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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...

True or False?

\[ (0.3 + 0.6) + 0.4 = 0.3 + (0.6 + 0.4) \]

Evaluate

\[ \frac{2}{3} \times 5 \times \frac{3}{2}. \]

Evaluate

\[ \left( \frac{2}{5} \right) \times \left( \frac{5}{7} \right) \times \left( \frac{7}{13} \right) \times \left( \frac{26}{4} \right). \]

Simplify the expression

\[ 5x + 4y + 3 + (-5x) + (-4y) - 2. \]

True or False?

\[ (16 \div 8) \times 2 = 16 \div ( 8 \times 2 ) \]

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