Operations and Properties

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Pre-Algebra › Operations and Properties

Questions 1 - 10
1

Explanation

The numbers are positive. We just divide.

Answer is .

2

What expression simplifies to

Explanation

When simplified using the FOIL method results in the following:

First:

Inner:

Outer:

Last:

When the 2 is distributed and the expression simplified we are left with

3

Simplify the following as far as possible:

Explanation

If we use the foil method we get the following:
First:

Inner:

Outer:

Last:

If that is simplified we're left wiht

4

Explanation

There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is .

5

Explanation

We have two positive numbers and one negative number. We work from left to right. When a positive number is divided by a negative number, the answer is a negative number. The same applied when divided by a positive number.

Now the expression becomes,

.

Answer is .

6

Explanation

When facing different operations, we will work from left to right since in PEMDAS, multiplication and division has no priority. We have two negative numbers and one positive number. We will get a negative number when a positive number and negative number multiply.

That answer is

Then, when two negative numbers are divided, we get a positive number.

That answer is which is our final answer.

7

Which expression simplifies to

Explanation

results in when simplifying with the foil method as follows:
First:

Inner:

Outer:

Last:

8

Explanation

We have one positive and one negative number.

When multipled, our answer is negative.

The product is .

9

What expression simplifies to

Explanation

When simplified using the FOIL method results in the following:

First:

Inner:

Outer:

Last:

When the 2 is distributed and the expression simplified we are left with

10

Explanation

We have two negative numbers. When multiplied, the answer is positive.

The product is .

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