Question

Learning Task 1. Classify each number as a rational number and an irra
tional number. Write R for rational number and IR for irrational number
in your notebook.
1. -6
2. ✓7
3. 6.48
4. II
5 3/9​

Answer 1

Classification of rational and Irrational number:

1. $-6$  R

2. $\sqrt{7}$  IR

3. $6.48$  R

4. $11$  R

5.  $\frac{3}{9}$  R

Answer 2

1) -6 R

2) ✓7 R

3) 6.48 R

4) 11 R

5) 3/9 R

Step-by-step explanation:

Rational number:

Rational Number is a fraction indicating the  Excluding Quotient of two integers. Excluding division by zeros.

Here.

1) $-6 = \frac{-6}{1}$ which is fraction with the denominator 1.

     ∴ so it is rational number (R).

3) 3.6.48 is the quotient of a Fraction which is NOT 0.

     ∴ It is Rational Number (R).

4) 11 = 11 is the positive integers which has the denominator 1

       ∴ so it is Rational Number (R)

5)  $\frac{3}{9}$ is the Fraction with denomination 9

      ∴ It is Rational number (R).

Irrational number:

An Irrational number is a number that cannot be expressed as an ordinary ratio of two integers.

Here $\sqrt{7}$ which is not expressed as an ordinary ration (i.e. Fraction ) of two integers. Therefore It is Irrational as number.