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Is the product of two positive numbers greater than either number?
A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either of the two numbers! * Or 0.5 x 10 = 5 . Here the product is greater than 0.5 but smaller than 10. So the answer is ...sometimes!
Is the product of two positive numbers greater than the sum of the two numbers?
Not always, but most of the time.
Is the product of two positive mixed numbers ever less then 1?
No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.
Why do numbers have both positive and negative roots?
because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.
If the product of two numbers is positive then the two numbers must both be positive?
No! If one number is negative and the positive is greater than it's interval (positive version [e.g. the interval of -6 is 6]), then the product will very well be positive. In theory, of course. Sorry, tenth grader speaking... Small error here; product is the result of multiplication. The answer above is correct for a sum, but not a product. The rule for a product is even simpler than for a sum :- If the two numbers have the same signs (both positive or both negative) then the result will be positive. If the numbers have different signs the result will be negative.
Is the product of 2 positive numbers always greater than either number?
No, the product of two positive numbers is not always greater than either number. For example, if you take two positive numbers, such as 0.5 and 0.5, their product is 0.25, which is less than both numbers. However, if both numbers are greater than 1, their product will indeed be greater than either number.
Is the product of two positive numbers greater than either number?
A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either of the two numbers! * Or 0.5 x 10 = 5 . Here the product is greater than 0.5 but smaller than 10. So the answer is ...sometimes!
Is the product of two positive numbers greater than the sum of the two numbers?
Not always, but most of the time.
Is the product of two positive mixed numbers ever less then 1?
No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.
What is true about the product of two even numbers?
The product of two even numbers is even. The product of two even numbers will be even. If they are both positive numbers, it will be greater than both of them. If one of them ends in 0, the product will end in 0.
What is a counterexample to this conjecture the sum of any two integers that are greater then 1 is less then their product?
A counterexample to the conjecture that the sum of any two integers greater than 1 is less than their product is the pair (2, 2). The sum of these integers is 2 + 2 = 4, while their product is 2 × 2 = 4. Here, the sum equals the product, demonstrating that the conjecture does not hold for all integers greater than 1.
Why do numbers have both positive and negative roots?
because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.
What is the product of two negative and three positive numbers?
It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.
Is the geometric mean of two positive numbers greater then the average of the two numbers?
Geometric mean is not the same as the maths average. It is the nth root of the product of n numbers.
If the product of two numbers is positive then the two numbers must both be positive?
No! If one number is negative and the positive is greater than it's interval (positive version [e.g. the interval of -6 is 6]), then the product will very well be positive. In theory, of course. Sorry, tenth grader speaking... Small error here; product is the result of multiplication. The answer above is correct for a sum, but not a product. The rule for a product is even simpler than for a sum :- If the two numbers have the same signs (both positive or both negative) then the result will be positive. If the numbers have different signs the result will be negative.
What is the sign of the product of 47 negative numbers and three positive numbers?
Negative because product of 47 negative numbers is negative and product of three positive number is Positive , so negative*positive = Negative.
The product of two posotive numbers or two negative numbers is?
The product of two positive numbers or two negative numbers is a positive number.
