Q: What is a product of real numbers and variables?

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This is called the "commutative" property.

Term- a number, a variable, or a product of numbers and variables.

It is called a term.

A "product" is a binary operator. That means, you need two numbers (or variables) before you can define their product.

Yes.

The product of nine negative real numbers is a negative real number.

any number or variable or product of numbers and variables

Because it is a product of real numbers. And the set of real numbers is closed under multiplication.

No, the product of two negative numbers is always a positive.

Polynomial

135ab is a monomial, where 135 is its coefficient.A monomial is a number or a variable or a product of numbers and variables.

No, they cannot with real numbers. With complex numbers it is possible.

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Whenever you multiply two negative real numbers.

Yes.

It is a monomial.

5+5 = 10 (Sum is ten)5*5 = 25 (Product is 25)*this product is maximum for all any 2 real numbers that == 10

Yes it is.

The grouping in which the numbers are taken does not affect the sum or product.

60000000000

There are no real numbers with the sum of 4 and a product of -477. The factors of -477 are (1,-477), (3, -159) and (9, -53). The negatives can be switched to the other numbers in those pairs of factors.

They do not apply to all expressions - only to those expressions whose elements are either real numerical constants or variables which can only take real values.The set of real numbers is closed under the operations of arithmetic. As a result each term in an expression, which will be made up of real constants or real variables, will also be a real constant or variable. And since each term in the expression is real, the closure implies that their combination is also real.

find two positive numbers whose product is a maximum. 1.) the sum is s.

There are many and the precise details will depend on who is collecting the variables for what purpose.Among the variables may be:a list of product linescost of each product"shelf life" of each productmargin on each lineselling price for each linediscount rate for each linenumber of units in stock at the startnumbers sold during salesnumbers left after stocknumber of stores/outletsnumber of people coming into storesexpenditure by customerscombinations of products.

Putting a question mark at the end of a bunch of mathematical terms does not make it a meaningful question.