Question

How many positive integers between $1000$ and $9999$ inclusive are even?

Answer 1

Finding the number of positive integers between $1000$ and $9999$ inclusive that are even:

• Even numbers means numbers that are divisible by $2$.
• Total positive integers between $1000$ and $9999$ inclusive are $9999-999=9000$
• The number of positive integers between $1000$ and $9999$ inclusive can be calculated by dividing the total positive integers by $2$.

$\begin{array}{rcl}\mathrm{number}\mathrm{of}\mathrm{positive}\mathrm{integers}& =& \frac{9000}{2}\\ & =& 4500\end{array}$

Hence, $4500$ positive integers between $1000$ and $9999$ inclusive are even.