# Pre-Algebra : Negative Numbers

## Example Questions

### Example Question #61 : Negative Numbers

Explanation:

We count the number of negative numbers. Any odd amount of negative numbers, our answer will be negative. Two is even so our answer is positive. Work from left to right.

Dividing the first two terms,

now the expression becomes

.

### Example Question #62 : Negative Numbers

Explanation:

When subtracting negative numbers, the two negative signs transform into an addition sign. Rewrite the question as follows to solve:

To make the next step even easier, you may switch the position of each number in the sequence (only apply this to addition and subtraction problems):

As you can see, rewriting the question this way will alert you that the answer should be negative (since you are subtracting a bigger number from a smaller number). One last step to make solving this question even easier is to rewrite the question like this:

### Example Question #63 : Negative Numbers

Solve:

Explanation:

When a plus and minus sign meet, we have a minus sign. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. The answer is .

### Example Question #11 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Explanation:

Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction. The answer is .

Solve:

Explanation:

### Example Question #51 : The Number System

Solve:

Explanation:

Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. Answer is .

### Example Question #1 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Solve:

Explanation:

Two minus signs becomes a plus sign. Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction. Answer is .

### Example Question #71 : The Number System

Solve:

Explanation:

Two minus signs become a plus sign. This is just simple addition. Answer is .

### Example Question #1 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

Explanation:

When multiplying a negative number and a positive number, our answer is negative. Multiply normally. Answer is .

Solve: