Problem Analysis
In order to calculate and display the results for the multiplication table for values ranging from 1 to 100 we need variables. The variables are: Horizontal Line Number (HLnNumber) that will be the outer loop and Vertical Line Number (VLnNumber) that will be the inner loop this two variable will also be used for a repetition loop to perform the calculation for the multiplication.
For the loop to be able to operate it has to be executed 10 steps. In order to find total calculation for the multiplication we can used the fallowing formula: HLnNumber * VLnNumber = this will be the result of the multiplication. Let say that HLnNumber = 5 and VLnNumber = 7, so this is how the formula would look like: 5*7=30. Also in the loop the variables, HLnNumber and VLnNumber, has to be incremented or decremented by 1.

This is how the output will look like:
1 2 3 4 5 6 7 8 9 10
2 4 6 8 10 12 14 16 18 20
3 6 9 12 15 18 21 24 27 30
4 8 12 16 20 24 28 32 36 40
5 10 15 20 25 30 35 40 45 50
6 12 18 24 30 36 42 48 54 60
7 14 21 28 35 42 49 56 63 70
8 16 24 32 40 48 56 64 72 80
9 18 27 36 45 54 63 72 81 90
10 20 30 40 50 60 70 80 90 100

Program Design and Documentation
Fundamental Task * Input variable HLnNumber, VLnNumber, Multiplication * If increment or decrement set by 1 * Display final calculation for multiplication
Hierarchy Chart

// Declare the variables
Delcare Multiplication As Float
Declare HLnNumber As Float
Declare VLnNumber As Float
Display Calculate your Multiplication
// Get the value for the multiplications
Write “Please use a real number between 1 to 100”
Input HLnNumber
Input VLnNumber
// Calculate the Multiplication of Vertical Row and Horizontal Row
Set Multiplication = HLnNumber * VLnNumber // Call the Moduele
Call HLnNumber Module
Call VLnNumber Module
Call DisplayCalculation
// Result
Write “Your Multiplication result is ”
End Program

HLnNumber Module
// Declare variable module
Declare HLnNumber As Integer
// Value of the positive integer
Write “Enter a positive integer”
Input HLnNumber
For (HLnNumber = 1; HLnNumber <= Multiplication; HLnNumber + +) Write HLnNumber
End For
End Module

VLnNumber Module
// Declare variable module
Declare VLnNumber As Integer
// Value of the positive integer
Write “Enter a positive integer”
Input VLnNumber
For (VLnNumber = 1; VLnNumber <= Multiplication; VLnNumber + +) Write VLnNumber
End For
End Module

DiplayCalculation Module
// Display Calculation variable
Declare Multiplication As Float
Set HLnNumber < 10
Set VLnNumber < 10
Set Multiplication = HLnNumber * VLnNumber
Write “Your Total Calculation for you multiplication is ”
End Module

Flow Chart
Enter
Enter

Declare HLnNumber As Integer
Declare VLnNumber As Integer
Declare Multiplication As Float
Declare HLnNumber As Integer
Declare VLnNumber As Integer
Declare Multiplication As Float

Set HLnNumber = 1
Set VLnNumber = 1

Set HLnNumber = 1
Set VLnNumber = 1

Is HLnNumber, VLnNumber <=10?
Is HLnNumber, VLnNumber <=10?

Write “Please use a real number between 1 to 100”
Input Multiplication
Write “Please use a real number between 1 to 100”
Input Multiplication

No

No

Yes

Yes

Is Multiplication != Int(Multiplication)?
Is Multiplication != Int(Multiplication)? Exit
Exit
Write “Your Total Calculation for you multiplication is:”
Write “Your Total Calculation for you multiplication is:”
Set HLnNumber != (> 10)
Set VLnNumber != (> 10)
Set HLnNumber != (> 10)
Set VLnNumber != (> 10)
Write “Skip a Line”
Write “Skip a Line”
Set Multiplication = HLnNumber * VLnNumber
Set Multiplication = HLnNumber * VLnNumber

Sample Test Data

HLnNumber | VLnNumber | Multiplication | Total | 9 | 5 | 9*5 | 45 | 5 | 6 | 5*6 | 30 | 2 | 4 | 2*4 | 8 | 3 | 2 | 3*2 | 6 | 1 | 10 | 1*10 | 10 | 4 | 3 | 4*3 | 12 | 6 | 8 | 6*8 | 48 | 7 | 1 | 7*1 | 7 | 8 | 9 | 8*9 | 72 | 10 | 7 | 10*7 | 70 |