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The word Arithmetic isn't used outside of mathematics; it generally refers to the concepts of + addition, - subtraction, ∗ Multiplication, and ÷ division

Addition

Notation Say Result
\( a + b \) \(a\) plus \(b\) the sum of \(a\) and \(b\)

Subtraction

Notation Say Result
\( a - b \) \(a\) minus \(b\) the difference of \(a\) and \(b\)

Multiplication

Notation Say Alternate Say Result
\( a \cdot b, ab, (a)(b), a(b) \) \(a\) times \(b\) \(a\) multiplied by \(b\) the product of \(a\) and \(b\)

Division

Notation Say Alternate Say Result
\( a \div b, a/b, \frac{a}{b} \) \(a\) over \(b\) \(a\) divided by \(b\) the quotient of \(a\) and \(b\)

Equality and Inequality

When two quantities have the same value, we say they are equal and connect them with an equal sign.

Equality Symbol ("Equals Sign"): \( a = b \) is read “a is equal to b”

On the number line, the numbers get larger as they go from left to right. The number line can be used to explain the symbols “<” and “>”.

Inequality: