|
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positive, plus, add |
|
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angle |
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negative, minus, subtract |
|
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perpendicular |
| × |
times, multiply |
|
 |
degree(s) |
| ÷ |
divide |
|
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triangle |
| = |
is equal to |
|
 |
is approximately equal to |
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is not equal to |
|
 |
is similar to |
| < |
is less than |
|
 |
is parallel to |
| > |
is greater than |
|
 |
infinity |
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is less than or equal to |
|
 |
pi, 3.14159 |
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is greater than or equal to |
|
 |
is congruent to |
| ( ) |
Parentheses (grouping symbol) |
|
 |
therefore |
| [ ] |
Brackets (grouping symbol) |
|
 |
square root |
| { } |
Braces (grouping symbol) |
|
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right angle |
| | | |
Absolute Value Bars |
|
! |
factorial |
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is an element of |
|
 |
the sum of |
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is not an element of |
|
e |
numeric constant 2.71828 |
 or  |
is a subset of |
|
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line AB |
 or  |
is not a subset |
|
 |
segment AB |
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the set of |
|
AB |
the length of |
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the intersection of |
|
 |
ray AB | Units Conversion (Area)
| Area |
| 1 square foot = 144 square inches |
| 1 square yard = 9 square feet |
| 1 acre = 208.71 feet square |
| 1 acre = 43,560 square feet |
| 1 square centimeter = 100 square millimeters |
| 1 square meter = 10,000 square centimeters | Rules for
Addition
| Rules for Addition |
Examples |
| If a and b are both positive, then a + b = |a| + |b| |
3 + 7 = 10 |
| If a and b are both negative, then a + b = -(|a| + |b|) |
-6 + (-2) = -(6 + 2) = -8 |
| If a is positive and b is negative and a has the greater absolute value, then a + b = |a| - |b| |
8 + (-5) = 8 - 5 = 3 |
| If a is positive and b is negative and b has the greater absolute value, then a + b = -(|b| - |a|) |
4 + (-9) = -(9 - 4) = -5 |
| If a and b are opposites, then a + b = 0 |
2 + (-2) = 0 |
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Units Conversion (Length)
| Length |
| 1 meter = 10 decimeters |
| 1 meter = 100 centimeters |
| 1 meter = 1,000 millimeters |
| 1 kilometer = 1,000 meters |
| 1 kilometer = 0.62 miles |
| 1 mile = 1,760 yards |
| 1 mile = 5,280 feet |
| 1 mile = 1.61 kilometers |
| 1 foot = 0.3048 meters |
| 1 foot = 12 inches |
| 1 inch = 2.540 centimeters |
| 1 yard = 3 feet |
| 1 yard = 36 inches |
Units Conversion (Mass)
| Mass |
| 1 kilogram = 1,000 grams |
| 1 kilogram = 2.2046 pounds |
| 1 gram = 1,000 milligrams |
| 1 metric tonne = 1,000 kilograms |
| 1 metric tonne = 1.102 short tons |
| 1 short tone = 2,000 pounds |
| 1 pound = 16 ounces |
| 1 pound = 453.593 grams |
| 1 ounce = 28.350 grams |
| 1 ton = 2,000 pounds | Units Conversion (Volume)
| Volume |
| 1 cubic centimeter = 1,000 cubic millimeters |
| 1 cubic meter = 1,000,000 cubic centimeters |
| 1 cubic foot = 1728 cubic inches |
| 1 cubic yard = 27 cubic feet |
| 1 cup = 8 fluid ounces |
| 1 quart = 4 cups |
| 1 gallon = 4 quarts |
| 1 gallon = 231 cubic inches |
| 1 liter = 0.264 gallons |
Negative Numbers Addition
|
Rule |
Example |
Positive Number + Positive = Positive Number
|
7 + 4 = 11
2 + 15 = 17
|
Negative Number + Negative Number = Negative Number
|
-4 + (-9) = -(4 + 9) = -13
-12 + (-43) = -(12 + 43) = -55 |
Positive + Negative OR Negative + Positive
case 1: The positive number is larger: Answer =
Positive
case 2: The negative number is larger: Answer = Negative
|
case 1:
14 + (-5) = 14 - 5 = 9
case 2:
-19 + 7 = -(19 - 7) = -12 |
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