# SBP-Program

## 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.