Both statements are true.
Work Step by Step
Multiplication of whole numbers can also be written as repeated addition. For example, multiplying a number by 2 is the same as adding that number to itself. Multiplying by 3 is the same as adding the number together 3 times. Since adding two numbers always results in a result that is larger than either of the two numbers, multiplying whole numbers also gives a result that is larger than either of the two numbers, Multiplying by a proper fraction is a way of dividing a number into smaller (fractional) parts. If x and y are both proper fractions, multiplying x times y can be seen as dividing x into the smaller parts represented by y or, because of the commutative property of multiplication, can be seen as dividing y into the smaller parts represented by x. For this reason the product of multiplying two proper fractions will be smaller than either of the numbers being multiplied.