
For number smaller than 1
... unit to another. For example: a medium-sized bug is 8.4 mm in length. Express this length in meters. First, consider if the number should be bigger or smaller than 8.4. Which is the bigger unit? The meter is the bigger unit so the answer should be smaller than 8.4. The equivalences are used as ratio ...
... unit to another. For example: a medium-sized bug is 8.4 mm in length. Express this length in meters. First, consider if the number should be bigger or smaller than 8.4. Which is the bigger unit? The meter is the bigger unit so the answer should be smaller than 8.4. The equivalences are used as ratio ...
PowerPoint
... A has 3 rows and 2 columns. Matrix B is a 2 x 2 matrix of rational numbers. Matrix C is a 1 x 4 matrix of real numbers. We also call C a row vector. A matrix consisting of a single column is often called a column vector. ...
... A has 3 rows and 2 columns. Matrix B is a 2 x 2 matrix of rational numbers. Matrix C is a 1 x 4 matrix of real numbers. We also call C a row vector. A matrix consisting of a single column is often called a column vector. ...
Feb 2006
... 3. Let A = {1, 2, 3, 4, 5, 6}. Find the sum of all the numbers from set A such that the Mod 7 powers of that number yield all the elements in A. For example, the powers of 6 in Mod 7 are 61 = 6, 62 = 1, 63 = 6, 64 = 1, etc. Since the powers of 6 do not yield all the elements in set A, it should not ...
... 3. Let A = {1, 2, 3, 4, 5, 6}. Find the sum of all the numbers from set A such that the Mod 7 powers of that number yield all the elements in A. For example, the powers of 6 in Mod 7 are 61 = 6, 62 = 1, 63 = 6, 64 = 1, etc. Since the powers of 6 do not yield all the elements in set A, it should not ...
Semester Exam Review
... month plus $0.05 per minute of use. The equation below gives t, the total cost of the cell phone bill for a month in which n minutes are used. ...
... month plus $0.05 per minute of use. The equation below gives t, the total cost of the cell phone bill for a month in which n minutes are used. ...
Chapter 1
... constant of proportionality 7.2.2.1.4. This type of variation is called direct proportionality 7.2.2.2. A constant change relationship 7.2.2.2.1. numerator increases by causes constant increase in denominator 7.2.2.2.2. Constant change property of quantities that vary proportionally: When quantities ...
... constant of proportionality 7.2.2.1.4. This type of variation is called direct proportionality 7.2.2.2. A constant change relationship 7.2.2.2.1. numerator increases by causes constant increase in denominator 7.2.2.2.2. Constant change property of quantities that vary proportionally: When quantities ...
L3-Arithmetic - Peer Instruction for Computer Science
... • The adder we just built is called a “Ripple Carry Adder” – The carry bit may have to propagate from LSB to MSB – Worst case delay for an N-bit RC adder: 2N-gate delay ...
... • The adder we just built is called a “Ripple Carry Adder” – The carry bit may have to propagate from LSB to MSB – Worst case delay for an N-bit RC adder: 2N-gate delay ...
24. THE DISTRIBUTIVE LAW - One Mathematical Cat, Please!
... One definition of the English verb ‘to distribute’ is ‘to spread out’. The distributive law is one of the most frequently used tools in algebra, and tells how multiplication gets ‘spread out’ when it interacts when addition—it gives a different order of operations that can be used. The basic stateme ...
... One definition of the English verb ‘to distribute’ is ‘to spread out’. The distributive law is one of the most frequently used tools in algebra, and tells how multiplication gets ‘spread out’ when it interacts when addition—it gives a different order of operations that can be used. The basic stateme ...
From arithmetic to algebra
... Why can’t our students achieve introductory algebra? This presentation specifically addresses only introductory algebra, which refers roughly to what is called Algebra I in the usual curriculum. Its main focus is on all students’ access to the truly basic part of algebra that an average citizen nee ...
... Why can’t our students achieve introductory algebra? This presentation specifically addresses only introductory algebra, which refers roughly to what is called Algebra I in the usual curriculum. Its main focus is on all students’ access to the truly basic part of algebra that an average citizen nee ...
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.