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If the fractions are both proper fractions ... equivalent to less than 1 ... then
that's always true ... the product is always less than either factor.
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∙ 11y ago
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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.
When is the product of two fractions greater than its factors?
That only happens if they're both improper fractions, i.e. greater than ' 1 '.
What do you know about the product if one of the factors is less than one?
The product will be less than the other factor.
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 you multiply a whole number by a fraction is the product always less than the original whole number?
A number multiplied by 1 is equal to the original number. So: For fractions where the numerator (top) is LESS than the deonominator (bottom), the product will be LESS than the original number, because the fraction has a value of LESS than 1. For fractions where the numerator is MORE than the denominator, the product will be MORE than the original number because the fraction has a value of MORE than 1. For fractions where the numerator and denominator are the same, the product will be the same as the original number because the fraction has a value equal to 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.
When is the product of two fractions greater than its factors?
That only happens if they're both improper fractions, i.e. greater than ' 1 '.
What do you know about the product if one of the factors is less than one?
The product will be less than the other factor.
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.
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.
When two fractions less than one are multiplied the product is sometimes greater than 1?
Certainly. -31/2 and -41/2 are both less than 1 and their product is 15.75
When is the product of 2 fractions less than its factors?
The concept of factors is appropriate only for integers. In the case of fractions, every non-zero number is a factor of any number. [For example, 1/5 is a factor of 3/4: 1/5 goes into 3/4 exactly 3 3/4 times.] The product of two number is less than either number if both of them are in the interval [0, 1) or if one of them is negative and the other is greater than 1.
When you multiply a whole number by a fraction is the product always less than the original whole number?
A number multiplied by 1 is equal to the original number. So: For fractions where the numerator (top) is LESS than the deonominator (bottom), the product will be LESS than the original number, because the fraction has a value of LESS than 1. For fractions where the numerator is MORE than the denominator, the product will be MORE than the original number because the fraction has a value of MORE than 1. For fractions where the numerator and denominator are the same, the product will be the same as the original number because the fraction has a value equal to 1.
Why is the product of two proper fractions less than either of the fractions?
A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.
