EEI - ITWS
... Axioms of Algebra - 2 W – 3 = 5 Is a true statement if W = 8 Now, Add +3 to both sides (Fair?) and W = 8 X + 4 = 9 Is a true statement if X = 5 Subtract +4 to both sides (Fair?) and X = 5 Y/3 = 6 Is a true statement if Y = 18 Multiply both sides by +3 (Fair?) and Y = 18 6Z = 24 Is a true statement ...
... Axioms of Algebra - 2 W – 3 = 5 Is a true statement if W = 8 Now, Add +3 to both sides (Fair?) and W = 8 X + 4 = 9 Is a true statement if X = 5 Subtract +4 to both sides (Fair?) and X = 5 Y/3 = 6 Is a true statement if Y = 18 Multiply both sides by +3 (Fair?) and Y = 18 6Z = 24 Is a true statement ...
Properties of Exponents
... multiplication to rewrite this product so that the a factors are together and the b factors are together Rewrite the expression so that the factor a is raised to an exponent and the factor b is raised to an exponent Rewrite the expression as a product of factors raised to exponents ...
... multiplication to rewrite this product so that the a factors are together and the b factors are together Rewrite the expression so that the factor a is raised to an exponent and the factor b is raised to an exponent Rewrite the expression as a product of factors raised to exponents ...
Lecture 6
... • A natural number n is prime iff the only natural numbers dividing n are 1 and n. • The following are prime: 2, 3, 5, 7, 11, 13, … and so are 1299709, 15485863, 22801763489, … • There are an infinite number of prime numbers. • Is 2101-1=2535301200456458802993406410751 prime? • How do we check wheth ...
... • A natural number n is prime iff the only natural numbers dividing n are 1 and n. • The following are prime: 2, 3, 5, 7, 11, 13, … and so are 1299709, 15485863, 22801763489, … • There are an infinite number of prime numbers. • Is 2101-1=2535301200456458802993406410751 prime? • How do we check wheth ...
Section 4
... ***You can use the products of powers and quotient of powers properties with problems involving negative exponents.*** ...
... ***You can use the products of powers and quotient of powers properties with problems involving negative exponents.*** ...
6.1 Polynomial Functions
... The coefficients, as they are called, are an, an-1, ..., a1, a0. These are real numbers. The degree of the polynomial function is the highest value for n where an is not equal to 0. The terms in the polynomial are shown in descending order by degree. This order illustrates the standard form of a pol ...
... The coefficients, as they are called, are an, an-1, ..., a1, a0. These are real numbers. The degree of the polynomial function is the highest value for n where an is not equal to 0. The terms in the polynomial are shown in descending order by degree. This order illustrates the standard form of a pol ...
Long division for integers
... particular step. Then the decimal digit for that step is the largest integer D so that 10L − bD < b. (This is the same as saying that bD is the largest multiple of b that is less than or equal to 10L.) Moreover, the leftover for the next step is given by 10L − bD. These are the only decimal digits a ...
... particular step. Then the decimal digit for that step is the largest integer D so that 10L − bD < b. (This is the same as saying that bD is the largest multiple of b that is less than or equal to 10L.) Moreover, the leftover for the next step is given by 10L − bD. These are the only decimal digits a ...
Uncertainty in Measurements & Significant Figures
... By using the same procedure each time, you know how accurately you know a measured value, and which digit is uncertain because it is estimated. ...
... By using the same procedure each time, you know how accurately you know a measured value, and which digit is uncertain because it is estimated. ...
chem_100chapter_2 - Imperial Valley College Faculty Websites
... It is not uncommon for temperatures in the Canadian plains to reach –60oF and below during the winter. What is this temperature in oC and K? ...
... It is not uncommon for temperatures in the Canadian plains to reach –60oF and below during the winter. What is this temperature in oC and K? ...
Fractions Decimals Percents - Basic Ops Fractions
... in the shop, the graphic arts classroom, or in the medical clinic without fractions being involve as a major part of what you are calculating. All vocational students need to have an accurate working knowledge of fraction problem solving. Future lessons will use a calculator to solve fraction proble ...
... in the shop, the graphic arts classroom, or in the medical clinic without fractions being involve as a major part of what you are calculating. All vocational students need to have an accurate working knowledge of fraction problem solving. Future lessons will use a calculator to solve fraction proble ...
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.