Question

write the number 0.2 in a/b form, using integers

to show that it is a irrational number

Answer 1

The number \( 0.2 \) can be expressed in fractional form as follows:

\[
0.2 = \frac{2}{10}
\]

This fraction can be simplified:

\[
\frac{2}{10} = \frac{1}{5}
\]

Since both the numerator (1) and the denominator (5) are integers, we can see that \( 0.2 \) can be expressed as a fraction of integers, which shows that it is a rational number, not an irrational number.

An irrational number cannot be expressed in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers, and \( b \neq 0 \). Examples of irrational numbers include \( \sqrt{2} \), \( \pi \), and \( e \).

In summary, \( 0.2 \) is a rational number because it can be expressed as \( \frac{1}{5} \).

Answer 2

no that's wrong
your options are
2/11
2/10
2/1
2/100