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

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

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.

Here, first round up the given numbers and then division of numbers are performed.

Example 1:

$\frac{42}{18}$

Solution:

Rounded value of 42 is 40

Rounded value of 18 is 20

Now dividing the rounded numbers

$\frac{40}{20}$

= 2

Example 2:

$\frac{49}{6}$

Solution:

Rounded value of 49 is 50
Rounded value of 6 is 10

Now dividing the rounded numbers

$\frac{50}{10}$

= 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.

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