Class 8 Maths - MAHARASHTRA
Number Play
The chapter 'Number Play' in Class 8 Mathematics under the Maharashtra State Board (MSBSHSE) introduces students to the fascinating world of numbers through puzzles, number patterns, and general forms of numbers. It helps students understand how two-digit and three-digit numbers can be expressed in terms of their digits using place value. This chapter is essential for building a strong foundation in algebra and logical reasoning. In board exams, questions from this chapter test the student's ability to set up linear equations from word problems involving digits, making it a high-scoring and conceptually important topic for upcoming academic assessments.
Start Learning FreeKey Concepts
General Form of a Two-Digit Number
Any two-digit number with tens digit 'a' and units digit 'b' can be written in its expanded general form as 10a + b.
General Form of a Three-Digit Number
Any three-digit number with hundreds digit 'a', tens digit 'b', and units digit 'c' is expressed in general form as 100a + 10b + c.
Reversing Digits of a Number
When the digits of a two-digit number 10a + b are reversed, the new number formed becomes 10b + a.
Divisibility Tests using Algebra
Algebraic expressions help prove standard divisibility rules for numbers, such as divisibility by 9, 3, and 11, by analyzing the sum of their digits.
Number Puzzles
Puzzles where letters or symbols replace digits in arithmetic operations, solved using logical deduction and basic properties of numbers.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 8 Mathematics examinations, 'Number Play' typically carries around 4 to 6 marks. Common question types include word problems based on finding unknown digits of a number, proving divisibility rules using algebraic expansions, and solving cryptarithmetic puzzles.
Frequently Asked Questions
Why do we write a two-digit number as 10a + b instead of ab?
In algebra, 'ab' means a multiplied by b. To represent a two-digit number where 'a' is the tens digit and 'b' is the units digit, we must use the place value expansion 10a + b.
How do I solve word problems where digits of a number are interchanged?
First, assume the tens and units digits as variables (like 'a' and 'b'). Write the original number as 10a + b and the reversed number as 10b + a, then set up an equation based on the given condition.
Are number puzzles asked in the final exams?
Yes, simple puzzle-based questions where you need to find missing digits in addition or multiplication problems frequently appear as 2-mark or 3-mark questions.
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