Tag: square and square root

Questions Related to square and square root

Multiple choice maths square and square root scientific notation use of exponents power of 10

Which one of the following statements is correct?

  1. There can be a real number which is both rational and irrational.

  2. The sum of two irrational numbers is always irrational.

  3. For any real numbers x and y, $x < y \Rightarrow x^{2} < y^{2}$
  4. Every integer is a rational number.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Every integer can be expressed as a rational number by dividing itself by 1.
Now, it becomes a rational number with the numerator the number itself and denominator 1.

Multiple choice maths square and square root scientific notation use of exponents power of 10

The $p/q$ form of $0.5\bar {6}$ is 

  1. $56/100$
  2. $56/99$
  3. $59/90$
  4. $51/90$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\begin{array}{l} x=0.566\ _ \ _ \ _ \ _ \ _ \ _ \ _ \ _ \ _  \ 10x=5.666\ _ \ _ \ _ \ _ \ _ \ _ \ _ \ _ (i) \ 100x=56.6666\ _ \ _ \ _ \ _ \ _ \ _ (ii) \ (ii)-(i) \ 90x=51 \ x=\frac { { 51 } }{ { 90 } }  \end{array}$