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1x1=1

1+1=2

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Q: Counterexample of the product of two positive numbers is greater than the sum of two numbers?
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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.


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.


Is product is plus or minus?

if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.


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.

Related questions

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.


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.


Explain Why the product of two nonzero absolute values is always a positive number?

An absolute value must be greater or equal to zero. If the absolute value is known to be nonzero then it must be greater than zero: that is, it must be positive. The product of two (or more) positive numbers must be positive.


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.


Is product is plus or minus?

if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.


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.


How do you find the product of two numbers when both numbers are positive?

It is a positive.