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Q: Product of two positive numbers is greater than either number?

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The product of any numbers greater one is greater than either.

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!

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.

False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.

No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either

Not always. Here are counterexamples: Cases involving 1: 1 x 1 = 1 1 x 3 = 3 Cases involving positive numbers less than 1: 0.5 x 10 = 5 0.5 x 0.5 = 0.25 Note that here we have positive numbers that are less than or equal to 1. When either number is less than 1, the product will not be greater than both numbers. Also, if either number is equal to 1, the product will be equal to the larger of the original numbers. A modified statement is the product P of two positive real numbers x and y such that x, y > 1, is greater than both x and y.

Not always.

Positive numbers are greater than negative numbers. Decimals can be either positive or negative.

The difference between two numbers is the result of a subtraction. This can be either positive or negative, depending on which number is greater.

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.

No.

All numbers greater than one are positive integers that are either composite or prime numbers.

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