10.

Question

Write the number 0.5 in the form a/b , using integers, to show that it is a rational number.

Answer 1

The number 0.5 can be expressed as a fraction of integers by writing it as:

\[ 0.5 = \frac{5}{10} \]

Both 5 and 10 are integers. This fraction can also be simplified to:

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

Thus, 0.5 can be written in the form \( \frac{a}{b} \) where \( a = 1 \) and \( b = 2 \). Since both \( a \) and \( b \) are integers and \( b \neq 0 \), this shows that 0.5 is a rational number.