Definition
Multiplication
Multiplication is the operation that combines factors to produce a product.
Continue from this idea into connected AXIO math.
Defining relationship
Factors work together; their result is the product.
Multiplication is the operation that combines factors to produce a product. Whole-number contexts can show equal groups or arrays; more broadly, multiplication also describes scaling, area, and rates.
- factor 4
- factor 3
- product 12
What it means
Multiplication connects one quantity with a “how many” or scale factor. Equal groups are a strong first model, but the operation also works with fractions, decimals, measurements, and changes in scale.
Remember it
Factors work together; their result is the product.
Example
Five garden rows hold 8 seedlings each. The total is 5 × 8 = 40 seedlings.
Watch for
Repeated addition is a useful whole-number model, not the whole meaning of multiplication. Multiplying by a fraction can make a positive quantity smaller.
Common mix-up
Multiplication of numbers is commutative, so swapping factors keeps the product; division does not work that way.
Exact meaning
Multiplication is the operation that combines factors to produce a product. Whole-number contexts can show equal groups or arrays; more broadly, multiplication also describes scaling, area, and rates.