In algebra, we use letters to represent numbers, and instead of using the multiplication symbol (×), we write the variables next to each other. For example, 'ab' means 'a × b'. This simplifies expressions and makes them clearer.
For instance, '3x' means '3 times x', and 'abc' represents 'a × b × c'. This notation helps in writing complex expressions in a simpler way.
By using this notation, we avoid confusion, especially in more complex algebraic expressions. It also aligns with the conventions of algebra where the multiplication symbol is often omitted.
Example 1: Simplify 3 × x. Answer: 3x
Example 2: Simplify a × b. Answer: ab
Example 3: Simplify a × b × c. Answer: abc
Example 4: Simplify 2a × 3b. Answer: 6ab
Example 5: Simplify 4x × 5y. Answer: 20xy