About Multiplication

Multiplication is one of the four basic arithmetic operations, representing the shorthand for repeated addition of a value a certain number of times.

When multiplying a sequence of multiple numbers together, we compute the product by multiplying the first two numbers, then multiplying the result by the next number in the sequence, and so on.

\prod_{i=1}^n x_i = x_1 \times x_2 \times \dots \times x_n

Multiplication Properties

  • Commutative Property: The order of numbers does not change the product ($a \times b = b \times a$).
  • Associative Property: Grouping terms differently does not change the product ($(a \times b) \times c = a \times (b \times c)$).
  • Identity Property: Multiplying any number by $1$ leaves the number unchanged ($a \times 1 = a$).
  • Zero Property: Multiplying any number by $0$ results in $0$ ($a \times 0 = 0$).