
Step-by-Step Solution:
On the number line,
$$-4$$
lies to the right of
$$-9$$
Therefore,
$$-4>-9$$
Hence, the correct answer is:
$$-4$$
Exam Tip:
Among negative numbers, the number closer to zero is greater.
Q2. Evaluate:
$$(-12)+(-8)$$
A) $$20$$
B) $$-20$$
C) $$4$$
D) $$-4$$
Answer:
$$-20$$
Useful Formula for this Question:
$$(-a)+(-b)=-(a+b)$$
Concept Behind This Question:
Students should add integers having the same sign.
Step-by-Step Solution:
Given:
$$(-12)+(-8)$$
Add the absolute values:
$$12+8=20$$
Both numbers are negative.
Therefore,
$$(-12)+(-8)=-20$$
Hence, the correct answer is:
$$-20$$
Exam Tip:
The sum of two negative integers is always negative.
Q3. Find the value of:
$$15-22$$
A) $$7$$
B) $$-7$$
C) $$37$$
D) $$-37$$
Answer:
$$-7$$
Useful Formula for this Question:
$$a-b=a+(-b)$$
Concept Behind This Question:
Students should perform subtraction of integers.
Step-by-Step Solution:
Convert subtraction into addition:
$$15-22=15+(-22)$$
Now,
$$15+(-22)=-7$$
Hence, the correct answer is:
$$-7$$
Exam Tip:
Convert subtraction into addition of the opposite number.
Q4. What is the product of:
$$(-6)\times5$$
A) $$30$$
B) $$-30$$
C) $$11$$
D) $$-11$$
Answer:
$$-30$$
Useful Formula for this Question:
$$(-)\times(+)=-$$
Concept Behind This Question:
Students should apply multiplication sign rules.
Step-by-Step Solution:
Multiply the numbers:
$$6\times5=30$$
The signs are different.
Therefore,
$$(-6)\times5=-30$$
Hence, the correct answer is:
$$-30$$
Exam Tip:
The product of integers with different signs is negative.
Q5. Which property is represented by:
$$(2+3)+4=2+(3+4)$$
A) Commutative Property
B) Associative Property
C) Closure Property
D) Identity Property
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.
$$(2+3)+4=5+4=9$$
$$2+(3+4)=2+7=9$$
Both sides are equal.
Hence, the expression represents the associative property.
Therefore, the correct answer is:
Associative Property
Exam Tip:
Associative property changes grouping, not the order of numbers.
Quick Revision
✔ Integers can be positive, negative, or zero.
✔ Negative numbers lie to the left of zero on the number line.
✔ The sum of two negative integers is negative.
$$(-a)+(-b)=-(a+b)$$
✔ Multiplication of unlike signs is negative.
$$(-)\times(+)=-$$
✔ Addition of integers satisfies associative property.
$$(a+b)+c=a+(b+c)$$
Agla hoga: Practice Set 3 with completely new questions (no repetition).
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