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.
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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.
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.
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!
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
In mathematics, the term "product" refers to the result of multiplying two or more numbers together. When you see the phrase "product is plus or minus," it typically means that the result of the multiplication can be either positive or negative, depending on the signs of the numbers being multiplied. For example, when you multiply a positive number by a positive number, the product is positive. When you multiply a negative number by a negative number, the product is also positive.