Question

What is the place value of $6$ in $64$?

• A. $6$
• B. $60$
• C. $64$
• D. $10$

Answer 1

The correct option is B

$60$

Explanation for the correct option:

Option B. $60$

Each digit has a fixed position called its place and a value called the place value of the digit that is dependent on its place.

For each position in the given number, the face value of a digit equals the value of the digit itself.

The place value of a digit is given by:

$$\begin{gathered} \mathrm{Place}\mathrm{value}=\left(\mathrm{face}\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{digit}\right)\times \left(\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{place}\right) \\ \mathrm{Place}\mathrm{value}\mathrm{of}6\mathrm{in}64=6\times 10 \\ \mathrm{Place}\mathrm{value}\mathrm{of}6\mathrm{in}64=60 \end{gathered}$$.

In the number $64$, $6$ is in ten's place.

Hence, option (B) is correct.