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General Form of Numbers

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General Form of Numbers - Lesson Summary

Various types of numbers such as Natural numbers, Whole numbers, Integers, Rational numbers and the various properties such as closure, associative, commutative and distributive.

2-digit number
The number in the general form can be written as for example 26 = 2 x 10 + 6. General Form of a 2-digit Number 10 × a + 1 × b
  1. The sum of a 2-digit number and the number obtained by interchanging its digits is always divisible by 11.
  2. The difference between a 2-digit number and the number obtained by interchanging its digits is always divisible by 9.

Assume ab is a 2-digit number.
   •  a is the tens digit
   •  b is the ones digit

ab = 10 × a + 1 × b.

3-digit number
General form of a 3-digit number is 100 × a + 10 × b + 1 × c.
  1. The difference between a 3-digit number and a number obtained by reversing its digits is always divisible by 99.

Assume abc is a 3-digit number, where:
     •  a is the hundreds digit
     •  b is the tens digit
     •  c is the ones digit

abc = 100 × a + 10 × b + 1 × c

Letters for digits
Assume that each letter in a puzzle stands for just one digit and each digit is represented by a one letter, so it is like cracking a code. Here problems of addition and multiplication to solving puzzles.

For example, eighty one will be written as 81 not as 081 or 0081.

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