Class 7 Mathematics — Chapter 2: OPERATIONS WITH INTEGERS

What you'll learn

• ▸Finding Integers from Sum and Difference
• ▸Representing Integer Addition on a Number Line
• ▸Additive Inverse
• ▸Integer Subtraction with the Token Model
• ▸Multiplication of Integers with the Token Model
• ▸Rules for Multiplying Integers
• ▸Multiplying Two Negative Integers

Chapter Summary

--- PAGE 1 --- 2 OPERATIONS WITH INTEGERS 2.1 A Quick Recap of Integers Rakesh's Puzzle: A Number Game ? Rakesh gives you a challenge. “I have thought of two numbers”, he says. “Their sum is 25, and their difference is 11.” ? Can you tell me the two numbers? You don’t need to use any formulas. Just try different pairs of numbers and then check: 1. Do the two numbers add up to 25? 2. Is the difference between them 11? (Remember: the difference means first number – second number.) Write your guesses like this: First Number Second Number Sum Difference 10 15 25 –5 20 5 25 15 19 6 25 13 18 7 25 11 ? Did you find the right pair? ? Now that you've found the correct pair, Rakesh gives you a second challenge: “Think of two numbers whose sum is 25, but their difference is –11.” Use the same method. Try different pairs of numbers and fill in the t…

Practice Questions from this Chapter

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1. Explain negative numbers simply. Get Solution →
2. Show a real-world use for integers. Get Solution →
3. Quiz me on integer multiplication. Get Solution →
4. In the token model described in the chapter, what does a single green token represent? Get Solution →
5. When modeling the carrom coin's movement on a number line, which direction is considered positive? Get Solution →
6. What is the additive inverse of the integer 18? Get Solution →
7. Using the token model, the operation 4 × 2 is interpreted as adding 2 positive tokens to a bag how many times? Get Solution →
8. According to the text, what is the result of a positive integer multiplied by a positive integer? Get Solution →

Did you know?

• 💡 Ancient Chinese texts used red rods for positive numbers and black rods for negative numbers.
• 💡 The number zero was once thought to be evil by some ancient cultures.
• 💡 Temperature scales often use negative numbers to show how cold it is below freezing.
• 💡 Adding a negative number is exactly the same as subtracting a positive number.
• 💡 A number line stretches infinitely in both positive and negative directions.

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