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Important Questions and Answers for Class 7 Maths Chapter 2 Operations With Integers 2025-26

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Stepwise Solutions with Free PDF for Operations With Integers Class 7

Explore Important Questions Class 7 Maths Chapter 2 Operations With Integers on this page. These questions are crafted for Class 7 Maths and focus entirely on the chapter “Operations With Integers” as per the latest syllabus. Find Vedantu’s Important Questions with Answers using the primary keyword for easy exam revision.


Inside, you will also get access to class 7 maths chapter 2 operations with integers pdf and extra theory tips. This chapter explains operation with integers, negative and positive numbers, and their uses. Each worksheet and extra question is prepared to match the needs of students aiming for school exams.


All questions come with stepwise answers, helpful for scoring better. Practise high-yield questions, avoid common mistakes, and get quick revision notes. Download the free PDF of important questions for offline study and exam preparation now.


Stepwise Solutions with Free PDF for Operations With Integers Class 7

1. Multiple choice questions.


1. The product of two negative integers is:


  • (a) Always negative
  • (b) Always positive
  • (c) Zero
  • (d) Sometimes negative, sometimes positive

Answer: (b) Always positive


2. What is the value of $(–6) × (4)$?


  • (a) 24
  • (b) –24
  • (c) –10
  • (d) 10

Answer: (b) –24


3. The sum of two integers is zero only when:


  • (a) Both are positive
  • (b) Both are negative
  • (c) One is positive, one is negative, and both have same magnitude
  • (d) Both are zero

Answer: (c) One is positive, one is negative, and both have same magnitude


2. Very Short Answer (VSA).


1. What is meant by the additive inverse of an integer?


Answer: The additive inverse of an integer is the number which, when added to the original number, results in zero. For example, the additive inverse of $7$ is $–7$.


2. Write the value of $6 + (–9)$.


Answer: $6 + (–9) = –3$


3. State whether division of integers is commutative.


Answer: No, division of integers is not commutative. That means $a ÷ b$ is not equal to $b ÷ a$.


3. Short Answer Questions.


1. Explain with an example how subtracting a number is the same as adding its additive inverse.


Answer: To subtract $18$ from $7$, i.e., $7 – 18$, we can add $7$ and $–18$, since $–18$ is the additive inverse of $18$. So, $7 – 18 = 7 + (–18) = –11$. The answer is the same by both methods.


2. If the first movement of a coin is $–4$ and the final position is $5$, what is the second movement?


Answer: Let the second movement be $x$. According to the rule $P = a + b$, $5 = (–4) + x$.

  1. $5 = (–4) + x$
  2. $x = 5 + 4 = 9$
So, the second movement is $9$.


3. In an exam of 50 questions, each correct answer gives 5 marks and each wrong answer gives –2 marks. Mala answered 30 correct and 20 wrong. Find her total marks.


Answer:

  1. Marks for correct answers: $30 × 5 = 150$
  2. Marks for wrong answers: $20 × (–2) = –40$
  3. Total marks = $150 + (–40) = 110$
Mala got $110$ marks.


4. If $123 × 456 = 56088$, find the value of $(–123) × 456$ without actual multiplication.


Answer: If one integer becomes negative, the product becomes negative. So, $(–123) × 456 = –56088$.


4. True or False Questions.


1. The product of two positive integers is always positive.


Answer: True


2. When dividing two negative integers, the quotient is negative.


Answer: False


3. For any integer $a$, $–1 × a = –a$.


Answer: True


3. Fill in the Blanks Questions.


1. $35 ÷ (–5) = $ ________


Answer: –7


2. The additive inverse of $–9$ is ________.


Answer: $9$


3. $(–8) × (–2) = $ ________


Answer: $16$


4. The product of a positive and a negative integer is ________.


Answer: Negative


5. $12 + (–15) = $ ________


Answer: –3


How Operations with Integers Help Students in Maths

Learning class 7 maths chapter 2 operations with integers solutions supports students to handle positive and negative numbers, essential for understanding maths topics like algebra and equations. This chapter builds confidence as students use operations with integers class 7 worksheet and similar resources for extra practice.


Accessing operations with integers class 7 extra questions and class 7 maths chapter 2 operations with integers pdf lets students strengthen concepts with a variety of questions. Using operations with integers class 7 solutions pdf ensures students learn step-by-step approaches and avoid common calculation mistakes.


Practising with ncert class 7 maths ganita prakash part 2 pdf and operations with integers class 7 ganita prakash solutions helps students apply rules in daily problems. These resources, including operation with integers, make learning practical and fun for every learner.


FAQs on Important Questions and Answers for Class 7 Maths Chapter 2 Operations With Integers 2025-26

1. What are the most important question types in Class 7 Maths Chapter 2 Operations With Integers?

Class 7 Maths Chapter 2 Operations With Integers commonly features MCQs, very short, short, long answer, and case-based questions. Focus on solving operations, word problems, and reasoning-based questions. Practice different formats using class 7 maths chapter 2 operations with integers solutions for strong exam preparation.

2. How can I use important questions class 7 maths chapter 2 operations with integers solutions for effective revision?

Use the solutions to practice and check step-by-step methods for each question. Mark the keywords and calculation steps. If you make an error, review the solution and try the question again from class 7 maths chapter 2 operations with integers pdf or your worksheet.

3. Which subtopics from Chapter 2 have the highest chance of coming in exams?

High-weightage subtopics include:

  • Addition and subtraction of integers
  • Multiplication of integers
  • Application-based and word problems
  • Comparing and ordering integers

Start with these using your operations with integers class 7 extra questions set.

4. How should I structure long or case-based answers to get full marks in this chapter?

Write each calculation step-by-step and highlight important points using math statements and key terms. For application-based answers:

  • State what is given
  • Show each calculation clearly
  • Box the final answer

This matches CBSE step marking.

5. Where can I find a PDF of important questions with answers for operations with integers?

Many study resources provide free PDFs for important questions class 7 maths chapter 2 operations with integers solutions. Look for operations with integers class 7 solutions pdf to download, which usually includes key questions, answers, and tips for CBSE exams.

6. What are common mistakes to avoid while solving operations with integers important questions?

Students often:

  • Ignore sign rules for integers
  • Miss calculation steps
  • Forget to include final statement or unit

Double-check each step and always write the sign for every integer operation.

7. How can I practise for time management in exam using operations with integers class 7 worksheet or extra questions?

Set a timer for each set of questions from your worksheet or important questions set. Start with simpler sums and increase difficulty. Underline steps as you write to make answers clear and save time during revision and checking.