Most students of mathematics would have heard about the term ‘rational number’ while studying the subject. The word rational denotes that it makes sense or conveys a logical interpretation followed by a reason. In math, it is has a different meaning altogether as it is derived from the word ratio.

Simply put, a rational number could be expressed as a ratio of integers. An irrational number, on the other hand, is not rational. Coefficients sometimes would fall under the category of rational numbers owing to the term ‘rational’. For instance, a rational point would be termed as a point having coordinated with rational coordinates. However, the rational curve is not to be misunderstood as it is just a curve with parameters defined by rational functions.

The rational number with a decimal expansion would always either begin with the repetition of the digit sequence with a similar finite nature repeatedly or would terminate after some finite digits. Also, the rational number would convey any termination or recurrence of decimals. The math formula we just mentioned applies to the integer base and the decimal numeral system. The last digits of rational numbers would repeat indefinitely if we can express them in the form of a decimal number like the fraction 10/3 since it is equal to the number with decimals like 3.333.

The rational numbers math worksheets are designed to help the students where numbers could be expressed in the form x/y, where y is a non – zero integer and x is an integer. The type of questions asked in the worksheet would include beneficial results on rational numbers, negative rational numbers, positive rational numbers, and rational numbers. 

Students can download PDFs of class-wise worksheets on rational numbers. Rational numbers worksheets for grades 7, 8 and 9 include a variety of questions such that they are helpful to practice the concept in a better way.

Rational Numbers Worksheet For Class 7

1. Express ⅝ as a rational number with numerator 15 and -10.
2. Write each of the following integers as the rational numbers. Write the numerator and denominator in each case: 5, -3, 1 0 ,-23.
3. List six rational numbers between -1 and 0.
4. List five rational numbers -2 and -1.
5. The sum of two rational numbers is -5. F one of the numbers is -13/6, find the other.

Rational Numbers worksheet PDF for class 7 to solve more problems:-Download Rational Numbers Worksheet Grade 7 PDF Here

Rational Numbers Worksheet For Class 8

1. Simplify 7/-26 +16/39.
2. Subtract ¾ from ⅚.
3. The sum of two rational numbers is -⅗, if one of the numbers is -9/20. Find the other.
4. What number should be subtracted from 3/7, to get 5/4.
5. Find ten rational numbers between -⅚ and ⅝.

Rational Numbers worksheet PDF for class 8 to solve more problems:-Download Rational Numbers Worksheet Grade 8 PDF Here

Rational Numbers Worksheet For Class 9

1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
2. Write the decimal expansion of the rational number 7/8.
3. State whether the statement “The decimal expansion of a rational number is either terminating or nonterminating recurring” true or false.
4. Show that 3.142678 is a rational number.
5. Express 1.27272727…… in the form p/q, where p and q are integers and q ≠ 0.

Rational Numbers worksheet PDF for class 9 to solve more problems:-Download Rational Numbers Worksheet Grade 9 PDF Here