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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...

Zero Product Property


If \( ab = 0 \), which of the following statements MUST be true?

If \( b \neq c \) and \( ab = ac \), which of the following statements must be true?

Solve \(x^2-5x=0\).

What are the solutions to \((x-3)(x-5)=0\)?

If \( a \neq 5 \) and

\[ a x = 5 x ,\]

then what is the value of \(x\)?


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