PROJECT 2
... Modular arithmetic was discovered by K.F. Gauss in 1801. Two numbers are equal modulo n if their difference is exactly divisible by n. Modular addition and modular multiplication are both commutative, and can be used to create a cryptography system. [1] First, each character in the message to be enc ...
... Modular arithmetic was discovered by K.F. Gauss in 1801. Two numbers are equal modulo n if their difference is exactly divisible by n. Modular addition and modular multiplication are both commutative, and can be used to create a cryptography system. [1] First, each character in the message to be enc ...
Multiplying and Dividing Rational Numbers
... DIVIDING RATIONAL NUMBERS SAME RULES AS FOR MULTIPLICATION! IF THE SIGNS ARE THE SAME, DIVIDE THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. ...
... DIVIDING RATIONAL NUMBERS SAME RULES AS FOR MULTIPLICATION! IF THE SIGNS ARE THE SAME, DIVIDE THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. ...
File
... Rational Numbers – numbers that can be expressed as one integer a divided by another integer b, where b is not zero You can write a rational number a in the form or in decimal b form ...
... Rational Numbers – numbers that can be expressed as one integer a divided by another integer b, where b is not zero You can write a rational number a in the form or in decimal b form ...
Lesson 2 Rational and Irrational Numbers Notes
... When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #1: ...
... When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #1: ...
Numeracy Checklist - with links to websites
... States using hand judgement which of 2 objects is (a) the heavier (b) the lighter Orders 3 weights by handling to determine ‘heavier than’ and ‘lighter than’ Orders 3 parcels into the correct sequence from heaviest to lightest by handling Makes objects on scales balance e.g. conkers balance 4 ...
... States using hand judgement which of 2 objects is (a) the heavier (b) the lighter Orders 3 weights by handling to determine ‘heavier than’ and ‘lighter than’ Orders 3 parcels into the correct sequence from heaviest to lightest by handling Makes objects on scales balance e.g. conkers balance 4 ...
Guided Notes and Practice: Properties of Real Numbers
... Complete the following statements: 14. The Commutative Property applies to the operations of of and . It states that the order of terms foes not change the sum or product. 15. The Associative Property states that the terms can be grouped in any order in ____ problems or in problems, without affectin ...
... Complete the following statements: 14. The Commutative Property applies to the operations of of and . It states that the order of terms foes not change the sum or product. 15. The Associative Property states that the terms can be grouped in any order in ____ problems or in problems, without affectin ...
Properties of Equality, Identity, and Operations
... • This property is helpful when solving equations where there is a fraction “attached” to a variable by multiplication. The normal inverse operation for multiplication is division, but in this case, you will multiply both sides of the equation by the reciprocal of the fraction. ...
... • This property is helpful when solving equations where there is a fraction “attached” to a variable by multiplication. The normal inverse operation for multiplication is division, but in this case, you will multiply both sides of the equation by the reciprocal of the fraction. ...
Summer Packet Answer Key
... A) Complete the following using the order of operations. Do only ONE STEP at a time. For each step, list the specific problem you are doing for that step and its answer in the first column, and then substitute that answer into the problem and state the result in the second column. The first one is c ...
... A) Complete the following using the order of operations. Do only ONE STEP at a time. For each step, list the specific problem you are doing for that step and its answer in the first column, and then substitute that answer into the problem and state the result in the second column. The first one is c ...
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.