Number System

Number system is defined as the proper understanding and usage of the numbers in the various places. Numbers are the basic building stones of mathematics.Number system is a way of counting using a particular base.There are different types of numbers exist, we will learn about them in brief at number system.
It includes:

• Ability to find the relative values of a number.
• How to use a number in different arithmetic operations like addition, subtraction, multiplication and division
• Finding the problem solving strategies

Numbers system covers various topics. They are,

• Estimating and rounding
• Rounding and addition
• Rounding and product
• Rounding and division

  Estimating and Rounding

  The rounded number value will be same as the original number value but it will less exact. It is an approximate value of the original number.
  Rules:
  

  • If the number we are rounding is followed by number greater than or equal to 5, then round the number up.
  • If the number we are rounding is followed by number less than 5, then round number down.

  Example 1:
  Round the number 46 to nearest ten
  Solution:
  Here 6 is greater than 5, so it is rounded up
  46 is rounded to near ten digit 50
  Example 2:
  Round the number 43 nearest ten
  Solution:
  Here 3 is less than 5, so it is rounded down
  43 is rounded down to near ten digit 40
  Example 3:
  Round the number 1975 to nearest thousand
  Solution:
  Here it is rounded to 2000
  

  Rounding and Product

  Here, the numbers are rounded and then multiplication operation is carried on.
  Example1:
  62 x 56
  solution :
  Rounded value of 62 is 60
  Rounded value of 56 is 60
  Product = 60 x 60
  Product = 3600
  Example 2:
  25 x 9
  solution:
  Rounded value of 25 is 30
  Rounded value of 9 is 10
  Product = 30 x 10
  Product is 300
  The same procedure is also carried out in decimals.
  

  Rounding and Division

  Here, first round up the given numbers and then division of numbers are performed.
  Example 1:
  4218
  Solution:
  Rounded value of 42 is 40
  Rounded value of 18 is 20
  Now dividing the rounded numbers
  4020
  = 2
  Example 2:
  496
  Solution:
  Rounded value of 49 is 50
  Rounded value of 6 is 10
  Now dividing the rounded numbers
  5010
  = 5
  The same procedure is carried out for decimal rounding also.
  Number system is a wide topic in mathematics and new research has been held based on number system frequently.
  

  Rounding and Addition

  Here, we have to round the number and we have to perform the addition.
  Example 1:
  33 + 56
  Solution:
  Rounded value of 33 is 30
  Rounded value of 56 is 60
  Sum of the numbers = 30 + 60 = 90
  Example 2:
  23+34
  Solution:
  Rounded value of 23 is 20
  Rounded value of 34 is 30
  Sum = 20 +30 = 50