Properties of Equality, Identity, and Operations
... expressions for different values. You substitute the given value of the variable into the equation and solve. y = 2(5) + 4 y = 10 + 4 y = 14 ...
... expressions for different values. You substitute the given value of the variable into the equation and solve. y = 2(5) + 4 y = 10 + 4 y = 14 ...
Measures of Central Tendency
... The mode is the number (or numbers) that occur(s) the most! HINT: Mode sounds like Most! It helps to put the numbers in order from least to greatest, just like we do finding the median! ...
... The mode is the number (or numbers) that occur(s) the most! HINT: Mode sounds like Most! It helps to put the numbers in order from least to greatest, just like we do finding the median! ...
Pythagorean Triples and Fermat`s Last Theorem
... As I mentioned above, this proof was known to the school of Pythagorus, and it was deeply disturbing to them, since their (very natural!) concept of number was whole number (and, in an extended sense, ratios of whole numbers.) This led to a rift between arithmetic and geometry. They developed a way ...
... As I mentioned above, this proof was known to the school of Pythagorus, and it was deeply disturbing to them, since their (very natural!) concept of number was whole number (and, in an extended sense, ratios of whole numbers.) This led to a rift between arithmetic and geometry. They developed a way ...
Irrational numbers
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, ...
... Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, ...
NUMBER, NUMBER SYSTEMS, AND NUMBER RELATIONSHIPS
... •Compare proper fractions through sixteenths with like and unlike denominators. (M5.A.1.3.3) *Using the appropriate symbol >, <, or =. •Compare and/or order decimals through the thousandths using the appropriate symbol >, <, or =. •Match the standard form to the word form of decimal numbers through ...
... •Compare proper fractions through sixteenths with like and unlike denominators. (M5.A.1.3.3) *Using the appropriate symbol >, <, or =. •Compare and/or order decimals through the thousandths using the appropriate symbol >, <, or =. •Match the standard form to the word form of decimal numbers through ...
Chapter 7 Notes
... I. Definitions A) Algebraic Expression – A group of number or variables connected by +, -, *, / (Except by Zero), Raising to power or roots. B) Equation – A statement where two Algebraic Expressions are Equal. C) Theorem – Linear Equations in one variable: An equation is Linear if and only if it can ...
... I. Definitions A) Algebraic Expression – A group of number or variables connected by +, -, *, / (Except by Zero), Raising to power or roots. B) Equation – A statement where two Algebraic Expressions are Equal. C) Theorem – Linear Equations in one variable: An equation is Linear if and only if it can ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.