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Answers
As we know, every positive number occupies space right to the origin while the negative numbers are present on the left side of the origin. Let us learn to represent a rational number on a number line with few steps.
Draw a line and locate the point having the coordinate as ‘0’. This point is known as the origin.
Rational numbers
If the given number is positive, locate it on the right side of the origin. If it is a negative number, locate it on the left side of zero.
Divide each unit into the values which are equal to the denominator of the fraction. For example: for representing 4/5 on the number line you need to divide each unit into 5 subunits.
Example: Represent 2/3 on a number line.
Solution: 2/3 is a positive rational number and it is known that 2/3 is less than 1 and greater than 0. Therefore, 2/3 lies between 0 and 1 on the number line.
Here, the denominator is 3 so we will divide each unit length into 3 subunits between 0 and 1.
Rational numbers
We know every rational number can be expressed as decimal expansions. Here,
⅔= 0.6666666666666667
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