Squared Meaning: Definition, Examples, and Translations
๐ฅ
squared
[skwษrd ]
Definitions
mathematics term
Squared refers to the result of multiplying a number by itself. It is commonly used in geometry, algebra, and various mathematical calculations. For example, the square of 4 is 16 because 4 multiplied by 4 equals 16. The concept can also apply to other mathematical expressions and can be visualized as the area of a square whose sides are of equal length.
Synonyms
Examples of usage
- The area of the square is calculated as side squared.
- To find the hypotenuse, you need to square both legs of the triangle.
- He squared the number to solve the equation.
mathematics action
To square a number means to multiply that number by itself. This operation is fundamental in algebra and is often one of the first concepts taught in mathematics. Squaring a number can be applied to both integers and decimals. For instance, squaring the number 3 gives you 9 because 3 times 3 equals 9.
Synonyms
double up, exponentiate, multiply.
Examples of usage
- If you square 5, you get 25.
- Make sure to square the base when calculating the area of a square.
- He squared the decimals to reach the final result.
Translations
To see the translation, please select a language from the options available.
Interesting Facts
Mathematics
- Squaring a number is a basic operation in math and is represented by a small two (ยฒ) after the number.
- In geometry, a square is a shape with four equal sides, and squaring a number is like finding the area of such a square.
- The concept of squaring goes beyond numbers; it has applications in algebra, calculus, and even statistics.
Historical Origins
- The term 'square' comes from the Latin word 'quadratum', which means 'a square'.
- Ancient mathematicians used geometric methods, including squares, to solve equations long before modern number systems were established.
- In early Chinese mathematics, 'The Nine Chapters on the Mathematical Art' included the squares of numbers in its methods.
Pop Culture
- In video games, players often level up or power up their characters by 'squaring' their skills or abilities.
- The concept of 'squared' is popular in sports, describing players who can double their score or effectiveness.
- The phrase 'squared away' in modern culture means something is organized or completed, symbolically similar to the tidy nature of a square.
Science
- In physics, the concept of area heavily involves squaring measurements, especially when dealing with dimensions of objects.
- In statistics, variance is calculated using squared deviations from the mean, showing the importance of squaring in analyzing data.
- Technological fields often use squared terms in physics formulas, such as energy being proportional to the square of velocity.
Literature
- Poets often use the metaphor of squaring to illustrate balance, harmony, and completeness in their works.
- Famous riddles and puzzles sometimes leverage the concept of squaring as a clever play on words or numbers.
- Authors of mathematical essays and textbooks often illustrate the principle of squaring with engaging narratives or myths.
Origin of 'squared'
The term 'squared' has its origins in the Latin word 'quadratum', which means 'a square'. The concept dates back to ancient civilizations that utilized geometric shapes in their mathematical practices. It gained prominence during the Middle Ages as scholars began to formalize mathematical principles. The term entered the English language through Middle English, influenced by the French word 'carrรฉ', meaning square. The mathematical concept of squaring a number has been used in various cultures for thousands of years, serving as a fundamental aspect of geometry and algebra. Over time, 'squared' expanded in usage to represent not only the geometric shape but also the mathematical operation of raising to the second power.
Word Frequency Rank
Ranked #11,011, this word falls into high-advanced vocabulary. It appears less frequently but is valuable for expressing precise meanings in specific contexts.
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