MATH - SCIENCE INTEGRATION

bullet1 CALCULATING FORCES OF MOTION

bullet2 Solving One Step Division Problems

In science, when you are using the formulas for speed and velocity ( speed = distance / time ) or for acceleration ( acceleration = (final velocity – initial velocity) / time ) you will solve these equations the same way you would in math class.



bullet3 Division

x/a = b
To solve division equations you have to multiply both sides of the equation by the number you are dividing the variable by.


  • Positive Integer Example
    x/17 = 14
     
    Solve:  Multiply both sides of the equation by 17.
                  17(x/17) = 17(14)
     
    Solution:  Since 17/17 is 1 you have 1x, which is writen as just x,
                                on the right handside of the =.
                        And 17(14) = 238 you have 238
                                 on the left hand side of the =.
                         x = 238
     
    Check:  Substitute 238 in for x in the original equation x/17 = 14
                   238/17 = 14 and 14 = 14 so 238
                            is the answer to the equation.



    » See also: Integer Calculations
     
  • Negative Decimal Example
    x/-23.57 = 81.93
     
    Solve:  Multiply both sides of the equation by -23.57.
                   -23.57(x/-23.57) = -23.57(81.93)
     
    Solution:  Since -23.57/-23.57 is 1 you have 1x,
                                which is writen as just x,
                                on the right handside of the =.
                       And -23.57(81.93)  you have -1931.0901
                                on the left hand side of the =.
                       x = -1931.0901
     
    Check:  Substitute -1931.0901 in for x in the original equation
                        x/-23.57 = 81.93
                  -1931.0901/-23.57 = 81.93 and 81.93 = 81.93
                          so -1931.0901 is the answer to the equation.



    » See also: Decimal Calculations
    » See also: Negative Numbers Calculations
     
  • Fraction Example
    x 4/5 = 9/16
     
    Solve:  Multiply both sides of the equation by 4/5.
                4/5 (x 4/5)  = (4/5)(9/16)
     
    Solution:  Since anything divided by itself  is 1 ,
                              including 4/5 4/5
                              you have 1x,  which is writen as just x,
                              on the right handside of the =.
                       And  (4/5)(9/16) you have 9/20
                               on the left hand side of the =.
                       x = 9/20
     
    Check:  Substitute 9/20 in for x in the original equation
                          x 4/5 = 9/16
                   9/20 4/5 = 9/16 and  9/16 = 9/16
                          so 9/20 is the answer to the equation.



    » See also: Fraction Calculations
     
  • Practice Exercises
    Exercise 1:  x/22 = -8
     
    Exercise 2:   x/-58.75 = 91.2
     
    Exercise 3:  x 4 7/9 = -9 3/5
     
    Hit next to check your answers.



    » See also: Division using Calculator
     
    • Solutions
      Exercise 1:  Multiply both sides by 22            
                               x = -176
       
      Exercise 2:  Multiply both sides by -58.75
                               x = -5358
       
      Exercise 3:  Multiply both sides by 4  7/9
                               x = -46 7/12



       

bullet3 Using the Calculator





On the Ohio Graduation Test "OGT" you will be allowed to use the calculator provided for the test.  In this section you can review the basic operations with the calculator as well as how to input negative numbers and fractions.


  • Negative Numbers Calculations




    To input a negative number you use the  key in the last row to the left of the  key. You input the number first then the  key.

    Warning: Do not use the subtraction key  for negative numbers.
    Example:  -75.93
     
    Keystrokes:  
     
    Display:  -75.93




     
  • Multiplication using Calculator
     







    To multiply use the  key   which is in the sixth row and the fourth column.



     
    • Integer Calculations
      -72 x (- 89) =
       
      Keystrokes:  
       
      Display:  6408



       
    • Decimal Calculations
      4.6 x 8.62 =
       
      Keystrokes:  
       
      Display:  39.652



       
    • Fraction Calculations
      9/5 x 15/18 =
       
      Keystrokes:  
       
      Display:  1_1  2
       
      Mixed Number:  1 1/2
      To convert to an improper fraction, do not clear the display.
      Keystokes:  
       
      Display:  3  2
       
      Improper Fraction:  3/2



       
  • Division using Calculator
     







    To divide use the  key   which is in the sixth row and the fifth column.




     
    • Integer Calculations
      16   44 =
       
      Keystrokes:  
       
      Display:  0.363636363
       
      Decimal Form:  0.36
      If you need your answer in fractional form you can use the   insted of the   key.
       
      Keystrokes:  
       
      Display:  - 4  11
       
      Fractional Form:  - 4/11




       
    • Decimal Calculations
      34.01 16 =
       
      Keystrokes:  
       
      Display:  2.125625
       
      Make sure you read the directions of each problem carefully so you will know what decimal place to round your answer to.




       
    • Fraction Calculations
      -15 5/9 =
       
      Keystrokes:  
       
      Diplay:  27