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. 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
never less than n
No. The product of two negative numbers is positive.
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.
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
infinity
No, the product of two positive mixed numbers can never be less than one.
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.
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 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. ===================================== 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.
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)
never less than n
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.
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.
No. The product of two negative numbers is positive.