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Use the associative property to rewrite 5(7y)

Sagot :

Answer is 35y

According to the question,

given that, 5 (7y)

then multiply the monomials = 5 * 7y

                                                 = 35y

Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables.

How to Find a Monomial?

A monomial can be easily identified with the help of the following properties:

A monomial expression must have a single non-zero term.

The exponents of the variables must be non-negative integers.

There should not be any variable in the denominator.

Let us look at the following examples to identify monomials.

Expression Is it a monomial?              If not, why?

3x2y                 Yes                                   -

3y/2                         Yes                                 -

3x2 + y                  No                        It has two terms: 3x2, and y

3x¾                         No                        The exponent of the variable is not an integer

7x                     No                       The variable is an exponent

8x/y                         No                        The denominator has a variable

Degree of a Monomial

The degree of a monomial is the sum of the exponents of all the variables. It is always a non-negative integer. For example, the degree of the monomial abc2 is 4. The exponent of the variable 'a' is 1, the exponent of variable 'b' is 1, the exponent of variable 'c' is 2. Adding all these exponents, we get, 1 + 1 + 2 = 4.

Some tips to remember easily  Monomials :

Observe the following points which help in understanding the results of the arithmetic operations on a monomial.

A single term expression in which the exponent is negative or has a variable in it is not a monomial.

The product of two monomials is always a monomial.

The sum or difference of two monomials might not be a monomial.

learn more about Monomial here : brainly.com/question/9183135

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