HP 17BIIPLUS Bedienungsanleitung

hp calculators

HP 17bII+ Chain Calculations

Algebraic Mode

Reverse Polish Notation Mode

hp calculators

HP 17bII+ Chain Calculations

Chain calculations, also called series calculations, are those calculations where you are performing successive arithmetic operations

in a “chain” or “series.” Your financial calculator can efficiently perform these operations in either the Algebraic or Reverse Polish

Notation mode.

ALGEBRAIC:

The Algebraic system uses parentheses the way you would write out an arithmetic operation. For example, say you wanted to

multiply the sum of 10 and 20 by 5. You would write this: 5(10 + 20). Below are the keystrokes for this operation and also what your

display (set to two places to the right of the decimal) will show as you perform each step:

Keystrokes Display

5 5

x 5.00x

( 5.00x(

10 5.00x(10

+ 5.00x(10.00+

20 5.00x(10.00+20

) 5.00x30.00

= 150.00

At the point when you have closed the parentheses the calculator performs the arithmetic operation inside the parentheses. Instead

of closing the parentheses, you have the option of just hitting the equal sign and that will both perform the operation inside the

parentheses (10 + 20) and outside (5x).

REVERSE POLISH NOTATION:

In the RPN mode we will work the problem we did above using the Algebraic system, the 5(10+20). It is generally easier (less

keystrokes) when using the RPN mode for solving a problem of this type to work inside the parentheses first. That is, we will add the

‘10’ and ‘20’ before we multiply by the ‘5.’ The keystrokes and the display (set two places to the right of the decimal) on each step

are:

Keystrokes Display

10 10

ENTER 10.00

20 20

+ 30.00

5 5

x 150.00

The ability to perform chain calculations is an immense advantage in the use of the HP 17bll+. Let’s try the slightly more involved

problem shown below, to ensure you feel comfortable in working these calculations:

18 + 12(240 - 3)

ALGEBRAIC:

Keystrokes Display

18 18

+ 18.00+

( 18.00+(

hp calculators - 2 - HP 17bII+ Chain Calculations

hp calculators

HP 17bII+ Chain Calculations

The open parentheses is inserted here because ‘18’ is going to be added to the result of the rest of the arithmetic operation in the

numerator. That is, before we can add ‘18’ we have to get the result of ‘12’ times the result of ‘240’ minus ‘3.’

12 18.00+(12

x 18.00+(12.00x

( 18.00+(12.00x(

The additional open parentheses is necessary here because you have to calculate what is inside the parentheses of the problem -

the ‘240’ minus ‘3’ - before you multiply by the ‘12.’

240 18.00+(12.00x(240

- 18.00+(12.00x(240.00-

3 ... .00(12.00x(240.00-3

) 18.00+(12.00x237.00

The closing of the second open parentheses (the one to the right) calculates what is inside of that parentheses, ‘237,’ the result of

subtracting ‘3’ from ‘240.’

) 18.00+2,844.00

The closing of the first open parentheses (the one to the left) calculates the result of ‘12’ times ‘237.’

÷ 2,862.00÷

Hitting an arithmetic operator, in this case the division key, completed the pending addition in the numerator and indicated the result

in the display before showing the division sign.

75 2,862.00÷75

= 38.16

Note that if you started the above problem by working inside of the parentheses you could solve the problem with less keystrokes:

Keystrokes Display

240 240

- 240.00-

3 240.00-3

x 237.00x

As shown in the previous calculation, when an arithmetic operation is pending and not shielded by parentheses, the calculator will

complete that pending operation if you key in a subsequent arithmetic operator. So, in the above we had “240 - 3” pending when we

keyed in the subsequent “x,” which caused the calculator to perform the subtraction as the “x” was brought in.

12 237.00x12

+ 2,844.00+

18 2,844.00+18

÷ 2,862.00÷

75 2,862.00÷75

= 38.16

hp calculators - 3 - HP 17bII+ Chain Calculations

hp calculators

HP 17bII+ Chain Calculations

REVERSE POLISH NOTATION:

As was demonstrated in the Algebraic mode, it is usually easier (less keystrokes) in working a problem like this to begin with the

arithmetic operations inside the parentheses first. We do that in the keystrokes shown below to solve this problem:

Keystrokes Display

240 240

ENTER 240.00

3 3

- 237.00

12 12

x 2,844.00

18 18

+ 2,862.00

75 75

÷ 38.16

hp calculators - 4 - HP 17bII+ Chain Calculations

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