Definition

Adverb: - In a multiplicative manner: Relating to or involving multiplication; increasing or operating by successive multiplications rather than additions.

Usage

The adverb "multiplicatively" describes a process where change occurs through repeated multiplication or by a multiplicative factor. It is often used in mathematical, statistical, and scientific contexts to describe exponential or compounded growth, where quantities are combined by multiplying.

Examples

• The investment grew multiplicatively over the decade, compounding annually.
• In the model, the effects of the two factors combine multiplicatively, not additively.
• The errors propagated multiplicatively through the calculation, leading to a large final uncertainty.

Advanced Usage

• Multiplicatively inverse: Pertaining to the reciprocal relationship where two numbers multiply to give 1.
  • The numbers 5 and 1/5 are multiplicatively inverse.
• To combine multiplicatively: For quantities to be combined using multiplication.
  • The probabilities of independent events combine multiplicatively.

Variants and Related Words

• Multiplicative (adjective): Tending or having the power to multiply; of, involving, or resulting from multiplication.
  • The multiplicative effect of the policy was significant.
• Multiplication (noun): The process of combining quantities by multiplying.
• Multiply (verb): To add a number to itself a specified number of times; to increase greatly in number or amount.

Synonyms

• Exponentially: (In a context of rapid, compounded growth) In a way that becomes quicker and quicker.
• Compoundedly: In a way that involves the addition of interest on both the principal and accumulated interest.

Notes on Meaning

The core meaning of "multiplicatively" is defined by its contrast with "additively." While an additive process combines quantities by simple addition (e.g., 2 + 3 = 5), a multiplicative process combines them by multiplication (e.g., 2 × 3 = 6), which typically leads to faster or more complex growth patterns.

Adverb

1. in a multiplicative manner
   • the errors increased multiplicatively