Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124.....$
$(ii)$ $1.010010001 \ldots$
Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124.....$
$(ii)$ $1.010010001 \ldots$
$(i)$ $10.124124 \ldots$ is a decimal expansion which non-terminating recurring.
Hence, it is a rational number.
$(ii)$ $1.010010001 \ldots$ is a decimal expansion which is non-terminating non-recurring.
Hence, it is an irrational number.
Similar Questions
Find the value of $a$ :
$\frac{3-\sqrt{5}}{3+2 \sqrt{5}}=a \sqrt{5}-\frac{19}{11}$
Find the value of $a$ :
$\frac{3-\sqrt{5}}{3+2 \sqrt{5}}=a \sqrt{5}-\frac{19}{11}$
Simplify:
$\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{-\frac{2}{3}}}$
Simplify:
$\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{-\frac{2}{3}}}$
State whether the following statements are true or false
Every whole number is a natural number.
State whether the following statements are true or false
Every whole number is a natural number.
Fill in the blanks so as to make each of the following statements true (Final answer only)
Square root of $121$ is ..........
Fill in the blanks so as to make each of the following statements true (Final answer only)
Square root of $121$ is ..........
Find the value
$\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}$
Find the value
$\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}$