## Algebraic expressions - what are these expressions and when do we use them?

Algebraic expressions consist of one or more algebraic symbols joined by action signs. How are algebraic expressions structured? When can we use them?

## 1. What are algebraic expressions?

An algebraic expression is an expression consisting of letters and numbers joined by action signs and parentheses.

Examples of algebraic expressions include:

• n;
• 8 (2 + 5x);
• 3;
• x + 4y;
• 2y
• 4 + √9.

Formulas of abbreviated multiplication

What are abbreviated multiplication formulas? What are examples of abbreviated multiplication formulas? How to calculate the square ...

However, algebraic expressions are not notations consisting of algebraic symbols, but meaningless, such as ᵃ - (, etc., expressions in which symbols of a function or relation are involved (e.g. a = b). We usually assume that these expressions have a finite length, so they cannot be continued fractions.

Some authors consider only algebraic numbers in algebraic expressions.

What are monomials in algebraic expressions? These are numbers and letters connected by the multiplication sign. We also distinguish similar monomials that differ only in the numerical coefficient.

Whole numbers - what are they? Examples, definition

Whole numbers are positive integers and their opposite (-1, -2, -3, ...

## 2. Rational and irrational expressions

If there is no power with a non-integer exponent in an algebraic expression (also a root of a degree other than 1 / k, k ∈ ℤ {0}) then it is a rational expression. Otherwise, the expression is irrational.

Multiplication table - characteristics, ways of learning

The multiplication table is a basic skill learned by children in primary school. Assumes ...