# Rational number on number line

**Basic rules on representing rational no. on number line**

1) If the rational no.(fraction) is proper then, it lie between 0 and 1.

2) If the rational no.(fraction) is improper then, first convert it to mixed fraction and then the given rational no. lie between the whole number and next whole number.

Use the following steps to represent 4 / 7 on the number line.

1) Draw a number line.

2) As the number 4 /7 is a positive number so it will be on right side of zero.

3) So after zero mark, 1/ 7 , 2 /7 , 3 / 7, 4 / 7, 5/ 7 , 6/ 7 , ( 7 / 7 = 1).

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**Example :**

Represent -5 / 3 on the number line.

**Solution:**

1) Draw a number line.

2) As the number – 5 / 3 is a negative number so it will be on left of zero. -5/3 can be written in mixed fraction as -1 2/3. So the number lie between -1 and -2.

3) So left side of zero mark, -1 / 3 , - 2 / 3 , ( -3 /3 = -1) , -4 /3 , -5 / 3,

( -6 / 3 = -2 )

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3) Between which two numbers 7/3 lie.

**Solution :**

1) If the given rational no. is in improper form then convert it to mixed fraction.

7/3 = 2 ⅓

The whole number is 2 so the given rational no. lie between 2 and 3.

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2) Between which two numbers -13/3 lie.

**Solution :**If the given rational no. is in improper form then convert it to mixed fraction.

-13/3 = -4 ⅓

The whole number is -4 so the given rational no. lie between -4 and -5.

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**Practice**

1) Represent -2/3, 7/2,4/5 and 5 ½ on the number line.

2) Between which two numbers the following rational no.lie.

a) -8/3

b) 11/2

c) 3/2

d) -5/3

**Rational number**

• Representation of rational number on number line

• Comparison of rational number

• Addition rational numbers

• Subtraction of rational numbers

• Conversion of rational numbers to decimal

• Irrational Numbers

• Representation of rational number on number line

• Comparison of rational number

• Addition rational numbers

• Subtraction of rational numbers

• Conversion of rational numbers to decimal

• Irrational Numbers

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