an equation that states two ratios are equal is called a proportion

... AN EQUATION THAT STATES TWO RATIOS ARE EQUAL IS CALLED A PROPORTION. THE NUMBERS A AND D ARE CALLED THE EXTREMES. NUMBERS B AND C ARE CALLED THE MEANS. TO SOLVE A PROPORTION YOU TAKE THE PRODUCT OF THE EXTREMES AND SET IT EQUAL TO THE PRODUCT OF THE MEANS. ...

... AN EQUATION THAT STATES TWO RATIOS ARE EQUAL IS CALLED A PROPORTION. THE NUMBERS A AND D ARE CALLED THE EXTREMES. NUMBERS B AND C ARE CALLED THE MEANS. TO SOLVE A PROPORTION YOU TAKE THE PRODUCT OF THE EXTREMES AND SET IT EQUAL TO THE PRODUCT OF THE MEANS. ...

Practice counting in tens from any number. E.g. 6, 16, 26, 36 Add

... tens from any number. E.g. 6, 16, 26, 36 ...

... tens from any number. E.g. 6, 16, 26, 36 ...

Name

... Closure Property – when you perform an operation on a set of numbers, that set is said to be closed under that operation if when you perform the operation on any numbers within that set, the result is a number within that set of numbers. o The set of whole numbers is said to be closed under addition ...

... Closure Property – when you perform an operation on a set of numbers, that set is said to be closed under that operation if when you perform the operation on any numbers within that set, the result is a number within that set of numbers. o The set of whole numbers is said to be closed under addition ...

Special Facts to Know

... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...

... Fibonacci – F0 = 0, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Lucas – F0 = 2, F1 = 1, Fn = Fn-1 + Fn-2 for n > 1 Let s(n) be the sum of all the proper factors of n. Deficient – s(n) < n Perfect – s(n) = n Abundant – s(n) > n Let d(n) be the total number of digits in the prime factorization of n. Frugal / E ...

Unit 1: Value and Magnitude of Rational Numbers

... Base: the number in an expression or equation which is raised to a power or exponent Counting (natural) numbers: the set of positive numbers that begins at one and increases by increments of one each time {1, 2, 3, …, n} – how you naturally count E: a symbol used in a calculator to indicate that the ...

... Base: the number in an expression or equation which is raised to a power or exponent Counting (natural) numbers: the set of positive numbers that begins at one and increases by increments of one each time {1, 2, 3, …, n} – how you naturally count E: a symbol used in a calculator to indicate that the ...

1.1 Patterns and Inductive Reasoning

... What conjecture can you make about the sum of the first 100 even numbers? In other words, what rule are you following? ...

... What conjecture can you make about the sum of the first 100 even numbers? In other words, what rule are you following? ...

Set-Builder Notation

... Verbally this reads: The set of all x such that x is greater than or equal to 8 and x is an element of the set of whole numbers ...

... Verbally this reads: The set of all x such that x is greater than or equal to 8 and x is an element of the set of whole numbers ...

Here is the algorithm example for the week 8 discussion

... Example 2: (to be worked out in the discussion). Write and analyze a pseudocode algorithm that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even ...

... Example 2: (to be worked out in the discussion). Write and analyze a pseudocode algorithm that finds the product of the largest and smallest even integers in the list a 1, a2, …, an. The algorithm should return -1 (or some other negative value) if there are no even numbers. If there is just one even ...

PDF

... setting: h1i hTheoremi h11A25i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. ...

... setting: h1i hTheoremi h11A25i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. ...

Whole Numbers

... ***can be expressed as a decimal that terminates or that repeats indefinitely. Ex. 0.125 or .81818181… 5. Irrational Numbers: a number that can NOT be written as a fraction in the form of a/b where a & b are integers and b does NOT = 0. ***can NOT be expressed as a terminating or repeating decimal! ...

... ***can be expressed as a decimal that terminates or that repeats indefinitely. Ex. 0.125 or .81818181… 5. Irrational Numbers: a number that can NOT be written as a fraction in the form of a/b where a & b are integers and b does NOT = 0. ***can NOT be expressed as a terminating or repeating decimal! ...

focus on problem solving 10

... The solutions to many of the problems of mathematics involve finding patterns. The algebraic formulas we have found in this book are compact ways of describing a pattern. For example, the familiar equation (a + b) 2 = a 2 + 2ab + b 2 gives the pattern for squaring the sum of two numbers. Another exa ...

... The solutions to many of the problems of mathematics involve finding patterns. The algebraic formulas we have found in this book are compact ways of describing a pattern. For example, the familiar equation (a + b) 2 = a 2 + 2ab + b 2 gives the pattern for squaring the sum of two numbers. Another exa ...

Notes 2.7 – Rational Functions

... teams. How many games will be played in a season if each team is to play every other team in the conference exactly one time? Almost exactly like the handshake situation, right? ...

... teams. How many games will be played in a season if each team is to play every other team in the conference exactly one time? Almost exactly like the handshake situation, right? ...

Problem of the Week

... third number. The number 180 can be written as 2 × 2 × 3 × 3 × 5. By playing with the factors we can get the second number 5 × 2 × 3 and the third number 2 × 3. That is, the second number could be 30 and the third number could be 6. Now using the fact that the first number times the second number is ...

... third number. The number 180 can be written as 2 × 2 × 3 × 3 × 5. By playing with the factors we can get the second number 5 × 2 × 3 and the third number 2 × 3. That is, the second number could be 30 and the third number could be 6. Now using the fact that the first number times the second number is ...