arithmetic principles

USAGE SUMMARY

The phrase "arithmetic principles" is correct and usable in written English.
You can use it when discussing foundational concepts or rules related to arithmetic in mathematics. Example: "Understanding arithmetic principles is essential for solving more complex mathematical problems."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Only in understanding of arithmetic principles does SLI performance approximate that of age-matched-controls, indicating that principled understanding can develop even where number sequence production and other aspects of number processing are severely compromised.

Cognition

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

It should be emphasized that already when it comes to arithmetic, stronger principles are needed in addition to inversion.

SEP

In the 1960's, William Tait extended Ackermann's methods to obtain an ordinal analysis of extensions of arithmetic with principles of transfinite induction.

SEP

Opposing him are those, like Mr Meyer, whose views are shaped as much by electoral arithmetic as principle: they argue that the party's only chance of becoming electable is by reaching out to the black majority.Mindful of this argument, Mr de Klerk last year dispatched his party on a quest for a "new political movement".

The Economist

In "Interval numbers", the principles, arithmetic, and distance formulas of interval numbers besides explanation about interval comparison are provided.

Journal of Industrial Engineering International

Central to Poincaré's analysis of arithmetic is the principle of recurrence, or mathematical induction, which he considered to be a synthetic a priori principle that is "imposed upon us with such a force that we could not conceive of the contrary proposition" (Poincaré 1902: 74; 1913b: 64).

SEP

The leading idea of the arithmetizers was that the concepts and first principles of arithmetic and analysis are to be found in the concepts of the understanding (as a Kantian might put it), independently of one's geometric intuitions concerning any spatial or temporal continua.

SEP

Section 2 briefly introduces the principles of arithmetic coding.

EURASIP Journal on Advances in Signal Processing

It turns out, however, that the principles of arithmetic can be derived without Frege's definition.

SEP

The proposed architectures are based on Distributed Arithmetic (DA) ROM accumulator principles.

Image and Vision Computing

If the principles of arithmetic are formulated in a second-order language, then Dedekind's argument goes through and we have a categorical theory.

SEP

Expert writing Tips

Best practice

When discussing foundational mathematical concepts, use "arithmetic principles" to emphasize the fundamental rules governing numerical operations.

Common error

Avoid using "arithmetic principles" when discussing more advanced mathematical topics like calculus or abstract algebra; instead, use more encompassing terms such as "mathematical principles" or "mathematical concepts".

Linguistic Context

The phrase "arithmetic principles" functions primarily as a noun phrase. It refers to the foundational rules, concepts, and properties governing numerical operations and calculations. As confirmed by Ludwig, the phrase is grammatically correct and commonly used.

Expression frequency: Common

Frequent in

Science

47%

News & Media

17%

Encyclopedias

10%

Less common in

Formal & Business

10%

Academia

6%

Wiki

0%

Ludwig's WRAP-UP

In summary, "arithmetic principles" refers to the fundamental rules and concepts that govern numerical calculations. Ludwig AI confirms it's grammatically sound and frequently employed across various disciplines, particularly within science, news, and encyclopedic contexts. While alternatives like "mathematical rules" and "basic arithmetic concepts" exist, the choice depends on the specific context. Remember to use "arithmetic principles" when discussing foundational rules in mathematics but avoid it when referencing more advanced topics.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

arithmetical principles

A more formal or technical synonym.

mathematical rules

Focuses on the regulatory aspect of arithmetic.

basic arithmetic concepts

Highlights the fundamental nature of the ideas.

simple principles

Emphasizes ease and clarity.

calculation principles

Focuses on the process of calculating.

computation principles

Focuses on the act of computing.

mathematical principles

Broader term encompassing more than just arithmetic.

derivation principles

Emphasizes the origin or source of the arithmetic.

math principles

Informal synonym for mathematical principles.

counting principles

Relates specifically to the principles of counting.

FAQs

How do I use "arithmetic principles" in a sentence?

You can use "arithmetic principles" to refer to the fundamental rules and concepts that govern numerical calculations. For example: "A strong understanding of "arithmetic principles" is essential for success in algebra".

What's the difference between "arithmetic principles" and "mathematical principles"?

"Arithmetic principles" refer specifically to the rules and concepts of arithmetic, while "mathematical principles" is a broader term that includes all areas of mathematics, including arithmetic, algebra, geometry, and calculus.

What are some concepts related to "arithmetic principles"?

Related concepts include "basic arithmetic concepts" such as addition, subtraction, multiplication, division, and the order of operations. Understanding these concepts is essential for mastering arithmetic.

Are "arithmetic principles" and "mathematical rules" the same thing?

While similar, "arithmetic principles" often implies a deeper understanding of the underlying reasons why arithmetic works, whereas "mathematical rules" may simply refer to the procedures themselves, without necessarily understanding the underlying theory.