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Multiplying two integers

Repeated addition or subtraction. Let $a$ and $b$ be integers. $a•0 = 0 = 0•a$. Like signs: $a•b > 0$. Unlike Signs: $a•b < 0$.

Multiplying rational expressions

Let $a$, $b$, $c$, and $d$ represent real numbers, variables, or algebraic expressions such that $$b \ne 0$$ and $$d \ne 0$$. Then the product of $$\frac{a}{b}$$ and $$\frac{c}{d}$$ is $$\frac{a}{b}•\frac{c}{d} = \frac{{ac}}{{bd}}$$.

Multiplying fractions

Let $a$, $b$, $c$, and $d$ be integers with $$b \ne 0$$ and $$d \ne 0$$. The product of $$\frac{a}{b}$$ and $$\frac{c}{d}$$ is $$\frac{a}{b}•\frac{c}{d} = \frac{{a•c}}{{b•d}}$$.

Multiplicative inverse property

The product of a nonzero real number and its reciprocal is 1.

Multiplicative identity property

The product of 1 and a real number equals the number itself.

Multiplication property of inequalities

Multiply each side by a positive quantity. If $$a < b$$ and $c$ is positive, then $$ac < bc$$. Multiply each side by a negative quantity and reverse the inequality symbol. If $$a < b$$ and $c$ is negative, then $$ac > bc$$.

Monomial

A polynomial in $x$ with only 1 term.

Mixture problems

Real-life problems that involve combinations of two or more quantities that make up a new or different quantity.

Markup rate

When the markup is expressed as a percent of the cost.

Markup

The difference between the price a store sells an item for and the price they pay for the item.

Glossary: M