Parentheses, Algebraic precedence order of evaluation, Largest and smallest numbers – HP 39g+ User Manual

Page 30

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Getting started

Parentheses

You need to use parentheses to enclose arguments for
functions, such as SIN(45). You can omit the final parenthesis
at the end of an edit line. The calculator inserts it
automatically.

Parentheses are also important in specifying the order of
operation. Without parentheses, the HP 39G/40G calculates
according to the order of algebraic precedence (the next
topic). Following are some examples using parentheses.

Algebraic
precedence
order of
evaluation

Functions within an expression are evaluated in the following
order of precedence. Functions with the same precedence are
evaluated in order from left to right.

1. Expressions within parentheses. Nested parentheses are

evaluated from inner to outer.

2. Prefix functions, such as SIN and LOG.

3. Postfix functions, such as !

4. Power function, ^, NTHROOT.

5. Negation, multiplication, and division.

6. Addition and subtraction.

7. AND and NOT.

8. OR and XOR.

9. Left argument of | (where).

10. Equals, =.

Largest and
smallest
numbers

The smallest number the HP 39G/40G can represent is
1 × 10

–499

(1E–499). A smaller result is displayed as zero. The

largest number is 9.99999999999 × 10

–49

. A larger result is

still displayed as this number.

Entering...

Calculates...

>6,1@ 45>@>6+,)7@

π

sin (45 +

π

)

>6,1@45> @>@>6+,)7@

π

sin (45) +

π

>6+,)7@

85

>;@9

>6+,)7@

> @85>;@9> @

85

9

Ч

85

9

Ч

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This manual is related to the following products:

40G