Number Sense Tutorial

Author: nayaknandan85

Introduction to number sense tutorial:

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.

Number sense is explained with examples and practice problems very interactively by tutorial. So students are getting number sense help by tutorial for their studies.

Examples to number sense tutorial:

Example 1:

Add the following decimal numbers 65.45 + 6.892

Solution:

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

65. 45 has two decimal place but 6.892 has three decimal place. Hence, we have to add 0 with the number 65.45, so we get 65.450

That is, 65.45+6.892 = 65.450+6.892

11 1
65.450
+ 6.892
72.342

Example 2:

Find the square root of the following numbers `sqrt(289)` .

Solution:

`sqrt(189) ` = `sqrt(17 xx 17)` = 17

Example 3:

Write the standard for the following number 69.089 `xx` `10^3`

Solution:

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

69.089 `xx` 10 `xx` 10 `xx` 10

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

69089

Example 4:

Add the following mixed numbers `8 1/3` and `8 1/4` .

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.

`8 1/3` => `((8 xx 3) + 1)/3` => `(24 + 1)/3` => `25/3`

`8 1/4` => `((8 xx 4) + 1)` => `(32 + 1)/4` = `33/4`

Now we can add both improper fraction

`25/3` + `33/4` here, denominators are not same. So that, we have to find LCM. The LCM is 12

The denominator 3 from the fraction `25/3` is 4 times in the LCM. So we have to multiply the numerator 25 by 4. So we get `100/12`

The denominator 4 from the fraction `33/4` is 3 times in the LCM. So we have to multiply the numerator 33 by 3. So we get `99/12`

`(100 + 99)/12`

`199/12`

Practice Problems to number sense tutorial:

Problem 1:

Add the following decimal numbers 6.45 + 6.82

The answer is 13.27

Problem 2:

Find the square root of the following numbers `sqrt(324)` .

The answer is 18

Problem 3:

Write the standard for the following number 675.89 `xx` ` 10^3`

The answer is 675890

Problem 4:

Add the following mixed numbers `1 5/3` and `2 6/4` .

The answer is `22/12`

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.

Article Source: http://www.articlesbase.com/k-12-education-articles/number-sense-tutorial-6617763.html

About the Author

Comprehend more on about consecutive integer and its Circumstances. Between, if you have problem on these topics Linear Inequalities Please share your views here by commenting.