crossnumber - United Kingdom Mathematics Trust
... Time allowed: 20 minutes. Some clues can be answered without reference to any other clues. Some clues are connected so you may not be able to answer these straight away. One mark is given for each correct digit at the first time of being presented to your supervising teacher. There are two p ...
... Time allowed: 20 minutes. Some clues can be answered without reference to any other clues. Some clues are connected so you may not be able to answer these straight away. One mark is given for each correct digit at the first time of being presented to your supervising teacher. There are two p ...
Number Concepts Mathematics
... Standard(s): MCA 6.1.1.6 Determine GCF of whole numbers. Use common factors to find equivalent fractions. Objectives: Students will: be able to determine the Greatest Common Divisor or GCF using the “Set Definition Approach.” be able to describe a situation when on has to use the GCD/GCF. Launch ...
... Standard(s): MCA 6.1.1.6 Determine GCF of whole numbers. Use common factors to find equivalent fractions. Objectives: Students will: be able to determine the Greatest Common Divisor or GCF using the “Set Definition Approach.” be able to describe a situation when on has to use the GCD/GCF. Launch ...
Mathematical Operations with Fraction Bars
... following yellow bars have 2 out of 3 parts shaded and represents the fraction 2/3. After splitting each part of the first bar into 2 equal parts, both the total number of parts and also the number of shaded parts are doubled. So the bar now has 6 parts and 4 shaded parts, and it represents the frac ...
... following yellow bars have 2 out of 3 parts shaded and represents the fraction 2/3. After splitting each part of the first bar into 2 equal parts, both the total number of parts and also the number of shaded parts are doubled. So the bar now has 6 parts and 4 shaded parts, and it represents the frac ...
Lecture 9
... How many prime numbers are there? ANSWER: There are infinitely many. We use a proof by contradiction. FIRST, note that if a>1, ab+1 is NEVER divisible by a. NOW, suppose there were only finitely many primes, {p1, p2,...,pn}. Multiply them all and add 1: p1p2...pn + 1 This number is not divisible by ...
... How many prime numbers are there? ANSWER: There are infinitely many. We use a proof by contradiction. FIRST, note that if a>1, ab+1 is NEVER divisible by a. NOW, suppose there were only finitely many primes, {p1, p2,...,pn}. Multiply them all and add 1: p1p2...pn + 1 This number is not divisible by ...
Fun with Floats
... Floats are inexact by nature and this can confuse programmers. This chapter introduces this problem and presents some practical solutions to it. The basic message is that Floats are what they are: inexact but fast numbers. Note that most of the situations described in this chapters are consequences ...
... Floats are inexact by nature and this can confuse programmers. This chapter introduces this problem and presents some practical solutions to it. The basic message is that Floats are what they are: inexact but fast numbers. Note that most of the situations described in this chapters are consequences ...
Square Roots Modulo p
... Proof. Notice that the set of t such that t2 − a is a quadratic residue is exactly the same as the set of different t which appear among the pairs (s, t) such that s2 = t2 − a. This equation is the same as (t − s)(t + s) = a, and so it clearly has p − 1 solutions. Now, for each solution (s, t) we ge ...
... Proof. Notice that the set of t such that t2 − a is a quadratic residue is exactly the same as the set of different t which appear among the pairs (s, t) such that s2 = t2 − a. This equation is the same as (t − s)(t + s) = a, and so it clearly has p − 1 solutions. Now, for each solution (s, t) we ge ...
Measurement and Significant Figures
... Scientific notation: all numbers listed in the coefficient are considered to be significant. Examples: 1.7 x 10-4 has 2 sig figs 1.30 x 10-2 has 3 sig figs ...
... Scientific notation: all numbers listed in the coefficient are considered to be significant. Examples: 1.7 x 10-4 has 2 sig figs 1.30 x 10-2 has 3 sig figs ...
CS 315: Computer Logic and Digital Design
... Binary numbers • a bit: a binary digit representing a 0 or a 1. • Binary numbers are base 2 as opposed to base 10 typically used. • Instead of decimal places such as 1s, 10s, 100s, 1000s, etc., binary uses powers of two to have 1s, 2s, 4s, 8s, 16s, 32s, 64s, etc. ...
... Binary numbers • a bit: a binary digit representing a 0 or a 1. • Binary numbers are base 2 as opposed to base 10 typically used. • Instead of decimal places such as 1s, 10s, 100s, 1000s, etc., binary uses powers of two to have 1s, 2s, 4s, 8s, 16s, 32s, 64s, etc. ...
6.1 negative numbers and computing with signed
... The process of subtraction of signed numbers cannot be completed without an understanding of the addition of signed numbers. When subtracting signed numbers, it is necessary to change to an addition problem, by adding the opposite of the second number to the first number. (Using the addition rules f ...
... The process of subtraction of signed numbers cannot be completed without an understanding of the addition of signed numbers. When subtracting signed numbers, it is necessary to change to an addition problem, by adding the opposite of the second number to the first number. (Using the addition rules f ...
Powers and roots - Pearson Schools and FE Colleges
... Find the two smallest whole numbers where the diff erence of their squares is a cube, and the diff erence of their cubes is a square. ...
... Find the two smallest whole numbers where the diff erence of their squares is a cube, and the diff erence of their cubes is a square. ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.