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Q: Performing of operations on series of numbers?

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additive inverse and associative property and if one is involved, then also identity

processing

algebraic expression consists of numbers and operations

All expressions combine numbers and operations!

This ensures consistency in calculations, regardless of who is performing the calculation, as long as the same order of operations is followed.

Related questions

alot

A machine multiplies numbers or values by performing a series of mathematical operations, typically involving addition and shifting. This process is executed by the machine's hardware components such as the arithmetic logic unit (ALU), which can perform multiplication operations through a combination of logical circuits and algorithms.

additive inverse and associative property and if one is involved, then also identity

? An expression which is obtained by performing a finite number of the following operations on symbols representing numbers: addition, subtraction, multiplication, division, raising to a power.

processing

algebraic expression consists of numbers and operations

All expressions combine numbers and operations!

A collection of things together with operations on those numbers and the properties that the operations satisfy or in other words, a collection of numbers together with operations, properties of the operations, and a system of representing these numbers.

This ensures consistency in calculations, regardless of who is performing the calculation, as long as the same order of operations is followed.

Yes

the order of operations

The arithmetic circuits on the list that you posted with the question are incapable of performing any operations