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HP 35s User Manual

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Page 11

 
hp calculators 
 
HP 35s  Using RPN Mode 
 
hp calculators - 7 - HP 35s  Using RPN Mode - Version 1.0 
s. 
 
 
The same caone in algebraic mode with no difficulty. Nevertheless, many users find that algebraic 
ode is less well suited to such step-by-step calculations, especially because %2 must be used repeatedly to 
about 20 degrees would be about right. So type the height again and divide by the cosine of 20 degree
Type #0#:F7. That gives 29.80. A 30 foot long ladder would be almost ideal if a...

Page 12


Page 13

 
 
hp calculators 
 
 
 
 
HP 35s  Using Algebraic Mode 
 
 
Calculation modes 
 
Functions of a single number in algebraic 
 
A simple example in algebraic 
 
Arithmetic calculations with two numbers 
 
Another example - the area of a piece of carpet 
 
Algebraic mode in detail 
 
Making corrections 
 
Functions of two numbers 
 
Algebraic operator precedence 
 
Example – reusing a previous result 
 
 
 
 
 
 
 
   

Page 14

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 2 - HP 35s  Using Algebraic Mode - Version 1.0 
Calculation modes 
 
The HP 35s allows calculations to be made in “RPN” mode, in “algebraic” mode, or in “Equation” mode. 
 
RPN mode is the traditional way most HP calculators work. To add 1 and 2, keys are pressed in the order 
!#$. This mode is very suitable for calculations where the user is working towards a solution, without 
having a particular formula to work on. 
 
Algebraic mode...

Page 15

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 3 - HP 35s  Using Algebraic Mode - Version 1.0 
 Figure 2 
 
Answer: The second result, 0.25, is on the lower line of the calculator screen. In algebraic mode, the formula or 
expression used to calculate this result is shown on the upper line. The previous result, 1.2 squared, has 
vanished, though it can still be used, as will be shown. 
 
Note: When functions are printed, some come before the number, for example !2 or sin(30). Others...

Page 16

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 4 - HP 35s  Using Algebraic Mode - Version 1.0 
 Figure 5 
 
 must be pressed to finish the addition. The result is shown in Figure 6. 
 
 Figure 6 
 
To find the square root of this result, is press 0&1.  
 
 Figure 7 
 
Alternatively, if you know at the beginning the values to be used and what you wish to do with them, you could key in this 
calculation in one step by pressing:  
 
0&!)#/$&)* 
 
 Figure 8 
 
Answer: The length of the...

Page 17

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 5 - HP 35s  Using Algebraic Mode - Version 1.0 
So these keys would be typed:  
 
4+++This enters the open and close the parentheses to put around (6+8) 
2+$+3+This gives the 6+8 
/+++This places the cursor outside the parentheses to continue 
4+*++This multiplies by 5 
+++This tells the calculator that the formula is finished so it can now get 
the answer 
 
and the formula and answer would be shown 
 
 Figure 9 
 
Answer: The total...

Page 18

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 6 - HP 35s  Using Algebraic Mode - Version 1.0 
In algebraic mode, addition, subtraction, multiplication and division are not carried out immediately. If a wrong key was 
pressed, $ and 8 should be followed by a 9 and 4 or : should be followed by a !. 
 
Functions of two numbers 
 
Unlike functions of a single number, the arithmetical operations $, 8, 4 and : use two numbers, but there are 
also some mathematical functions that use two...

Page 19

 
hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 7 - HP 35s  Using Algebraic Mode - Version 1.0 
 Figure 14 
 
Answer: The permutation of 69 items taken 2 at a time is 4,692. Note that it was not necessary to move beyond the 
closing parenthesis before pressing .  
 
Percentage functions are used in algebraic mode and are explained in the business training guide on Percentages. 
 
Working with complex numbers, with pairs of numbers representing rectangular or polar coordinates and...

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hp calculators 
 
HP 35s  Using Algebraic Mode 
 
hp calculators - 8 - HP 35s  Using Algebraic Mode - Version 1.0 
 Figure 16 
 
Answer: The calculation in brackets is carried out first, giving the result 2. The rest of the calculation proceeds from 
right to left, as the factorial function has highest precedence, followed by the power function, followed by 
multiplication, with addition coming last. The answer 564,859,072,963 can be confirmed if 1 is subtracted 
first, then the result is divided by 2....
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