We can represent sums, differences, products, and quotients of rational numbers (and combinations of these) with numerical and algebraic expressions.
Sums:
21+-9
-8.5+x
Differences:
21−-9
-8.5−x
Products:
(21)(-9)
-8.5x
Quotients:
21÷-9
x-8.5
We can write the product of two numbers in different ways.
- By putting a little dot between the factors, like this: -8.5⋅x.
- By putting the factors next to each other without any symbol between them at all, like this: -8.5x.
We can write the quotient of two numbers in different ways as well.
- By writing the division symbol between the numbers, like this: -8.5÷x.
- By writing a fraction bar between the numbers, like this: x-8.5.
When we have an algebraic expression like x-8.5 and are given a value for the variable, we can find the value of the expression. For example, if x is 2, then the value of the expression is -4.25, because -8.5÷2=-4.25.