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When is the product of two fractions less than its factors?
If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.
If you multiply two decimals less than 1 can you predict whether the product will be less or greater than either of the factors?
No, you cannot. The answer can be greater than (or less than) neither, one or both numbers.For example,-4.5 and -2.2 are both less than 1. Their product is 9.9 which is greater than both.-4.5 and 0.2 are both less than 1. Their product is 0.9 which is less greater than one and less than the other.0.5 and 0.2 are both less than 1. Their product is 0.01 which is less than both.
3 less than the product of 9 and a number?
3 less than the product of 9 and a number
If you multiply two decimals less than 1 can you predict wether the product will be less than or greater than either of the factors?
Fractional multiplication results are always less than any of the factors. You can't hit ugly with an ugly stick and expect to get pretty. The above answer is only true is both your fractions are non-negative (in addition to being less than 1.
When multiplying proper fractions why is the product less than the both factors?
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
What do you notice about the relationship between the factors and the product when multiplying two decimals less than 1?
The factors are greater than the product.
How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
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.
When one factor is less then 1 is the product greater or less than the other 2 factors?
If there are three factors, then one of them being less than 1 does not imply anything about the product of all three and either of the other two factors. For example, 2 = 0.5*1*4 where the first factor is less than 1. The product 2 is less than one of the other factors but bigger than the last.
When you multiply two thirds by a fraction less than one how does the product compare to the factors?
The product is less than either factor.
How do you know when two pairs of numbers will have an LCM that is less than the product of the numbers?
When their GCF is greater than 1. When they have prime factors in common.
How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?
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.
When is the product of two fractions less than its factors?
If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.
What pairs have a LCM that is less than the product?
Pairs with common factors other than 1.
When is the product of a negative integer and a positive integer less than both of its factors?
Always
If you multiply two decimals less than 1 can you predict whether the product will be less or greater than either of the factors?
No, you cannot. The answer can be greater than (or less than) neither, one or both numbers.For example,-4.5 and -2.2 are both less than 1. Their product is 9.9 which is greater than both.-4.5 and 0.2 are both less than 1. Their product is 0.9 which is less greater than one and less than the other.0.5 and 0.2 are both less than 1. Their product is 0.01 which is less than both.
When you multiply 23 by a fraction less than one how does the product compare to the factors?
23 is a prime and so its only factors are 1 and 23. The product will be smaller than 23 but it is not possible to be certain how the product will compare with 1.
Is the product of mixed numbers greater or less than their factors?
Products will be greater unless your number set includes a number less than 1.
