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# Properties of Arithmetic

Understanding the properties of arithmetic will allow you to simplify complex expressions and do difficult calculations in a flash. Just don't divide by 0...

# Properties Of Arithmetic: Level 1 Challenges

$\large \frac{ \color{green}{2013} \times \color{blue}{2014} -\color{green}{2013} \times \color{red}{1392}} { \color{blue}{2014} - \color{red}{1392} }= \ \color{brown} ?$

$\left ( 1 + \frac{1}{ \color{red}{4}} \right ) \left ( 1 + \frac{1}{\color{red}{5}} \right ) \left ( 1 + \frac{1}{\color{red}{6}} \right ) \left ( 1 + \frac{1}{\color{red}{7}} \right )$

Evaluate the expression above.

$\Large \sqrt{\color{purple}{9999} \times \color{purple}{9999}+\color{green}{19999}} = \ \color{fuchsia} ?$

$\large \left (\color{red}4 + \color{blue}5 - \color{green}3 \times \color{purple}6 \div \color{brown}2 \right )^0 + \color{grey}1 = \ ?$

What is $$a - (a - b - a - c + a) - b + c?$$

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