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Because if you did not combine them then you would have only one number: the number 1. You would not have 2 which is 1+1 and similarly no larger positive integers. Nor would you have negative integers which are obtained by subtraction. There would be no other rational numbers which are obtained by division. All in all, arithmetic would be pretty much useless.

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To indicate what calculations you are supposed to do, for example, to solve a particular problem.

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Q: Why are numbers combined with operations of addition subtraction multiplication and division?
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What are arithmetic expressions?

It is a collection of numerical values along which are combined using arithmetic operations such as powers, addition, subtraction, multiplication and division.


Do 2 prime numbers always get a composite number?

The answer depends on how the numbers are combined: addition, subtraction or multiplication.


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The question does not specify how the the digits are to be combined: addition, multiplication, subtraction, division, power, other.


If polynomial is not any number then how will you define a polynomial?

An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.


How are Integers combined?

All numbers - integers as well as non-integers - are combined using different mathematical operations. Some operators are binary: that is, they combine two numbers to produce a third; some are ternary (combine 3 to produce a fourth) and so on.The set of integers is closed under some operations: common examples are addition, subtraction, multiplication, exponentiation. But not all operators are: division, for example.


Addition?

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What does the quotient of a number mean?

The result of a division problem is a quotient. For instance, "The quotient of 10 divided by 2 is 5. I am not sure what the quotient of one number would be; you need two to tango or to have a quotient. Extra info/similar mathematic words: sum is the result of addition, difference is the result of subtraction, and product is the result of multiplication. All require at least two numbers.This is because addition, multiplication etc are BINARY operations. Two inputs are combined to produce one output.


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Multiplication is repeated adding. Addition is a number with another number combined for a total.


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It is a lot of numbers and letters, combined together with various mathematical operations and functions. Operations such as addition, subtraction, multiplication division, exponentiation etc; functions such as trigonometric ones, logarithms, factorials, etc. An expression cannot have an equals sign (or a less than or more than sign) because then it becomes an equation (inequality). So 3x2 + 2y/sin(x) - 23-x is an expression.


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They can always be combined for multiplication. For division, the only requirement is that the denominator is not 0. For addition and subtraction the terms, after simplification, must have identical radicals.So, for example, sqrt(18) + sqrt(50) can be simplified to 3*sqrt(2) + 5*sqrt(2) and that simplifies to 8*sqrt(2).


What is expression in math terms?

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Are addition and subtraction variables?

No, they are binary operators. Two numbers (or variables) are combined, according rules of operation to give a single answer.