Introduction for free number look up:

In mathematics, Number system is called as system of numeration. Number systems are used to express the quantities for counting, defining order, comparing the quantities, calculating numbers and denoting values. Number system includes natural numbers, integers, rational numbers, algebraic numbers, real numbers, complex numbers, p-adic numbers, surreal numbers and hyper real numbers.

The free number look up is give with examples and practice problems very interactively So students are getting free number look up to their studies.


Examples for free number look up:


Example 1:

Add the following decimal numbers 105.45 +10.892

Solution:

Addition operation for decimal numbers is just like the integers addition. In this problem

105. 45 has two decimal place but 10.892 has three decimal place. Hence, we have to add 0 with the number 105.45, so we get 105.450

That is, 105.45+10.892 = 105.450+10.892

11
105.450
+ 10.892
116.342

Example 2:

Find the square root of the following numbers `sqrt(625)` .

Solution:

`sqrt(625)` = `sqrt(25 xx 25)` = 25

Example 3:

Write the standard for the following number 109.089 `xx` `10^3`

Solution:

109.089 `xx` `10^3 ` which can be written as

109.089 `xx ` 10 `xx` 10 `xx` 10

109.089 `xx` 1000 now we have to shift the decimal point to three decimal points. So that we will get

109089

Example 4:

Add the following mixed numbers 11 2/3 and 11 2/4.

Solution:

We have to convert the following mixed numbers in to improper fraction. For this, denominators are multiplied with the whole number and then add the result of the product with numerator. So that, we will get the improper fraction.

`11 2/3` => `((11 xx 3) + 2)/3` => `(33 + 2)/3` => `35/3`

`11 2/4` => `((11 xx 4) + 2)/4` => `(44 + 2)/4` => `46/4`

Now we can add both improper fraction

`35/3` + `46/4` here, denominators are not same. So that, we have to find LCM. The LCM is 12

The denominator 3 from the fraction `35/3` is 4 times in the LCM. So we have to multiply the numerator 35 by 4. So we get `140/12`

The denominator 4 from the fraction 46/4 is 3 times in the LCM. So we have to multiply the numerator 46 by 3. So we get `138/12`

`(140 + 138)/12`

`278/12`


Practice Problems for free number look up:

Problem 1:

Add the following decimal numbers 10.45 + 10.82

The answer is 21.27

Problem 2:

Find the square root of the following numbers `sqrt(676)` .

The answer is 26

Problem 3:

Write the standard for the following number 1075.89 xx 10^3

The answer is 1075890

Problem 4:

Add the following mixed numbers `5 2/3` and `5 2/4` .

The answer is 13