Prime Numbers
... For some groups, though, there is no way at all divide them into separate groups. For example, if there are 13 people in the room, there is no way to evenly divide them, except if want to divide them into 13 “groups” with one person each. Natural numbers which cannot be “broken up” into products of ...
... For some groups, though, there is no way at all divide them into separate groups. For example, if there are 13 people in the room, there is no way to evenly divide them, except if want to divide them into 13 “groups” with one person each. Natural numbers which cannot be “broken up” into products of ...
monkey puzzle - St-James-ICT
... Use your pattern to make a list of the first six numbers. Check each number by typing it into B5 on your spreadsheet (Number to start). How can we find the 100th number in the pattern? Do we have to find them all until we get to the 100th? No!!! ...
... Use your pattern to make a list of the first six numbers. Check each number by typing it into B5 on your spreadsheet (Number to start). How can we find the 100th number in the pattern? Do we have to find them all until we get to the 100th? No!!! ...
1 Introduction to Logic
... We can weigh a 1-gram potato in several ways. One way is with two 7's with the potato balanced by three 5's, for 1+2·7 = 3·5. Figure out some of the other ways. Since we can weigh a 1-gram potato, there's an algorithm for measuring any weight. For example, a 6-gram potato weighs as much as six 1-gra ...
... We can weigh a 1-gram potato in several ways. One way is with two 7's with the potato balanced by three 5's, for 1+2·7 = 3·5. Figure out some of the other ways. Since we can weigh a 1-gram potato, there's an algorithm for measuring any weight. For example, a 6-gram potato weighs as much as six 1-gra ...
Fractions
... Equivalent fractions are fractions that have the same value or represent the same part of an object. If a pie is cut into two pieces, each piece is also onehalf of the pie. If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to ...
... Equivalent fractions are fractions that have the same value or represent the same part of an object. If a pie is cut into two pieces, each piece is also onehalf of the pie. If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to ...
Unique factorization
... divisibility, we have been more familiar with their unit digits and proved that the unit digits of pi and M 2 cannot be 5 and 5, 9 and 1 or 9 and 9. Furthermore, if the unit digit of pi is not 1 for all i = 2,3,..., n then the unit digits of p i and M 2 are never 3 and 5, 5 and 1, 5 and 9, and 7 and ...
... divisibility, we have been more familiar with their unit digits and proved that the unit digits of pi and M 2 cannot be 5 and 5, 9 and 1 or 9 and 9. Furthermore, if the unit digit of pi is not 1 for all i = 2,3,..., n then the unit digits of p i and M 2 are never 3 and 5, 5 and 1, 5 and 9, and 7 and ...
10/20/04
... – Trying to represent an integer that is larger than the most positive allowable integer or more negative than most negative integer – Frequently occurs during math operations ...
... – Trying to represent an integer that is larger than the most positive allowable integer or more negative than most negative integer – Frequently occurs during math operations ...
Complex Numbers Imaginary Number
... eiy = cos( y ) + i sin( y ) From this, we get two more formulas: ...
... eiy = cos( y ) + i sin( y ) From this, we get two more formulas: ...
Day 10: Precious Conjectures Grade 7
... disprove a conjecture or theory. Sometimes practical applications of these theories are not evident for years afterward. Students may recognize Einstein’s Theory of Relativity, E = MC2 as an example of a conjecture. Lead a discussion on Goldbach’s Conjecture: “Every even number greater than 2 can be ...
... disprove a conjecture or theory. Sometimes practical applications of these theories are not evident for years afterward. Students may recognize Einstein’s Theory of Relativity, E = MC2 as an example of a conjecture. Lead a discussion on Goldbach’s Conjecture: “Every even number greater than 2 can be ...
NORTHERN ILLINOIS UNIVERSITY Continued Fraction Sums and
... and the continuedfraction product. Any real number can be written as a continued fraction, so the addition and multiplication of any two continued fractions is the same as the real numbers they represent. However, the continued fraction sum and continued fraction product each result in another conti ...
... and the continuedfraction product. Any real number can be written as a continued fraction, so the addition and multiplication of any two continued fractions is the same as the real numbers they represent. However, the continued fraction sum and continued fraction product each result in another conti ...
worksheets - OpenTextBookStore
... Example: Suppose Katie went out to lunch every day this week, and spent $12, $8, $72, $6, and $10 (the third day she took the whole office out). To find the median, we'd put the data in order first: $6, $8, $10, $12, $72. Since there are 5 pieces of data, an odd number, the median is the middle valu ...
... Example: Suppose Katie went out to lunch every day this week, and spent $12, $8, $72, $6, and $10 (the third day she took the whole office out). To find the median, we'd put the data in order first: $6, $8, $10, $12, $72. Since there are 5 pieces of data, an odd number, the median is the middle valu ...
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.