Number Theory
... 2. What is the smallest three-digit prime? _____ 3. How many multiples of 3 less than 1,000 use only the digits 2 and/or 4. _____ 4. 360 is divisible by both 8 and 9. How many integers less than 360 are also divisible by both 8 and 9? (hint: First find the smallest integer that is divisible by both ...
... 2. What is the smallest three-digit prime? _____ 3. How many multiples of 3 less than 1,000 use only the digits 2 and/or 4. _____ 4. 360 is divisible by both 8 and 9. How many integers less than 360 are also divisible by both 8 and 9? (hint: First find the smallest integer that is divisible by both ...
This summer math booklet was developed to provide
... As we know, the key in equation solving is to isolate the variable. In equations with variables on each side of the equation, we must combine the variables first by adding or subtracting the amount of one variable on each side of the equation to have a variable term on one side of the equation. Then ...
... As we know, the key in equation solving is to isolate the variable. In equations with variables on each side of the equation, we must combine the variables first by adding or subtracting the amount of one variable on each side of the equation to have a variable term on one side of the equation. Then ...
Sums of Two Triangulars and of Two Squares Associated with Sum
... Notice that only three (8n! + 1) from the list in Table 2 can be represented as a square. In addition, by examining the end digits of both factorial and triangular numbers it can be deduced that Ft n = Tx + Tn or n! x( x 1) / 2 is true only if, x belongs to any of the sequences {15, 35, 55, 75, ...
... Notice that only three (8n! + 1) from the list in Table 2 can be represented as a square. In addition, by examining the end digits of both factorial and triangular numbers it can be deduced that Ft n = Tx + Tn or n! x( x 1) / 2 is true only if, x belongs to any of the sequences {15, 35, 55, 75, ...
On Cantor`s diagonal argument
... with regard to practical life and to science. Mathematics rigorously treated from this point of view, and deducing theorems exclusively by means of introspective construction, is called intuitionistic mathematics. ”([2]P78) From his point of view, Brouwer made the remark on the diagonal argument: “t ...
... with regard to practical life and to science. Mathematics rigorously treated from this point of view, and deducing theorems exclusively by means of introspective construction, is called intuitionistic mathematics. ”([2]P78) From his point of view, Brouwer made the remark on the diagonal argument: “t ...
1 - Mu Alpha Theta
... Given four relatively prime numbers, no more than one of the numbers may be even- for if two or more were even, they would have a common factor of 2. As inches South are essentially negative inches North, and inches West are essentially negative inches East, N should be as close to S as possible, an ...
... Given four relatively prime numbers, no more than one of the numbers may be even- for if two or more were even, they would have a common factor of 2. As inches South are essentially negative inches North, and inches West are essentially negative inches East, N should be as close to S as possible, an ...
