In some cases the Distributive Property of Multiplication over Addition or Distributive

Property of Multiplication over Subtraction can be used to obtain an answer quickly. Represent the following operations using one of the distributive properties and also give the answer.

a) 801 ? 30 + 4 ? 30

b) 65 ? 20 – 5 ? 20

you are correct that 12.5555... is a rational number equal to 113/9, but how did you know that? Which characteristic exactly indicates that 12.5555... can be written as a fraction?

To solve these problems using the Distributive Property of Multiplication over Addition or Subtraction, we can apply the property by multiplying each number separately and then adding or subtracting the results. Let's go through each problem:

a) 801 × 30 + 4 × 30

First, we can multiply 801 by 30 and 4 by 30 separately:

801 × 30 = 24,030
4 × 30 = 120

Now, we can add the results:

24,030 + 120 = 24,150

Therefore, the answer is 24,150.

b) 65 × 20 - 5 × 20

Similarly, we can multiply 65 by 20 and 5 by 20 separately:

65 × 20 = 1,300
5 × 20 = 100

Now, we can subtract the results:

1,300 - 100 = 1,200

Therefore, the answer is 1,200.

Using the Distributive Property of Multiplication over Addition or Subtraction can make calculations quicker and easier by breaking them down into smaller steps.