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Topic: Base (math)


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In the News (Sun 27 Dec 09)

  
  Math foru' : maths, forum et cours.
Bien conçu, c'est un bon forum de math.
Racine de 2 irrationnel (Ex DM de math nombre pair ou impair...)
J'en présente ici les commandes de base pour un premier contact.
www.mathforu.com   (515 words)

  
  Math Forum: Ask Dr. Math FAQ: Number Bases
This means, for example, that 0 in base 16 represents the same thing as 0 in base 10; we put this in equation form: 0(16) = 0(10), where the 16 and the 10 in parentheses refer to bases...
From binary to octal, base 4 to base 16
Base 2 and base 16 are heavily used in computers, but base ten (decimal) is so heavily entrenched that the only other example I can think of where another base is commonly used is in old-style counting: dozen = 12, gross = 144 = 12*12, great gross = 1768 = 12*12*12.
mathforum.org /dr.math/faq/faq.bases.html   (0 words)

  
  PlanetMath: digital number system
It is the base that tells us how much of a fraction or how many whole units.
Intuitively this makes sense: when we try to represent the number which follows “9” in the decimal system, we know it must be “10”, since there is no symbol after “9.” Hence, position as well as symbol conveys the meaning, and base tells us how much a unit in each position is worth.
Curiously, though one would think that the choice of base leads to merely a different way of rendering the same information, there are instances where things are variously provable or proven in some bases, but not others.
planetmath.org /encyclopedia/Base3.html   (326 words)

  
 Math Matters - Home
Math Matters’ theory of action, displayed in the Figure 1, is to increase students’ achievement by improving teachers’ knowledge and practice in the classroom.
Math Matters coaches help teachers to think through their teaching strategies as well as the mathematics content and determine the what strategies are critical and what mathematics is essential.
Math Matters works with districts and schools that are committed to long-term professional development in mathematics for teachers and administrators.
www.wested.org /pub/docs/625   (1749 words)

  
 Number Bases: Introduction / Binary Numbers
Converting between different bases is actually fairly simple, but the thinking behind it can seem a bit confusing at first.
The only reason base-ten math seems "natural" and the other bases don't is that you've been doing base-ten since you were a child.
When you study this topic in class, you will probably be expected to convert numbers to various other bases, so let's looks at a few more examples.
www.purplemath.com /modules/numbbase.htm   (0 words)

  
 Area of a Triangle
The base and height of a triangle must be perpendicular to each other.
In the triangles in Examples 1 and 3, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
The area of a triangular-shaped mat is 18 square feet and the base is 3 feet.
www.mathgoodies.com /lessons/vol1/area_triangle.html   (520 words)

  
 Base 8: Math
The numbers in base eight look just like our normal numbers (except that they never use the symbols 8 or 9), but they don't mean the same things.
First, you understand that our normal system of counting is based on the principle that every tenth number, you start over and move to the left—because there are only ten symbols to work with.
So we can say "1235 base eight equals 669 base ten." Or, to put it another way, "when you write 1235 in base eight, you really mean the number six-hundred and sixty-nine." That's a kind of base-ten-centric way to put it, but hey, we're base-ten-centric people.
www.ncsu.edu /felder-public/kenny/papers/bases.html   (1605 words)

  
 Traditional K-12 Math Education
Math is a man-made abstraction that only exists in the human mind or in written form.
From this viewpoint, theorems are "math facts" that are "proven" to "follow from" already established math facts by a step-by-step process of deductive logic.
Help kids recognize that the challenges of genuine math are exciting and rewarding in ways that go well beyond the "math must be fun and easy" visualization of the NCTM and the "progressive" education establishment.
www.wgquirk.com /Genmath.html   (1365 words)

  
 Area of a Parallelogram
The base and height of a parallelogram must be perpendicular.
However, the lateral sides of a parallelogram are not perpendicular to the base.
The area of a parallelogram is 24 square centimeters and the base is 4 centimeters.
www.mathgoodies.com /lessons/vol1/area_parallelogram.html   (326 words)

  
 A Base for the Topology   (Site not responding. Last check: 2007-10-31)
If the base criterion fails, then x∩y cannot be a union of base sets, and is not open; yet it must be open, as it is the intersection of two open sets.
The finite intersection of base sets is thus a union of base sets, and is open, as it should be.
The union of all these base sets z is the finite intersection of our original open sets, hence the finite intersection of open sets is open, and the base generates a valid topology.
www.mathreference.com /top,base.html   (498 words)

  
 Base 10 Block Teaching Ideas
Base 10 blocks consist of unit cubes (1/2" x 1/2" x 1/2"), ten rods (1/2" x 1/2" x 5"), and hundred flats (5" x 5" x 1/2").
Use the base 10 blocks (or beans, pretzels, any manipulatives) to generate the table of facts.
Directions are in the Marvelous Math Tricks handout.
www.susancanthony.com /Resources/base10ideas.html   (1722 words)

  
 Client-Side JavaScript Reference
Euler's constant and the base of natural logarithms, approximately 2.718.
The base 10 logarithm of E (approximately 0.434).
The base 2 logarithm of E (approximately 1.442).
docs.sun.com /source/816-6408-10/math.htm   (1099 words)

  
 Alice In Wonderland Easter Egg : "Base"-ic Math
Bases are different standards by which numbers are measured.
Base number conversion (from base 10) is accomplished by dividing a number by the target base.
The trick is she use the result of base 10 4x5=20 and the result of it decomposed in base 18 4x5=12
www.eeggs.com /items/20350.html   (1963 words)

  
 Math Lair - Base Conversion   (Site not responding. Last check: 2007-10-31)
Converting a number from a base other than base 10 to base 10 is fairly simple.
Converting a number from base 10 to another base is slightly more involved, but isn't complicated.
A similar process can be used to convert from an arbitrary base to another, but often it's just easier to convert the number from the original base to base 10, and then to the new base, simply because it's easier for us to think in base 10.
www.stormloader.com /ajy/baseconv.html   (231 words)

  
 Math Wars in Massachusetts
Similar to the parent, the 1995 MMCF failed to identify the specific, grade-by-grade math content that should be taught and learned during the K-12 years.
Belief that each child must be allowed to follow their own interests to personally discover the math knowledge that they find interesting and relevant to their own lives.
Rejection of the traditional process of math education whereby teachers ask questions and present problems that have been carefully chosen to lead students to discover teacher-targeted math knowledge.
www.webcom.com /~wgquirk/Massmath.htm   (1384 words)

  
 PlanetMath: logarithm
Before the advent of electronic calculators and computers, tables of logarithms and the logarithmic slide rule were essential computational aids.
Scientific applications predominantly make use of logarithms whose base is the Eulerian number
By contrast, computer science and information theory texts often assume 2 as the default logarithm base.
planetmath.org /encyclopedia/Base.html   (276 words)

  
 CHANGING THE BASE OF A LOGARITHM
When the base is 10, we can leave off the 10 in the notation.
In fact, it is closer to 4 than to 5 because 18 is closer to 16 than it is to 32.
The answer is the same as the answer you found when you converted the base to 10.
www.sosmath.com /algebra/logs/log4/log43/log43.html   (309 words)

  
 Base
New to Version 2, BASE enables you to manipulate database data seamlessly within OpenOffice.org.
BASE offers a choice of using Wizards, Design Views, or SQL Views for beginners, intermediate, and advanced users.
BASE includes a full version of the HSQL database engine, storing data in XML files.
www.openoffice.org /product/base.html   (301 words)

  
 Math
Similarly, one can also insert these into other OpenOffice.org programs like CALC and IMPRESS.
Using MATH, there are three main ways of entering a formula:
Right-click on the equation editor and select the symbol from the context menu.
www.openoffice.org /product/math.html   (128 words)

  
 Pure Mac: Calculators & Math - Software for Macintosh
Base Converter converts an integer expressed in one base to an expression in another base.
It was thought to replace the standard calculator based on a metaphor that is simply out of date.
The stack behavior is based, rather loosely, on the HP-28S.
www.pure-mac.com /calcmath.html   (0 words)

  
 Math Perspectives | Base
Math Perspectives is committed to providing Pre-K to 6th grade mathematics educators with tools, strategies, and assessments that will ensure that all students are successful in the study of mathematics and are able to use mathematics to solve problems and to think and reason mathematically.
Math Perspectives Assessing Math Concepts book series by Kathy Richardson is a continuum of K-3 math assessments designed to assess counting, comparing, addition and subtraction and place value concepts.
The Math Perspectives Assessing Math Concepts (AMC) Institute is designed for teachers, math coaches, math coordinators, teacher-leaders, professional developers and other educators who support professional development of kindergarten through third grade teachers of mathematics.
www.mathperspectives.com /pages/assess.html   (228 words)

  
 Math Magic - Changing Base 2 to Base 8   (Site not responding. Last check: 2007-10-31)
Find the number each triplet would be equal to in base 10 and write them down in order.
B. Notice if you are asked to go from base 4 to base 2, the method would be simple:
Since the first number is represented by 001, we only write 1, since we cannot use 0's at the beginning of numbers.
www.math-magic.com /base_manipulations/base_2_8.htm   (177 words)

  
 base   (Site not responding. Last check: 2007-10-31)
Use a base pay of $29,000 to figure your bonus.
The base of this building is the cellar.
Base camp was the starting point for the mountain climb.
www.mathnstuff.com /math/spoken/here/1words/b/b1.htm   (146 words)

  
 Color Math   (Site not responding. Last check: 2007-10-31)
Color Math will be used later in the chapter to prove the validity of this conclusion.
We now attempt to understand the impact of the base color by infusing white base with increasing amounts of primary hues and observe the changes to the resulting color.
The base color maintains its percentage value of 100, 75, 50, 25 and 0% of the total color respectively, regardless of the amounts of multiple primaries which make up the remainder.
www.colorcube.com /articles/math/math.htm   (2918 words)

  
 Math Magic - Changing Base 3 to Base 9
Find the number each pair would be equal to in base 10 and write them down in order.
B. Notice if you are asked to go from base 9 to base 3, the method would be simple:
Since the first number is 02, we only write 2 because no number can begin with 0's.
www.math-magic.com /base_manipulations/base_3_9.htm   (191 words)

  
 "ABC Basic Mathematics Short-Cuts Of Base-10 Math"
1st - Every math student, that studies and learns all the multiplication methods or shortcuts contained within this Base-10 Math workbook, will be able to multiply two and three digit numbers in their mind.
2nd - Every elementary math teacher, that studies and learns all the multiplication methods or shortcuts contained within this Base-10 Math workbook, will be able to multiply two and three digit numbers in their mind.
4th - Every college or university math professor, that studies and learns all the multiplication methods or shortcuts contained within this Base-10 Math workbook, will be able to multiply two and three digit numbers in their mind.
www.abcbiblemath.com /claims.htm   (397 words)

  
 Base Ten Math Manipulative Standard Set
Math manipulatives based on the centimeter cube, Base Ten Blocks are valuable and versatile manipulatives for any mathematics lessons.
Based on the centimeter cube, Base Ten Blocks are valuable and versatile manipulatives for any mathematics lessons.
The Base Ten Standard Set includes 200 unit cubes, 100 ten rods, 30 hundred flats, and 3 thousand cubes.
www.homeschooldiscount.com /home2/DERbaseten.htm   (96 words)

  
 Mathematics WWW Virtual Library [FSU Math]
Math Mechanixs Math Software An easy to use math software and graphing calculator program that allows the user to compose full color 2D & 3D graphs and so much more.
Moogie Math drill and diagnostic software for 4th, 6th, 8th,9th, and 10th grade math remediation.
Numeracy Software is a site for teachers which has free resources to support math teaching, including lots of free software to download.
www.math.fsu.edu /Virtual/index.php?f=21   (2016 words)

  
 JS: Math: Base Conversion / Enumeration (Javascript)   (Site not responding. Last check: 2007-10-31)
Most base conversion do not take into account the leading number (normally a zero) when enumerating or converting: for instance you have number such as [0 1 2 3 4 5 6 7 8 9] and the subsequent group start with 1: [10 11 12 13 14...] not with zero: [00, 01, 02, 03, 04...].
each base is composed of lots: like the decimal system is composed of the tents, then of the hudreds, then of the thousands: this first method finds the amount of entries that are in all the lots before the lot the given number belongs to in its base.
In fact, if you want to convert between fantasy bases like say ["aa,ab,ac"] and ["xx,yyyy"] that would be like converting between base 3 (three fancy entries) and base 2 (two fancy entries) whereas the only difference is that instead of numbers you have instructed the baseConverter to handle fantasy items.
www.unitedscripters.com /scripts/math4.html   (2815 words)

  
 Number Base Converter   (Site not responding. Last check: 2007-10-31)
(This converts non-integer values and negative bases too!)
Caution: due to CPU restrictions, some rounding has been known to occur for numbers spanning greater than 12 base10 digits, 13 hexadecimal digits or 52 binary digits.
Just like a regular calculator, rounding can occur.
www.math.com /tables/general/base_conv.htm   (43 words)

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