SBP-Program

f

tw

in

Determine the numerical coefficient

How to determine the numerical coefficients in an expressions?

Determining the numerical coefficients in an expressions

Problem 1.

Determine the numerical coefficient of each term in the following expression

88a7 + 77b6

First, see Definition of numerical coefficients.

The first term

88a7 = 88 * a7

88 is the numerical coefficient. The a7 is a variable. The 7 is the exponent.

The second term

77b6 = 77 * b6

77 is the numerical coefficient. The b6 is a variable. The 6 is the exponent.

Problem 2.

Determine the numerical coefficient of each term in the following expression

2.5a9 + b8

The first term

2.5a9 = 2.5 * a9

The 2.5 is the numerical coefficient. The a9 is a variable. The 9 is the exponent.

The second term

b8 = 1 * b8

The 1 is the numerical coefficient. The b8 is a variable. The 8 is the exponent.

Problem 3.

Determine the numerical coefficient of each term in the following expression

-0.5a55 - b33

Determine the numerical coefficient of the first term

-0.5a55 =
-0.5 * a55

The negative fraction -0.5 is the numerical coefficient. The a55 is a variable. The 55 is the exponent.

Determine the numerical coefficient of the second term

-b33 = -1 * b33

The negative number -1 is the numerical coefficient. The b33 is a variable. The 33 is the exponent.

Problem 4.

Determine the numerical coefficient of each term in the following expression

(6a17)/(18a) - b4/84

Solution.

Determine the numerical coefficient of the first term

(6a17)/(18a) =
(6/18) * (a17/a) =
6/(3 * 6)) * (a17 - 1) =
(1/3) * a16

The 1/3 is the numerical coefficient. The a16 is a variable. The 16 is the exponent.

Determine the numerical coefficient of the second term. It is negative

-b4/84 =
(-1 * b4)/84 =
(-1/84) * b4

The negative factor -1/84 is the numerical coefficient. The b4 is a variable. The 4 is the exponent.