When you multiply two decimals that are both less than 1, the product will always be less than either of the factors. This is because each factor represents a fraction of a whole, and multiplying these fractions results in an even smaller fraction. For example, multiplying 0.5 and 0.3 yields 0.15, which is less than both 0.5 and 0.3. Thus, the product is guaranteed to be less than either factor.
Yes.
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.
0.1 x 0.2
because you multiplying by 9
The factors are greater than the product.
Yes.
when the numbers are between 0 and 1
The product is less than either factor.
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.
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.
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.
If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.
0.1 x 0.2
because you multiplying by 9
The product will be less than the other factor.
This is a clever question. I would say: "Always". To be more precise: The product is never greater than either factor, and if neither factor is ' 1 ', then the product is always less than both.