We have learnt about very big numbers (a number with more number of digits) and fractions which is less than 1. We often use fractions like 1/4, 1/2, 3/4.
By addition or subtraction of fractions, we got fractions like 3/8, 5/8, 7/16.
Very numbers also can be written as fractions. Why can't we use fractions to represent all small numbers ?
It is because of the difficulties in using fractions.
(2/3) + (3/4) = ?
We have to convert them into like fractions by finding equivalent fractions and then add.
It is easy, if all the fractions are in the form of 1/10, 1/100, 1/1000...
(15/100) + (235/1000) can be easily added as
(150/1000) + (235/1000) = 385/1000
It was easy to use multiples of 10 in measurements. It will be easy if small numbers can be written as fractions with multiples of ten as denominators.
Look at the figure given below.
David has 6 candy bars, each connected with 10 connected pieces.
He gave some pieces to his friends and he finds that
1 piece out of 10 from the first bar
5 pieces out of 10 from the second bar
2 piece out of 10 from the third bar
3 pieces out of 10 from the fourth bar
6 piece out of 10 from the fifth bar
8 pieces out of 10 from the sixth bar
We can write them as
1/10, 5/10, 2/10, 3/10, 6/10, 8/10 in fractions.
This can be written as 0.1, 0.5, 0.2, 0.3, 0.6, 0.8 in dec. numbers.
0.1 is read as zero point one. The point between between the numbers is called decimal point.
Sometimes decimal is also known as "dec."
A number in which we have "point" is called as dec. number.
A dec. number has two parts namely an integral part and a dec. part.
1) Let us consider the dec. number 0.6
0.6 can be written as 0 + 0.6
Here, integral part = 0 and dec. part = 6
2) Let us consider the dec. number 7.2
7.2 can be written as 7 + 0.2
Here, integral part = 7 and dec. part = 2
In a dec. number the digits to the left of the dec. point is the integral part.
The digits to the right of the dec. point is the dec. part.
The value of all the dec. parts is less than 1.
Dec. place value is nothing but the one which explains the position of each digit which comes after the dec. point.
To have better understanding of the above chart, let us look at an example.
After having gone through the stuff given above, we hope that the students would have understood "Dec. numbers".
Apart from the stuff given above, if you want to know more about "Dec. numbers", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Customary units worksheet
Integers and absolute value worksheets
Nature of the roots of a quadratic equation worksheets
Point of intersection
Area of triangle
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Converting repeating decimals in to fractions