Why is it more difficult to use repeated addition when multiplying two mixed numbers than it is to use repeated addition when you are multiplying a mixed number by a whole number?

Respuesta :

The reason it is more difficult to use repeated addition when multiplying two mixed numbers when compared to multiplying a mixed number and a whole number is because when you are multiplying a mixed number by a whole number, you have a whole number of groups of the mixed number. Ex: 1 1/2 x 3 would be 3 groups of 1 1/2, so
1 1/2 + 1 1/2 + 1 1/2.

If this were 1 1/2 x 2 1/2, you have 2 whole groups of 1 1/2, but then you would need to represent 1/2 group which requires multiplying or dividing first.

The reason why it is more difficult to use repeated addition when multiplying two mixed numbers than it is to use repeated addition when you are multiplying a mixed number by a whole number is:

  • There is a whole number of groups of the mixed number. Ex: 1 1/2 x 3 would be 3 groups of 1 1/2, so 1 1/2 + 1 1/2 + 1 1/2.

What is Multiplication?

This refers to the mathematical operation that involves to find the product of a set of numbers.

What is Mixed Number?

This refers to the type of number that is made up of a whole number and a proper fraction, for example,2 [tex]1/4[/tex].

With this in mind, if we have mixed numbers like  1 1/2 x 2 1/2, and we were to use repeated addition to multiply them, we would have 2 whole groups of 1 1/2, but then we would need to represent 1/2 group which requires multiplying or dividing first.

Read more about multiplication here:
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