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My conjecture is that the sum is 67.
A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
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What conjecture can you make about the sum of the first 10 positive even numbers?
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
How to Make a conjecture about the sum of the first 100 odd numbers?
1+3+5+7+9+11 all the way to 100 = ?
How do you find the quotient of the two numbers when one is positive and one is negative?
Pretend both the numbers are positive, find the quotient as normal and then make it negative.
What is a negative times a positive times a positive?
A negative. If you have a string of positive and negative numbers multiplied together, all you need to find the sign of the answer is to find the parity of the negative numbers. If there are an odd number of negatives then the answer is negative and if there are an even number of negatives then the answer is positive. Remember, positive numbers make no difference to the sign of the answer.
In a fraction if the top and bottom numbers are negative does that make the fraction positive?
Yes.
