List of Real Numbers

Let us study about list of real numbers. The various kinds of numbers together form the math problems for different methods.
Real numbers are also seemed to be as one type of numbers of math world. These real numbers are defined as the numbers that are with the combination of both definition of rational and irrational numbers.
Some of the examples for the list of real numbers are discussed in detail as below.

List of Real Numbers:

List of real numbers – example 1:

Add the following real rational numbers `1/2, 3/1, 36/6, 7/2, sqrt(4) and 5.2`

Solution:

The real rational numbers are `1/2, 3/1, 36/6, 7/2, sqrt(4) and 5.2`
Adding the given real rational numbers as follows:
`1/2 + 3/1 + 36/6 + 7/2 + sqrt(4) + 5.2`
0.5 + 3 + 6 + 3.5 + 2 + 5.2
Therefore the total value of the given real rational numbers is found to be as ’20.2’

List of real numbers – example 2:

Add the following real irrational numbers 23.232…, `sqrt(3)` , 3.3432…, `sqrt(7) and sqrt(5)`
Solution:

The real irrational numbers are 23.232…, `sqrt(3)` , 3.3432…, `sqrt(7) and sqrt(5)`
Adding the given real irrational numbers as follows:
23.232.. + `sqrt(3) ` + 3.3432.. + `sqrt(7) + sqrt(5)`
23.232.. + 3.3432..+ `sqrt(3) + sqrt(7) + sqrt(5)`
23.232.. + 3.3432.. + `sqrt(15)` (first adding all the square root values together)
23.232.. + 3.3432.. + 3.8729..
Therefore the total value of the given real irrational numbers is found to be as ’30.4481..’

List of real numbers – example 3:

Multiply the following real rational numbers `1/2, 3/1, 36/6, 7/2, sqrt(4) and 5.2`

Solution:

The real rational numbers are `1/2, 3/1, 36/6, 7/2, sqrt(4) and 5.2`
Multiplying the given real rational numbers as follows:
`1/2 * 3/1 * 36/6 * 7/2 * sqrt(4) ` `* 5.2`
0.5 * 3 * 6 * 3.5 * 2 * 5.2
Therefore the multiplied value of the given real rational numbers is found to be as ’327.6’

List of real numbers – exercises:

Add the following real rational numbers `12/3, 4/1, 18/6, 9/2, sqrt(36)` and 0.1 (Answer: 21.6)
Multiply the following real rational numbers `12/3, 4/1, 18/6, 9/2, sqrt(36)` and 0.1 (Answer: 129.6)
Add the following real irrational numbers 3.8782…, `sqrt(11)` , 0.372…, `sqrt(17)` and `sqrt(2)` (Answer: 9.3554…)