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General Math with the TI-84 Plus Silver Edition
Arithmetic Operations and Properties
Arithmetic Operations with the TI-84 Plus Silver Edition
Addition: valueB
Returns valueA plus valueB
√
Subtraction: valueA - valueB
Subtracts valueB from valueA
π
Multiplication: valueA
x
valueB
Returns valueA times valueB
Ø
Division: valueA ÷ valueB
Returns valueA divided by valueB
•
Properties of Addition & Multiplication
Commutative property of addition
a+b = b+a
Commutative property of multiplication
ab = ba
Associative property of addition
a+(b+c) = (a+b)+c
Associative property of multiplication
a(bc) = (ab)c
Distributive property of multiplication over addition
a(b+c) = ab+ac
Distributive property of multiplication over subtraction
a(b–c) = ab–ac
Numbers
Prime Numbers
A whole number with only two factors: itself and 1
EXAMPLES: 2, 3, 5, 7, 11, 13, 17
Common Factors
A number that divides exactly into two or more given numbers
EXAMPLES: 1, 2, 3, 4, 6, and 12 are factors of 12
Greatest Common Factor
The greatest number that is a factor of two or more numbers
EXAMPLE: 4 is the greatest common factor of 12 and 16.
To calculate the greatest common factor on your TI-84 Plus Silver Edition,
press
ç ~
9:gcd(.
This will compute the greatest common factor of
valueA and valueB, which can be real numbers or lists.
Least Common Multiple
The smallest number that is a multiple of two or more numbers
EXAMPLE: 12 is the least common multiple of 2, 3, 4 and 6.
To calculate the least common multiple on your TI-84 Plus Silver Edition,
press
ç ~
8:lcm(.
This will compute the least common multiple of
valueA and valueB, which can be real numbers or lists.
Order of Operations
General Rules
1
Do all operations within parentheses
2
Do all powers and roots
3
Do multiplication and division in order from left to right
4
Do addition and subtraction in order from left to right
Equation Operating System (EOS
™
) for the TI-84 Plus Silver Edition
EOS defines the order in which functions and expressions are entered and
evaluated. EOS evaluates the functions in an expression in this order:
1
Functions that precede the argument, such as
√
(, sin(,
or
log(
2
Functions that are entered after the argument, such as
2
,
-1
, !, °, or
r
,
and conversions
3
Powers and roots, such as
2
5
or
5
√
32
4
Permutations (
nPr
) and combinations (
nCr
)
5
Multiplication, implied multiplication, and division
6
Addition and subtraction
7
Relational functions, such as > or
≤
8
Logic operator
and
9
Logic operators
or
and
xor
Within a priority level, EOS evaluates functions from left to right.
Calculations within parentheses are evaluated first.
Math Symbols
To access many math symbols,
go to the TEST Menu on your
TI-84 Plus Silver Edition, by pressing
y :
.
Powers and Roots
Square: value
2
The
°
key returns a value multiplied by itself.
The value can be a real or complex number,
expression, or list.
Square root:
√
(value)
y C
returns the square root of a real
or complex number, expression, or list.
Common Squares and Roots
Cube: value
3
Press
ç
.
3:
3
Returns the cube of a real or
complex number, expression, list, or square matrix.
Cube root:
3
√
(value)
Press
ç
.
4:
3
√
( Returns the cube root of a
real or complex number, expression, or list.
x
th
root:
x
√
value
Press
ç
.
5:
x
√
( Returns xth root of a value.
Power: value^power
The
õ
key returns a value raised to a power. Value
can be a real or complex number or expression.
Power of 10: 10^(value) Press
y G
. Returns 10 raised to the value power.
Value can be a real or complex number or expression.
Fractions, Decimals and Percents
1
=
1.0
=
100%
1/
2
=
0.5
=
50%
1/
3
=
0.333
=
33.3%
1/
4
=
0.25
=
25%
1/
5
=
0.2
=
20%
1/
6
=
0.166
=
16.7%
1/
8
=
0.125
=
12.5%
1/
9
=
0.1 1 1
=
11.1%
1/
10
=
0.1
=
10%
1/
12
=
0.083
=
8.3%
2/
3
=
0.666
=
66.7%
3/
4
=
0.75
=
75%
value
➧
Dec
Press
ç
.
2:
➧
Dec
Displays a real or complex
number, expression, list or matrix in decimal format.
value
➧
Frac
Press
ç
.
1:
➧
Frac
Displays a real or complex
number, expression, list or matrix as a fraction
simplified to its simplest terms.
n n
2
√
n
9
81
3.0
10
100
3.162
15
225
3.873
20
400
4.472
25
625
5.0
100
10,000
10.0
1/
2
1/
4
0.707
1/
4
1/
16
1/
2
n n
2
√
n
1
1
1.0
2
4
1.414
3
9
1.732
4
16
2.0
5
25
2.236
6
36
2.449
7
49
2.646
8
64
2.828
