Question Text
Question 2 :
Find whether it is a terminating or a non-terminating decimal.$1.2 \div 0.16$.
Question 3 :
Express the following as a rational number i.e. in the form $\displaystyle \frac{a}{b};$ where a, $\displaystyle b\in I$ and $\displaystyle b\neq 0.$ <br> $\displaystyle0.15\overline{8}$.<br/>
Question 5 :
Convert the following fraction into simple decimal recurring form.$\displaystyle \frac{1}{6}$= ?
Question 10 :
As the decimal of $\dfrac {1}{3}$ repeats$,$ $\dfrac {1}{3}$ is a $.........$ decimal.
Question 12 :
Choose the correct answer from the given four options:<br>The value of the expression $\dfrac{(-1)^{101} \times 8^5}{(4)^7}$ is equal to<br><br>
Question 13 :
The value of $[ 5 (8^{\tfrac 13} + 27^{\tfrac 13} )^3 ]^{\tfrac 14}$ is
Question 14 :
Simplify and express the result in its simplest form: $5\sqrt{32}\times 2\sqrt [ 3 ]{ 81 } $
Question 18 :
Based on this information answer the questions given below.<br/>(i) $\sqrt[m]{a^{x}\sqrt[m]{a^{x}\sqrt[m]{a^{x}\sqrt[m]{a^{x}}}}}$ and so on, for k times,i.e., number of radical signs $=k$<br/>$\sqrt[m^{k}]{a^{x(m^{k}-1)}}  \therefore $ Resulting index $=m x m x ....... k $times<br/>$=a^{\frac{x(m^{k}-1)}{m^{k}}}=m^{k}$<br/>(ii) $\sqrt{p\sqrt{p\sqrt{p}}}$ to infinity $=p$ always where p is any number. Find the value of $\sqrt{100\sqrt{100\sqrt{100}}}$ to infinity.<br/>
Question 19 :
Which of the following values are equal?<br>(P) $1^{4}$ (Q) $4^{\circ}$ (R) $0^{4}$ (S) $4^{1}$.