multiplied by

USAGE SUMMARY

"multiplied by" is a correct and usable phrase in written English.
It is usually used when describing a mathematical equation where two or more numbers are multiplied together. For example, you could say "5 multiplied by 2 is 10".

✓ Grammatically correct

News & Media

Science

Academia

Wiki

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

"Imagine that multiplied by millions.

The New Yorker

Multiplied by one.

Massachusetts Institute of Technology

Power is force multiplied by velocity.

The New York Times - Sports

It's multiplied by this pulse train.

Massachusetts Institute of Technology

Even multiplied by dozens of municipalities, the difference is huge.

The New York Times

The coordinate is multiplied by.

EURASIP Journal on Advances in Signal Processing

So, what's 30 million multiplied by $5 per device?

TechCrunch

The channel taps are multiplied by i.i.d.i.d

EURASIP Journal on Wireless Communications and Networking

Coefficients have been multiplied by (10^5).

Business Research

Only multiplied by 700 billion.

Huffington Post

All multiplied by four years of course.

Huffington Post

Expert writing Tips

Best practice

When using "multiplied by" in mathematical contexts, ensure clarity by specifying the numbers or variables involved. For example, instead of just saying "the result is multiplied by," specify "the result is multiplied by 5".

Common error

Avoid using "multiplied by" in contexts where a simple increase or intensification is meant. Instead of saying "his stress was multiplied by the deadline," consider using alternatives like "increased by" or "intensified by".

Linguistic Context

The phrase "multiplied by" primarily functions as a verb phrase functioning as a mathematical operator. As Ludwig AI confirms, this construction is used to describe the process of scaling a value by a specific factor.

Expression frequency: Very common

Frequent in

News & Media

32%

Science

31%

Academia

14%

Less common in

Wiki

9%

Formal & Business

8%

Encyclopedias

1%

Ludwig's WRAP-UP

In summary, "multiplied by" is a common and grammatically sound phrase used to express a mathematical operation where a quantity is scaled by a factor. As Ludwig AI points out, it is best used in contexts where precise mathematical scaling is intended. The phrase sees frequent use in news, scientific, and academic content. Related phrases like ""increased by a factor of"" or "product of" can serve as effective alternatives depending on the context. When writing, be sure to use "multiplied by" only in scenarios that necessitate mathematical precision and avoid using it as a simple substitute for general increase. Remember, clarity and precision are key when employing this phrase.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

times

A more concise way to express multiplication, often used in mathematical contexts.

increased by a factor of

Focuses on the proportional increase relative to the original value.

scaled by

Highlights the adjustment of size or magnitude using a specific factor.

product of

Refers to the result of multiplication, often used when presenting the outcome.

amplified by

Emphasizes a significant increase or enhancement due to multiplication.

boosted by

Indicates an increase in strength or effectiveness through multiplication.

proportional to

Suggests a direct relationship where one quantity changes with another based on a multiplication factor.

taken to the power of

Implies exponentiation, a specific form of multiplication by itself.

duplicated

Specifically means multiplied by 2, creating an exact copy.

tripled

Specifically means multiplied by 3, resulting in a threefold increase.

FAQs

How do I use "multiplied by" in a sentence?

Use "multiplied by" to indicate a mathematical operation where one number is scaled by another. For example, "The initial investment was "increased by a factor of" two after the first year."

What can I say instead of "multiplied by"?

Alternatives include "times", ""increased by a factor of"", "scaled by", or "product of" depending on the specific context and desired emphasis.

Is it correct to say "multiply by" instead of "multiplied by"?

Yes, both phrases are correct, but they have different grammatical roles. "Multiply by" is an imperative or infinitive form used for instructions or general statements (e.g., "Multiply by 10 to convert to centimeters"), while "multiplied by" is a past participle form often used in passive constructions or to describe a state (e.g., "The value was multiplied by 2").

When is it inappropriate to use "multiplied by"?

Avoid using "multiplied by" in non-mathematical contexts where a general increase or intensification is meant. Simpler alternatives like "increased by", "enhanced by", or "amplified by" are more appropriate in such cases.