Class 8 Maths — Chapter 5: Number Play
Free AI tutor + NCERT notes for Chapter 5: Number Play. 7 topics covered. Ask any question by voice or text in Hindi or English.
What you'll learn
- ▸Parity of Numbers
- ▸Parity in Expressions
- ▸Generalization using Algebra
- ▸Factoring for Parity Proofs
- ▸Divisibility by 4
- ▸Algebraic Representation of Number Types
- ▸Properties of Factors and Multiples
Chapter Summary
--- PAGE 1 --- NUMBER PLAY 5.1 Is This a Multiple Of? Sum of Consecutive Numbers Anshu is exploring sums of consecutive numbers. He has written the following— 7 = 3 + 4 10 = 1 + 2 + 3 + 4 12 = 3 + 4 + 5 15 = 7 + 8 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5 Now, he is wondering— * "Can I write every natural number as a sum of consecutive numbers?" * "Which numbers can I write as the sum of consecutive numbers in more than one way?" * "Ohh, I know all odd numbers can be written as a sum of two consecutive numbers. Can we write all even numbers as a sum of consecutive numbers?" * "Can I write 0 as a sum of consecutive numbers? Maybe I should use negative numbers." ? Explore these questions and any others that may occur to you. Discuss them with the class. Math Talk ? Take any 4 consecutive numbers. For example, 3, 4, 5, and …
Practice Questions from this Chapter
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- Explain algebraic parity proofs. Get Solution →
- Generate more consecutive sums. Get Solution →
- Quiz me on number properties. Get Solution →
- According to the text, how many different expressions are possible when placing '+' and '−' signs between 4 consecutive numbers? Get Solution →
- What is the result of `odd ± odd` according to the parity rules listed in the chapter? Get Solution →
- The text explains that even numbers can be of two types based on the remainder they leave when divided by what number? Get Solution →
- In the expression `a + b − c − d`, if you replace `+b` with `−b`, by how much does the value of the expression change? Get Solution →
- According to the text, if M and N are multiples of a, what can be said about their sum, M + N? Get Solution →
Did you know?
- 💡 The number 2 is the only even number that is also a prime number.
- 💡 Zero is an even number, but it is neither positive nor negative.
- 💡 The sum of any three consecutive numbers is always perfectly divisible by three.
- 💡 Many ancient civilizations, like the Babylonians, used a base-60 number system.
- 💡 The number one is the only natural number that is neither prime nor composite.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 7 key topics: Parity of Numbers, Parity in Expressions, Generalization using Algebra, Factoring for Parity Proofs, Divisibility by 4, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 5: Number Play important for board exams?
Class 8 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.
Can I get NCERT solutions for this chapter in Hindi?
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