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Numerical coefficients examples

Examples of numerical coefficient in math, in algebra.

Examples of numerical coefficient

Example.

Find the numerical coefficient

89a

The numerical coefficient is 89.

Example.

Find the numerical coefficient

a5

The numerical coefficient is 1. Why?

a5 = 1 * a5 = 1a5

Example.

Determine the numerical coefficient

158a19

The numerical coefficient is 158.

Example.

Determine the numerical coefficient

4a5b6c3

Solution:

4a5b6c3 =
(4 * 5 * 6) * abc3 =
120 * abc3=
120abc3

The numerical coefficient is 120.

Example.

Find the numerical coefficient

14x * (y/40) * 20

Solution:

14x * (y/40) * 20 =
20 * (14x * y)/40 =
20 * (14x * y)/(2 * 20) =
(14x * y)/2 =
(14/2) * (x * y) =
7 * (x * y) = 7xy

The numerical coefficient is 7.

See also Can a numerical coefficient be negative?