What is a numerical coefficient in math? What is the meaning of numerical coefficient in math?

Definition of a numerical coefficient

A numerical coefficient is a numerical factor in a mathematical expression.

Here are some examples of the numerical coefficients.

Example of a numerical coefficient

12a

In the mathematical expression the (12) is a numerical coefficient and (a) is a variable.

Example of a numerical coefficient

43ab

In the mathematical expression the (43) is a numerical coefficient.

Example of a numerical coefficient

45a^{3}

In the mathematical expression the (45) is a numerical coefficient.

Example of a numerical coefficient

(4a^{3})/5 =

(4/5) * a^{3}

(4/5) * a

In the mathematical expression the (4/5) is a numerical coefficient.

Example of a numerical coefficient

What is the numerical coefficient of the mathematical expression

12a5^{2}bc^{59}

Solution:

12a5^{2}bc^{59} =

(12 * 5^{2})abc^{59} =

(12 * 25)abc^{59} =

300abc^{59}

(12 * 5

(12 * 25)abc

300abc

The (300) is the numerical coefficient of the mathematical expression.

See also Can a numerical coefficient be negative?