Rational Numbers

Grade 6 Math Worksheets

rational number is one that is a part of a whole denoted as a fraction, decimal or a percentage. It is a number which cannot be expressed as a fraction of two integers (or we can say that it cannot be expressed as a ratio).

 

For instance, let’s consider the square root of 3. It is irrational and cannot be expressed by two integers.

It is an irrational number because it cannot be denoted as a fraction with just two integers.

rational numbers

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Integers and Rational numbers

They are the numbers you usually count and they will continue upto infinity.

Whole numbers are all natural numbers including 0.

Example: 0, 1, 2, 3, 4…

Integers are all whole numbers and their negative sides too.

Example….. -6,-5,-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6…

Every integer is a rational number, as each integer n can be written in the form \frac{n}{1}.

For example5 =\frac{5}{1}  and so 5 is a rational number. However, numbers like \frac{1}{2} ,\frac{2}{3},\frac{3}{4},\frac{73738765}{1234782}, and – \frac{6}{9}  are also rational; since they are fractions whose numerator and denominator are integers.

rational irrational numbers

 Check Point

 

  1. Arrange the following integers in the ascending order:
  1.  -17, 1, 0, -15, 16,8, 33, 6
  2. -44, -66, 0, 23, 41, 55, 15, 11, 10, -1, -2
  1. Identify whether the following is rational or irrational number.
  1. 0.5
  2. \sqrt{200}
  3. \sqrt{121}
  4. 9.0
  5. 5
Answer key
  1.  -17, -15, 0, 1, 6, 8, 16, 33
  2. -66, -44, -2, -1, 0, 10, 11, 15, 23, 41, 55.
  1.  Rational
  2. Irrational
  3. Rational
  4. Rational
  5. Rational

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