If one of the numbers is negative, but the other is positive, then the product is negative - and therefore smaller than both numbers in the question. For example, 2 x -4 = -8.
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Another contributor added:
Also, whenever the absolute magnitude of both factors is less than ' 1 ',
the absolute magnitude of the product is less than either factor.
infinity
Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.
No. Their product is always greater than 0.
No, there are a lot of exceptions to that statement.(1/2) times (1/4) = 1/8 (less than 1/2 and less than 1/4)(5) times (-1) = -5 (less than 5 and less than -1)
If you multiply a number less than 1 by another number less than 1, then the product is less than either of the original numbers. The reason is that a number less than 1 represents a piece of 1 whole thing. Multiplying two numbers less than 1 represents taking a piece of a piece, and when you do that, you wind up with less than either one of the original pieces.
infinity
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
The product of the prime numbers less than 100 is 2.3055679639455188e+36
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
The statement is false. if any or both of numbers are less than 1, the product is less than the greater (or both) of the numbers. Eg. 1/2 x 1/3 = 1/6 ; 1/6 < 1/2 and 1/6 < 1/3
No. The product of two negative numbers is positive.
Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.
No, the product of two positive mixed numbers can never be less than one.
If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.
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.
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
No. Their product is always greater than 0.