CHAPTER -1

KNOWING THE NUMBERS

 

Comparing  Shifting Digits, Revisiting Place Value and Large Numbers

Numbers are compared to check which Number is Greater or smaller than the other number. There are different ways to know that a number is smaller or Greater.

These are:

If the numbers used in the question is different. The number having next number is smaller and the other number is Bigger.

 For Example:  1. Find out Greatest Number from 125 and 120.

Solution: 125 is bigger number and 120 is smaller Number. Hence the number 125 is greatest.

 2. Find out greatest and smallest number from 320, 1340, 158, 228, 5446, and 4525

Solution: Here 5446 is the greatest and 158 is the smallest.

If the number of digits is equal than the number at the greatest place is compared.

 If the integers at the greatest place are different, the greater value is larger number and the smaller value is the smaller number.

 For Example: 1.Compare 285 and 685,

Solution: The numbers of integers are same, but number at greatest (then hundreds) place, is 2 and 6. Since 6 is greater number than 2, hence 685 is greater and 285 is smaller.

If the integers at the greatest place are equal, then another place is compared and so on.

For Example: 1. Compare 353 and 335.

Solution:  The number of integers and number at greatest place are same then we will check the second greatest number place and compare both the numbers. Since 5 is advanced than 3. Therefore 353 is greater number and 335 is smaller number

 2. Compare among 478542, 478849 and 478843.

Solution: There are same number of integers and number at the greatest integers places are same for last three positions (4th place numbers are same for all the numbers), (5th place numbers are same for all the numbers) and (6th place numbers are same for all the numbers) and 2nd place is also same for all the numbers).3rd place number is same for 

Second and third digit. So now we will compare first digit 3rd place number with another two numbers third place. Since 8 is bigger than 5.

 

 

So 478542 is smaller number when compared 3rd position number (8 is greater than 5) with fist number to another two numbers.

Numerals

One of the early systems of writing numbers  is the system of Roman Numerals. This system is still used in different places. For Example, we can see the use of Roman Numerals in  Clock. It's also used in classes for the School time table.
Roman Numerals are expressed by seven letters of the Alphabets.

Rules of the System

The Roman  Numerals  I, II, III, IV, V, VI, VII, VIII, IX, X denote number 1 to 10 . Then

XI for 11,

XII for 12 … till XX for 20.
VI = 5 +1 = 6,

XII = 10 +2 = 12 and

LXV = 50 +10 + 5 = 65