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.