Arithmetical sum – Definition & Meaning

Arithmetical sum is a mathematical concept that is used to find the total value of a set of numbers. It is a fundamental concept in arithmetic, and it is used in many different areas of mathematics and science. In this article, we will define and explore the meaning of arithmetical sum, its origin, associations, synonyms, antonyms, and provide examples of it being used in sentences.

Definitions

Arithmetical sum is defined as the sum of a set of numbers. It is calculated by adding all the numbers in the set together. For example, if we have a set of numbers {1, 2, 3, 4, 5}, the arithmetical sum would be 1+2+3+4+5=15.

Origin

The concept of arithmetical sum has been used since ancient times. The Greeks and Romans used it extensively in their mathematical and scientific work. The word “arithmetical” comes from the Greek word “arithmos,” meaning number, and “sum” comes from the Latin word “summa,” meaning total.

Meaning in different dictionaries

In different dictionaries, arithmetical sum is defined as the sum of a set of numbers. It is also sometimes referred to as the arithmetic mean or the average.

Associations

Arithmetical sum is associated with many different areas of mathematics and science. It is used in statistics to calculate the mean of a set of data. It is also used in geometry to find the area of a polygon. In physics, it is used to calculate the total energy of a system.

Synonyms

There are many synonyms for arithmetical sum, including total, sum, and aggregate.

Antonyms

There are no antonyms for arithmetical sum, as it is a mathematical concept that represents the total value of a set of numbers.

The same root words

The same root words as arithmetical sum include arithmetic, which is the branch of mathematics that deals with numbers and their operations.

Example Sentences

1. The arithmetical sum of the numbers 1, 2, 3, 4, and 5 is 15.
2. To find the arithmetical sum of a set of data, you add up all the values and divide by the number of values.
3. In geometry, the arithmetical sum of the angles in a triangle is always 180 degrees.
4. The arithmetical sum of the energy in a closed system is always conserved.
5. The arithmetical sum of the test scores was used to determine the class average.