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Q: The sum of two numbers is greater than either number?

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

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

Not always.

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

Consider 4 cases 1. The sum of any two positive numbers is clearly greater than either number. 2. The sum of any two negative numbers is LESS than either of the two numbers. ( (Look at -2+(-3)=-5 .) 3. The sum of any negative number and a positive number is always greater than the negative number but less than the positive number. (Look at -2+3=1, or -5+3=-2) 4. The sum of any number and 0 is that number so it is not greater. So it appears that the sum of any two numbers is greater than either of the two numbers when the two number are both positive.

no because 3 + 0= 3 and three is not greater than 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.

No, not when negative numbers are involved. For example, -2 is a multiple of both -1 and 1 and is not greater than either.

There are more composite numbers than prime numbers, but there is no prime or composite number so great that you can't find a greater one of either kind.

Not true if either of the numbers is negative.

Positive numbers are greater than zero.

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.

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