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Q: Is the product of tow numbers is greater than either number?

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

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

if divide the prime numbers by the compositenumber it will give you a greater number that is either a prime number or composite.

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!

Yes, if both the numbers have the same sign. But not if only one of them is negative.

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.

Not if either of the numbers is between 0 and 1. 5*0.5 = 2.5 is not greater than 5 0.3*0.4 = 0.12 is smaller than both multiplicands.

The Fundamental theorem of arithmetic.

The sum of two numbers will almost always be greater than either number. The only exception would be when dealing with two negative numbers.

"Either" is used for two. I'll assume that you mean "larger than ANY of them". The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one. For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example: 0.5, 3, 5 The largest number here is 5; the product of the OTHER two is 0.5 x 3 = 1.5. Or here is an example with integers: -5, -3, 10 The product of the "other two" numbers is 15, which is larger than one - so the product of all three is larger than the largest number (and therefore, larger than ANY of them). Another example: -5, 1, 10 The product of the two numbers OTHER than the largest is -5 x 1 = -5; since this is NOT greater than 1, the product of all three is NOT greater than any of the numbers. This reasoning can be extended to four or more numbers. For 4 numbers: If the product of all three numbers OTHER than the largest one is GREATER than one, then the product of ALL FOUR numbers is greater than ANY of them.

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

The product of two mixed numbers is always greater than one (assuming that both of the mixed numbers themselves are greater than one.)

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