Worksheet on Standard form of a Rational Number

Practice the questions given in the worksheet on standard form of a rational number. We know, a rational number a/b is said to be in standard form if a and b are integers having no common divisor other than 1 and b is positive.

For examples: Convert the rational number 33/-44 in standard form.

33/-44 = 33 × (-1)/(-44) × (-1) = -33/44

The greatest common divisor of 33 and 44 is 11.

Now, dividing the numerator and denominator of 33/-44 by 11, we get

Thus, -33/44 = (-33) ÷ 11/44 ÷ 11 = -3/4

Therefore, the standard form of -33/44 is -3/4.

The questions are based on expressing a given rational number in the standard form.


1. Write each of the following rational numbers in the standard form:

(i) 3/15                   

(ii) -12/44        

(iii) 299/-161            

(iv) -63/-210                   


2. Convert the following rational numbers in the standard form:

(i) 39/-91               

(ii) -20/-36

(iii) 68/-119         

(iv) -195/275


Answers for the worksheet on standard form of a rational number are given below to check the exact answers of the above questions on converting a rational number to its standard form.


Answers:


1. (i) 1/5           

(ii) -3/11   

(iii) -13/7      

(iv) 3/10              


2. (i) -3/7                 

(ii) 5/9            

(iii) -4/7     

(iv) -39/55

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Rational Numbers

Introduction of Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Addition of Rational Numbers

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

To Find Rational Numbers