1.4 - hrsbstaff.ednet.ns.ca
... The number abc is divisible by 9 only when (a + b + c) is divisible by 9. ...
... The number abc is divisible by 9 only when (a + b + c) is divisible by 9. ...
THE FOURTH TEST Problem 1. Show that, for all positive real
... 1. The existence of even perfect numbers is related to the Mersenne primes (numbers of the form 2p − 1, with p prime), of which it is not known whether they are infinitely many or not, but if 2p − 1 and p are both primes, then 2p−1 (2p − 1) is a perfect number. Moreover, these are the only even perf ...
... 1. The existence of even perfect numbers is related to the Mersenne primes (numbers of the form 2p − 1, with p prime), of which it is not known whether they are infinitely many or not, but if 2p − 1 and p are both primes, then 2p−1 (2p − 1) is a perfect number. Moreover, these are the only even perf ...
Adding and Subtracting Integers
... Adding and Subtracting Integers! Standard: NS 2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations that use positive and negative integers and combinations of these operations. Objective: Students will solve addition and subtraction ...
... Adding and Subtracting Integers! Standard: NS 2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations that use positive and negative integers and combinations of these operations. Objective: Students will solve addition and subtraction ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.