Preparing for your Maths exam becomes much easier when you practise the right questions. These Class 7 Maths Chapter 10 Operations with Integers MCQs are designed to help you understand every important concept of the chapter in a simple and interesting way. Each question comes with the correct answer and a clear explanation, so you can learn the concept instead of only memorising the answer.
This collection of MCQs covers all the important topics, including addition, subtraction, multiplication, division, properties of integers, and the BODMAS rule. The questions range from basic to higher-level, helping you build confidence step by step. Whether you are revising for a class test, unit test, half-yearly exam, or annual exam, these practice questions will improve both your speed and accuracy.
If you are looking for more Class 7 MCQs or chapter-wise Class 7 Maths MCQs, this page is a useful resource for regular practice. The questions follow the latest CBSE Board syllabus and exam pattern, making them suitable for effective revision. Read each question carefully, check the explanation after answering, and practise regularly to strengthen your understanding of operations with integers and score better in your exams.
Class 7 Maths Chapter 10 Operations with Integers MCQs with Answers and Explanations
The following Class 7 Maths Chapter 10 Operations with Integers MCQs will help you revise the complete chapter in a simple and effective way. These questions cover all the important concepts, including addition, subtraction, multiplication, division, properties of integers, and the BODMAS rule. Each MCQ includes the correct answer and a clear explanation to help you understand the concept and prepare confidently for your CBSE Board exams. Begin with the easy questions and gradually move to the higher-level ones to test your understanding.
Q. What is the value of (-8) + 15?
A. -23
B. 23
C. 7
D. -7
Answer:C
Explanation:
The two integers have different signs, so subtract their absolute values. Since 15 is greater than 8, calculate 15 − 8 = 7 and keep the positive sign. Whenever integers have different signs, the larger absolute value decides the sign of the final answer.
Q. Which of the following is not an integer?
A. -14
B. 0
C. 19
D. 5.5
Answer:D
Explanation:
Integers include positive numbers, negative numbers, and zero. They never contain fractions or decimal values. Since 5.5 is a decimal number, it is not an integer. Recognising different types of numbers helps build a strong foundation in mathematics.
Q. Find the value of 12 - 18.
A. -6
B. 6
C. 30
D. -30
Answer:A
Explanation:
Subtracting a larger number from a smaller number gives a negative result. Here, 12 − 18 equals -6. You can also think of it as adding the opposite: 12 + (-18), which also gives -6.
Q. What is the product of (-6) × (-4)?
A. -24
B. 10
C. 24
D. -10
Answer:C
Explanation:
When two negative integers are multiplied, the product is always positive. Multiply the numbers normally: 6 × 4 = 24. Since both numbers have the same sign, the answer is +24. This sign rule is one of the most important concepts in this chapter.
Q. Which property is shown by the equation 7 + 0 = 7?
A. Closure Property
B. Identity Property
C. Commutative Property
D. Associative Property
Answer:B
Explanation:
Zero is called the identity element for addition because adding zero does not change the value of a number. Whether you add 0 to 7 or 100, the original number remains unchanged. This is known as the Identity Property of Addition.
Q. What is the value of (-24) ÷ 6?
A. 4
B. -4
C. -30
D. 30
Answer:B
Explanation:
A negative number divided by a positive number always gives a negative result. Divide the numbers normally: 24 ÷ 6 = 4, then apply the sign rule. Since the signs are different, the answer is -4. Remember that division follows the same sign rules as multiplication.
Q. Find the value of (-9) + (-11).
A. 2
B. -2
C. -20
D. 20
Answer:C
Explanation:
When both integers have the same sign, simply add their values and keep that sign. Here, 9 + 11 = 20, and both numbers are negative. Therefore, the sum is -20. This rule makes addition of integers quick and easy.
Q. Which statement about the subtraction of integers is correct?
A. Keep the subtraction sign unchanged.
B. Reverse the sign of the first number.
C. Change subtraction into addition and take the opposite of the second number.
D. Always subtract the smaller number from the larger number.
Answer:C
Explanation:
To subtract an integer, change the subtraction sign into addition and replace the second number with its opposite. For example, 8 - (-3) becomes 8 + 3. This method works for every subtraction problem involving integers and helps avoid calculation mistakes.
Q. Evaluate 5 × (-8).
A. 40
B. -13
C. -40
D. 13
Answer:C
Explanation:
A positive integer multiplied by a negative integer always produces a negative product. Multiply the numbers first: 5 × 8 = 40. Since the signs are different, the final answer is -40. Always check the signs before writing the final result.
Q. Which property is represented by (-3) × 1 = -3?
A. Closure Property
B. Identity Property
C. Commutative Property
D. Associative Property
Answer:B
Explanation:
The number 1 is called the identity element for multiplication because multiplying any integer by 1 does not change its value. Whether the integer is positive or negative, the result remains the same. This is known as the Identity Property of Multiplication.
Q. The temperature in a city is 3°C in the morning. During the night, it falls by 8°C. What is the new temperature?
A. 11°C
B. -5°C
C. 5°C
D. -11°C
Answer:B
Explanation:
A fall in temperature means subtraction. Calculate 3 − 8 = -5. Since the temperature goes below zero, the answer is -5°C. Integer questions based on temperature help students understand how negative numbers are used in everyday life.
Q. A diver is 15 metres below sea level. He swims 7 metres upward. Where is he now?
A. 22 m below sea level
B. 8 m below sea level
C. 8 m above sea level
D. 22 m above sea level
Answer:B
Explanation:
Being below sea level is represented by a negative integer. The diver starts at -15 m and moves up by 7 m, so calculate -15 + 7 = -8. The negative sign shows he is still below sea level, now at 8 metres below.
Q. Evaluate (-5) × (6 + 2).
A. -40
B. 40
C. -16
D. 16
Answer:A
Explanation:
According to the BODMAS rule, solve the brackets first. Calculate 6 + 2 = 8, then multiply -5 × 8 = -40. Following the correct order of operations helps avoid common mistakes while solving expressions with integers.
Q. Which operation is not commutative for integers?
A. Addition
B. Multiplication
C. Subtraction
D. Both Addition and Multiplication
Answer:C
Explanation:
In subtraction, changing the order of numbers changes the answer. For example, 8 − 5 = 3, but 5 − 8 = -3. Since the results are different, subtraction is not commutative. Addition and multiplication, however, remain commutative for integers.
Q. What is the value of (-18) + 6 × 3?
A. -36
B. 0
C. 18
D. -12
Answer:B
Explanation:
Use the BODMAS rule by performing multiplication before addition. First calculate 6 × 3 = 18. The expression becomes -18 + 18, which equals 0. Solving operations in the correct sequence is essential for getting accurate answers in integer expressions.
Q. Ravi had ₹120 in his wallet. He spent ₹150. What is his balance if spending more than the available money is represented by negative integers?
A. ₹30
B. -₹30
C. ₹270
D. -₹270
Answer:B
Explanation:
If Ravi spends more money than he has, the balance becomes negative. Calculate 120 - 150 = -30. A negative balance represents an amount that is still owed. This question shows how integers are used in real-life financial situations.
Q. Which expression is equal to 9 - (-4)?
A. 9 + 4
B. 9 - 4
C. -9 + 4
D. -9 - 4
Answer:A
Explanation:
When subtracting a negative integer, change the subtraction into addition. So, 9 - (-4) becomes 9 + 4, which equals 13. Remember this simple rule whenever you subtract a negative number.
Q. Evaluate (-7) × (-3) + 5.
A. -16
B. 26
C. 16
D. -26
Answer:B
Explanation:
Apply the BODMAS rule and perform multiplication first. The product of two negative integers is positive, so (-7) × (-3) = 21. Then add 5 to get 26. Solving expressions step by step reduces calculation errors.
Q. Which property is shown by 4 × (6 + 2) = (4 × 6) + (4 × 2)?
A. Associative Property
B. Identity Property
C. Distributive Property
D. Closure Property
Answer:C
Explanation:
The distributive property allows multiplication to be distributed over addition. Instead of adding first, you can multiply each number separately and then add the results. This property is useful for simplifying many arithmetic calculations.
Q. The product of three integers is negative. What can you conclude?
A. There are no negative integers.
B. The number of negative integers is odd.
C. The number of negative integers is even.
D. All integers are positive.
Answer:B
Explanation:
The sign of a product depends on the number of negative factors. An odd number of negative integers always gives a negative product, while an even number gives a positive product. Counting negative signs is often quicker than multiplying every number.
Q. Assertion (A): Addition of integers is commutative.
Reason (R): Changing the order of integers does not change their sum.
A. A
B. B
C. C
D. D
Answer:A
Explanation:
For any two integers, a + b = b + a. This means the order of addition does not affect the answer. The Reason correctly explains why addition is called a commutative operation. This property is frequently tested in CBSE examinations.
Q. Assertion (A): Division of integers is commutative.
Reason (R): Changing the order of numbers changes the quotient.
A. A
B. B
C. C
D. D
Answer:D
Explanation:
Division is not commutative because 12 ÷ 3 = 4, whereas 3 ÷ 12 = 0.25, which is a different result. Therefore, the Assertion is false, but the Reason correctly states why the property does not hold.
Q. Assertion (A): The product of two negative integers is positive.
Reason (R): Two negative signs cancel each other during multiplication.
A. A
B. B
C. C
D. D
Answer:A
Explanation:
Multiplying two negative integers always gives a positive product. This happens because the multiplication sign rules state that two negative signs together result in a positive sign. The Reason directly explains the Assertion, making both statements correct.
Q. Assertion (A): Zero is the identity element for multiplication.
Reason (R): Multiplying any integer by zero gives zero.
A. A
B. B
C. C
D. D
Answer:D
Explanation:
The identity element for multiplication is 1, not 0. While it is true that any integer multiplied by zero becomes zero, that does not leave the original number unchanged. Hence, the Assertion is false, but the Reason is true.
Q. Assertion (A): The closure property holds for the addition of integers.
Reason (R): The sum of any two integers is always an integer.
A. A
B. B
C. C
D. D
Answer:A
Explanation:
Whenever two integers are added, the result is always another integer. This is exactly what the closure property means. Since the Reason correctly defines the closure property, it completely explains the Assertion.
Q. What answer should Aman get for (-12) + 18?
A. -30
B. 6
C. -6
D. 30
Answer:B
Explanation:
The integers have different signs, so subtract their absolute values. Since 18 is greater than 12, calculate 18 − 12 = 6 and keep the positive sign. Looking at the larger number first makes it easier to determine the correct sign of the answer.
Q. What is the value of (-5) × (-7)?
A. -35
B. 12
C. 35
D. -12
Answer:C
Explanation:
When two negative integers are multiplied, the product is always positive. Multiply 5 × 7 = 35, then apply the sign rule. Many students make mistakes by keeping the negative sign, so always check whether the signs are the same or different.
Q. What is the result of 36 ÷ (-6)?
A. -6
B. 6
C. -30
D. 30
Answer:A
Explanation:
Division follows the same sign rules as multiplication. A positive integer divided by a negative integer gives a negative quotient. Since 36 ÷ 6 = 6, the final answer becomes -6.
Q. What is the value of 15 - (-9)?
A. 6
B. -24
C. 24
D. -6
Answer:C
Explanation:
Subtracting a negative integer is the same as adding its opposite. Rewrite the expression as 15 + 9, which equals 24. Converting subtraction into addition is a useful technique that makes integer calculations much simpler.
Q. Rahul evaluates (-4) × (5 + 3). What answer should he get?
A. 32
B. -32
C. -12
D. 12
Answer:B
Explanation:
Apply the BODMAS rule by solving the brackets first. Calculate 5 + 3 = 8. Then multiply (-4) × 8, which equals -32. Following the correct order of operations helps you avoid common mistakes in expressions involving integers.
Quick Revision of Class 7 Maths Chapter 10 Operations with Integers
Before attempting the MCQs, quickly revise these important points.
What are Integers?
Integers include:
Positive numbers: 1, 2, 3, 4...
Negative numbers: -1, -2, -3, -4...
Zero (0)
Integers do not include fractions or decimals.
Addition of Integers
Same signs → Add the numbers and keep the same sign.
Different signs → Subtract the smaller number from the larger one and keep the sign of the larger number.
Subtraction of Integers
To subtract an integer, change subtraction into addition and reverse the sign of the second number.
Example:
7 − (−5) = 7 + 5 = 12
Multiplication of Integers
Remember these sign rules:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
Division of Integers
Division follows the same sign rules as multiplication.
Important Properties
- Closure Property
- Commutative Property
- Associative Property
- Identity Property
- Distributive Property
Remember that subtraction and division are neither commutative nor associative.
BODMAS Rule
Always solve expressions in this order:
Brackets → Orders → Division → Multiplication → Addition → Subtraction
Important Topics Covered in Class 7 Maths Chapter 10 Operations with Integers MCQs
This MCQ set covers all the important concepts from the chapter:
- Introduction to Integers
- Addition of Integers
- Subtraction of Integers
- Multiplication of Integers
- Division of Integers
- Properties of Operations on Integers
- Order of Operations (BODMAS)
- Competency-Based Questions
- Exam-Oriented Conceptual Questions
Common Mistakes Students Should Avoid
Many students lose marks in Class 7 Maths Chapter 10 Operations with Integers MCQs because of small calculation errors. Avoid these common mistakes while solving questions:
- Do not ignore the negative sign before a number.
- Remember that subtracting a negative number becomes addition.
- Apply the correct sign rules in multiplication and division.
- Follow the BODMAS rule when more than one operation is given.
- Do not assume that subtraction and division are commutative.
- Read every question carefully before choosing an answer.
Tips to Solve Class 7 Maths Chapter 10 Operations with Integers MCQs Faster
- Check the signs of the integers before starting the calculation.
- Solve brackets first whenever they appear.
- Memorise the multiplication and division sign rules.
- Use rough work for lengthy calculations to avoid mistakes.
- Eliminate clearly incorrect options before calculating the final answer.
- Revise the properties of integers regularly to answer conceptual questions with confidence.
