What does a monomial mean and what is a monomial

Monomial. monomial)：

1.An algebraic formula in the form of the product of any letter and number.

In division, dividing by a number is equal to multiplying the reciprocal of that number).

2.A letter or number is also called a monomial.

3.There are no letters in the denominator (mononomials are integers.)

And not fractions.

a, 5, 1x, 2xy, x 2, are all monomials, while are not monomials.

The number of a monomial refers to the exponential sum of all letter factors in a monomial.

This term was translated by the Qing Dynasty mathematician Li Shanlan according to the concept of the original word.

A monomial is the product of a letter and a number.

Number of monomials: The sum of the exponents of all letters in a monomial is called the number of times this monomial.

Coefficients of unidirectional: Numeric factors in unimials. For example, the coefficient of 2xy is 2; The coefficient of -5zy is -5

An algebraic formula consisting of the multiplication of numbers and letters or letters and letters is called a monomial (a single number or letter is also a monomial). The numerical factor in a monomial is called the coefficient of this monomial. The sum of the exponents of all letters is called the number of times this monomial.

The power of zero of any non-zero number is equal to 1.

Note: 1. Formulas with unknown denominator are not monomial. Because a monomial belongs to an integer, and a formula with an unknown denominator is a fraction. For example, 1 x is not a monomial.

2. A single number or letter is also a monomial. For example, 1 and x 2y are also monomials.

If a monomial contains only letter factors, the coefficient of the monomial is 1 if it is positive, and the coefficient of the monomial is 1 if it is negative

Monomial: 1An algebraic formula in the form of the product of any letter and number.

2.A letter, a number is also called a monomial.

Got it?

A monomial is an algebraic formula consisting of the product of numbers and letters. A single number or letter is called a monomial, and the product of fractions and letters is also a monomial. The numerical factor in a monomial is called the coefficient of this monomial.

In a monomial, the sum of the exponents of all the letters is called "the number of times this monomial". A mononomial is a few times, so it is called a "several monomials".

Nature of the monomial:

1. The product of any letter or number is in the form of a monomial. In division, dividing by a number is equal to multiplying the reciprocal of that number.

2. A single letter or number is also called a monomial. 0 is also a number and also belongs to a monomial. If a monomial contains only a numeric factor, then it has a degree of 0.

3. A monomial is the product of a letter and a number.

4. The formula that connects the letters or numbers representing the number with the operation symbol is called an algebraic formula. Algebraic formulas cannot contain the " " symbol, etc.

5. Formulas with letters in the denominator are not monomials. Because a monomial belongs to an integer, and a formula with an unknown denominator is a fraction. a, -5, x, 2xy, are all monomials, not monomials.

6. Some fractions are also mononomial. x/?Is it a monomial because? Not letters.

Writing rules: when the number is multiplied by the letter, the number is before the letter; The multiplication sign can be omitted as a dot or not written, and the division formula can be written as a fraction; The band fraction is multiplied by the letters, and the band fraction is turned into a false fraction. When the coefficient of a monomial is 1 or -1, "1" is usually omitted, as in [(-1)ab] is written as (-ab).

For example, 5 then 5 = 5 * a 0

So the coefficient is itself, and the number is 0

As for polynomials, first calculate the number of each monomial, and the number of polynomials is the number of the highest monomial, such as 3*x+x*y-z+x*x*y The number is 3. The product of any letter and number discussed above is in the form of a monomial. (There is a :

Dividing by a number is equal to multiplying the reciprocal of this number).