15.1: Appendix A- Math Symbols and Their Operations
- Page ID
- 50191
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Below is a list of several commonly used symbols in math and statistics. Review the symbols, their meanings, and how they are used. The result of adding is called a sum. The result of subtraction is called a difference. The result of multiplication is called a product. The result of division is called a quotient.
|
Symbol |
Interpretation |
Example |
|---|---|---|
|
= |
is equal to |
10 = 10 |
|
≠ |
is not equal to |
10 ≠ 5 |
|
> |
is greater than |
10 > x |
|
< |
is less than |
x < 10 |
|
≥ |
is greater than or equal to |
10 ≥ x |
|
≤ |
is less than or equal to |
x ≤ 10 |
|
+ |
add/sum |
10 + 5 = 15 |
|
− |
subtract |
10 − 5 = 5 |
|
× or ● or * |
multiply |
10 × 5 = 50 10 ● 5 = 50 10*5 = 50 |
|
÷ or / or –– |
divide |
10 ÷ 5 = 2 10 / 5 = 2 \(\dfrac{10}{5}=2\) |
|
a² or a^2 |
square the number (i.e. multiply it by itself) |
if a = 5 5² = 25 5^2 = 25 |
|
\(\sqrt{a}\) |
find the square root of the number |
if a = 25 \(\sqrt{25}=5\) |
|
[ ] or ( ) |
indicates expressions within the brackets or parentheses should be done first |
[(2+2) × (10-5)] = 20 |
|
∑x |
Add all instances of the variable X |
When X = 3, 4, and 5 ∑x = 12 |
When two sets of parentheses appear next to each other without any symbols between them, it indicates that the numbers within the parentheses are to be multiplied.
Here are some examples:
(8)(2) = 16 (3)(12) = 36 (2)(7) = 14 (20)(5) = 100 (4)(5) = 20
Evaluate the expressions.
|
15 × 5 = |
\(\sqrt{100}\) = |
10 - 5 = |
|
4² = |
100 × 8 = |
2² = |
|
(5 - 2) = |
(-9)² = |
\(\sqrt{9}\) |
|
(12 ÷ 2) = |
(4)(3) = |
10² = |
|
3 × 15 = |
\(\sqrt{64}\) |
75 ÷ 25 = |
|
12² = |
25 × 10 = |
(5)(11) = |
|
6² = |
1 + 5 = |
\(\dfrac{8}{1}\) = |
|
\(\sqrt{144}\) = |
81 ÷ 9 = |
36 / 3 = |
|
14 ÷ 1 = |
40 / 2 = |
17 × 0 = |
Fill in missing pieces using one of these symbols: = > <
The first problem has been completed for you.
|
15 > 11 |
8 ____ -8 |
-5 ____ 0 |
|
|-44| ____ 44 |
4 ____ -15 |
\(\dfrac{1}{2}\) ____ 2 |
|
9 ____ 88 |
|7| ____ -2 |
-10 ____ 9 |
|
-14 ____ -37 |
-3 ____ 12 |
53 ____ 53 |
|
43 ____ 4.3 |
-1 ____ -0.1 |
-16.45 ____ 6.9 |
|
-0.98 ____ -1.00 |
0.25 ____ -2.50 |
-1,152 ____ 758 |