Question

The value of ${\left(10\frac{1}{2}\right)}^2$ is equal to

• A. $110\frac{1}{2}$
• B. $110\frac{1}{4}$
• C. $104\frac{1}{4}$
• D. $110\frac{1}{4}$

Answer 1

The correct option is B

$110\frac{1}{4}$

${\left(10\frac{1}{2}\right)}^2$ can be written as

$(10+\frac{1}{2})(10+\frac{1}{2})$

$=10\times 10+10\times \frac{1}{2}+\frac{1}{2}\times 10+\frac{1}{2}\times \frac{1}{2}$

$=100+5+5+\frac{1}{4}$

$=110\frac{1}{4}$