HP 35s User Manual

 
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HP 33S  Working with Fractions 
 
hp calculators - 5 - HP 33S  Working with Fractions - Version 1.0 
 
 179/3000 is displayed. 
 
 Now store 99 in -. This means that all fractions must be displayed with only one or two digits in the 
denominator. 
 
 99.- 
 
 Figure 9 
 
 The fraction is displayed with only two digits in the denominator, and it is rounded to the nearest possible 
fraction to 179/3000. 
 
 Now display the number with 99 as the denominator. To do this, set flag 8....

 
hp calculators 
 
HP 33S  Working with Fractions 
 
hp calculators - 6 - HP 33S  Working with Fractions - Version 1.0 
 With flags 8 and 9 set, fractions will always be displayed as multiples of the denominator in -. This can 
be very useful in some cases. For example, if a design is being drawn with a ruler marked in 1/16 of an 
inch, it is helpful to put 16 in -, then set flags 8 and 9, and see the results of all calculations as multiples 
of one-sixteenth. 
 
 Finally, to return to the normal...

 
 
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HP 35s  Working with complex numbers –part 1 
 
 
 
 
Complex numbers 
 
Practice working problems involving complex numbers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Working with complex numbers – part 1 
 
hp calculators - 2 - HP 35s  Working with complex numbers – part 1 - Version 1.0 
Complex numbers 
 
Complex numbers occur in problems facing several disciplines, from quantum mechanics to working with magnetic 
fields. They are also useful in modeling the flow of a fluid around a pipe. They even show up in the solution of a 
differential equation that models the up and down movement of a car’s shock absorber. They are also used to...

 
hp calculators 
 
HP 35s  Working with complex numbers – part 1 
 
hp calculators - 3 - HP 35s  Working with complex numbers – part 1 - Version 1.0 
 In algebraic mode: 
 
 )6*+46#$(&6% 
 
 Figure 3 
 
 Figure 4 
 
Answer: 25 + 31i. Figure 3 shows the display in RPN mode. Figure 4 shows the display in algebraic mode. 
 
Example 2: In Radians mode, compute sin(2+3i) + cos(1-4i) + e(2+2i) 
 
Solution: In RPN mode: 
 
 9)  (Sets Radians mode) 
 )6*,6&$#()6)-$( 
 
 In algebraic mode: 
 
 9) (Sets Radians...

 
hp calculators 
 
HP 35s  Working with complex numbers – part 1 
 
hp calculators - 4 - HP 35s  Working with complex numbers – part 1 - Version 1.0 
Answer: The answer is 0.125 + 0.625i. Figure 6 shows the answer in RPN mode 
 
Example 4: For the complex number 5+6i, find the magnitude of the vector represented. 
 
Solution: In RPN or algebraic mode:  
 *6)%!8& 
 
 Figure 7 
 
 Figure 8 
 
Answer: The answer of 7.8102 is shown in the display. Figure 7 shows the answer in RPN mode. Note that if the...

 
 
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HP 35s  Working with complex numbers – Part 2 
 
 
 
 
Complex numbers 
 
Practice working problems involving complex numbers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Working with complex numbers – part 2 
 
hp calculators - 2 - HP 35s  Working with complex numbers – part 2 - Version 1.0 
Complex numbers 
 
Complex numbers occur in problems facing several disciplines, from quantum mechanics to working with magnetic 
fields. They are also useful in modeling the flow of a fluid around a pipe. They even show up in the solution of a 
differential equation that models the up and down movement of a car’s shock absorber. They are also used to...

 
hp calculators 
 
HP 35s  Working with complex numbers – part 2 
 
hp calculators - 3 - HP 35s  Working with complex numbers – part 2 - Version 1.0 
 Figure 3 
 
Answer: 25 + 31i. Figure 3 shows the display in algebraic mode. 
 
Example 2: Extract the X and Y coordinates of the complex number 5!30. Use degrees mode. 
 
Solution: Changing the display mode to !8$ will convert the complex number to an X and Y form. 
However, to extract the X and Y values, it is necessary to leave the display in polar form...

 
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HP 35s  Working with complex numbers – part 2 
 
hp calculators - 4 - HP 35s  Working with complex numbers – part 2 - Version 1.0 
 -%&%*=,& 
 
 Figure 7 
 
Answer: The X coordinate is approximately 4.33 and the Y coordinate is 2.5.  Figures 4 and 5 show the display in 
algebraic mode. Figures 6 and 7 show the display in RPN mode. 
 
Example 3: Use the HP 35s to verify the triangle inequality for two complex numbers, which states that if z and w are 
any two complex numbers, then |z +...