Thursday 19 January 2012

Number Line in Grade V

Hello friends, we hope you have understood our previous articles. Today I am going to discuss number line and representation on a number line in mathematics which is included in every education board for grade V. So friends let’s start with number line. In previous article we have discussed the lines. Now we will discuss the number line.
In mathematics, a number line is an image of a straight line which has several points which are real numbers(Real Numbers Definition). These points are called integer. Thus, real numbers are represented in each direction.
A line number has positive number and negative number that is held at correct points online, in zero condition it’s in center point of the number line where right side is positive number and left side is negative number.
Number line is a method that specifies the particular sequence of integer. In this sequence assigning number to lines is to assign every line a unique number, which is starting with 1 and also incremented by 1 for each successive line .The number line is usually represented  by horizontal line as well as vertical line as shown in this figure.

Here are some steps to draw a number line
1.       first you draw a straight line because it is represented by horizontal line
2.       draw the arrow both of end number
3.        you point the origin on the number line
4.        positive number should be on the right side at the number line
5.       Negative number should be left side at the number line
6.       Mark all integer number over the number line
7.       Plot the given number over the number line.
Let’s see the number line based problem and for more practice you can refer to Number Line Worksheets.
Example:
 Points on a number line: there are two people X, Y. X walks towards 2 points and Y walk backwards 3 points.

The solution of this problem is given below
In this, first X is start from 0. In this problem X moves towards 2 point.
So X person is right side on the number line position of 2.
Second person   starting from 0. In this problem Y moves backwards to 3 point.
So Y person is left side on the number line position of -3.

So friends let’s see the other part of this topic which is Decimal on number line:
In mathematics decimal number is represented by placing a point on number line. In other word you can say that a fraction which has denominator with power of ten is denoted by decimal point. The number system is also developed with ten as base. The decimal point for number increases in powers of ten from right to left and decrease from left to right in same powers.
Basically number line is used for locating a decimal number at corresponding place. By this figure you can understand.

Below you can see decimal point on a number line and for further details about number line refer this:


Now let us discuss about how a decimal number is written on a number line and how fractions and decimals are converted into each other.
When a denominator of fraction is 10 or power of 10 then number is converted into decimal. Let’s see example:
2/10, 14/100,136/1000 are also written as
2/10 = 0.2
14/100= 0.14
136/1000=0.136

So friends that was the brief definition of the number line for grade V.Here you have seen that how to draw a number line.  It has another properties which is discuss in next session and in that we will have discussions related to Math Blog on Grade VI also.

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