How many practice questions are available for Integer Operations?

SparkEd Math offers 60+ practice questions for Integer Operations across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Integer Operations content free on SparkEd Math?

Yes! All Integer Operations content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Integer Operations differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Integer Operations problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Integer Operations content aligned with the CBSE syllabus?

Yes, all Integer Operations questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Integer Operations — Class 7 CBSE (2025-26)

About Integer Operations — Class 7 CBSE

Master multiplication and division of integers with properties. This topic is part of the CBSE Class 7 mathematics syllabus (chapter: Chapter 10). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Integer Operations

Understanding Integer Multiplication: The Basics
Multiplying Integers with Different Signs
Dividing Integers: The Inverse Operation
Properties of Integer Operations (Multiplication)
Mixed Operations and Problem Solving with Integers

Interactive lesson · about 15 minutes · checkpoint question after every unit

Integer Operations — solved examples for Class 7 CBSE

Example 1easy

Which of the following statements is true regarding the product of a positive integer and a negative integer?

A)The product is always a positive integer.
B)The product can be positive or negative depending on the numbers.
C)The product is always a negative integer.
D)The product is always zero.

Step-by-step solution

When multiplying two integers with different signs (one positive and one negative), the product is always negative.
For example, 5 × (-3) = -15 or (-2) × 7 = -14. The sign of the product is consistently negative.

Answer: The product is always a negative integer.

Example 2medium

What is the product of -15 and 8?

A)-120
B)120
C)-7
D)7

Step-by-step solution

Multiply the absolute values: 15 × 8 = 120.
Since one integer is negative and the other is positive, the product will be negative.
Therefore, -15 × 8 = -120.

Answer: -120

Example 3hard

Evaluate: [(-1) × (-1) × (-1) × ... (99 times)] - [(-1) × (-1) × (-1) × ... (100 times)]

A)-2
B)-1
C)0
D)2

Step-by-step solution

The product of an odd number of negative ones is -1. So, (-1) multiplied 99 times is -1.
The product of an even number of negative ones is +1. So, (-1) multiplied 100 times is +1.
The expression becomes: [-1] - [+1].
Calculating the final value: -1 - 1 = -2.

Answer: 0

Practice questions on Integer Operations

Q1.easy
What is the product of (-9) and (-7)?
1. A)-63
2. B)63
3. C)-16
4. D)16
Show answer
Answer: 63
Hint: Recall the rule for multiplying two negative integers.
Q2.easy
A temperature change of -3°C occurs every hour. If this change continues for 4 hours, what will be the total change in temperature?
1. A)12°C
2. B)-7°C
3. C)7°C
4. D)-12°C
Show answer
Answer: -12°C
Hint: A decrease or drop is represented by a negative integer. Multiply the rate of change by the number of hours.
Q3.easy
Rohan calculated (-8) × 6 as -48. His friend, Priya, argued that the answer should be 48 because 'two negatives make a positive'. Who is correct and why?
1. A)Priya is correct because 'two negatives make a positive' applies here.
2. B)Rohan is correct because when multiplying a negative integer by a positive integer, the product is always negative.
3. C)Priya is correct because the absolute value of 8 is greater than 6.
4. D)Rohan is incorrect because the answer should be -2.
Show answer
Answer: Rohan is correct because when multiplying a negative integer by a positive integer, the product is always negative.
Hint: Remember the rules for multiplying integers with *different* signs versus *same* signs.
Q4.medium
Divide -144 by -12.
1. A)-12
2. B)-132
3. C)12
4. D)132
Show answer
Answer: 12
Hint: When dividing two negative integers, what is the sign of the quotient?
Q5.medium
Calculate the value of (-2) × (-5) × 3 × (-1).
1. A)30
2. B)-30
3. C)-10
4. D)10
Show answer
Answer: -30
Hint: Count the number of negative signs in the product. If it's odd, the final product is negative. If it's even, the final product is positive.
Q6.medium
A submarine is at 200 meters below sea level. If it ascends at a rate of 15 meters per minute, what will be its depth (in meters) after 8 minutes? (Consider depth below sea level as negative.)
1. A)-120 m
2. B)-320 m
3. C)-80 m
4. D)-185 m
Show answer
Answer: -80 m
Hint: Ascent means a positive change in depth. Calculate the total change and add it to the initial depth.
Q7.hard
A submarine is at a depth of -1500 meters. It ascends at a rate of 25 meters per minute for 15 minutes. After this, it descends 10 meters per minute for 5 minutes. What is the final depth of the submarine?
1. A)-1175 meters
2. B)-1100 meters
3. C)-1125 meters
4. D)-1200 meters
Show answer
Answer: -1175 meters
Hint: Calculate the total change in depth for each movement (ascend and descend) and then add/subtract these changes from the initial depth.
Q8.hard
Rohan was asked to solve the expression: 72 ÷ (-8) × (-3) + (-12). He wrote his steps as follows:
Step 1: 72 ÷ (-8) = -9
Step 2: -9 × (-3) = 27
Step 3: 27 + (-12) = 15
Step 4: The final answer is 15.
Which property or rule did Rohan correctly apply, or where did he make a mistake?
1. A)He correctly applied the order of operations (BODMAS/PEMDAS).
2. B)He made a mistake in Step 1 by incorrectly dividing.
3. C)He made a mistake in Step 2 by incorrectly multiplying.
4. D)He made a mistake in Step 3 by incorrectly adding.
Show answer
Answer: He correctly applied the order of operations (BODMAS/PEMDAS).
Hint: Review the order of operations: Division and Multiplication are performed from left to right, followed by Addition and Subtraction from left to right. Check each step for correct integer arithmetic.
Q9.hard
If an integer 'p' is multiplied by -15, and then 25 is added to the product, the result is -185. What is the value of 'p'?
1. A)14
2. B)10
3. C)-14
4. D)-10
Show answer
Answer: 14
Hint: Set up an equation based on the given information. Work backward using inverse operations to isolate and find the value of 'p'.

These are 9 of the 60 questions available for Integer Operations. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.