Question

Describe how the Commutative and Associative Properties of Addition can make adding mixed numbers easier.

Answer 1

Because both properties just switch around, and you get the same answer

Answer 2

Answer:

We see adding mixed number is easier by using the Commutative and Associative Properties of Addition.

Step-by-step explanation:

We have to show  how the Commutative and Associative Properties of Addition can make adding mixed numbers easier.

For given numbers a , b and c , we have,

Commutative property of addition:

$a+b=b+a$

Associative property of addition,

$a+(b+c)=(a+b)+c$

Let us show it by using example,

Consider the addition of numbers having fractions,

$\frac{2}{3}+(2+\frac{4}{3})$

it is easy to find the sum by first combining fraction term and then adding 2 to it.

We first apply commutative property,

$\frac{2}{3}+(2+\frac{4}{3})=\frac{2}{3}+(\frac{4}{3}+2)$

Now we apply associative property,

$\frac{2}{3}+(\frac{4}{3}+2)=(\frac{2}{3}+\frac{4}{3})+2$

On solving , we get,

$(\frac{2}{3}+\frac{4}{3})+2=\frac{2+4}{3}+2=\frac{6}{3}+2$

Solving we get,

$\frac{6}{3}+2=2+2=4$

We see adding mixed number is easier by using the Commutative and Associative Properties of Addition.