# Pre-Algebra : Negative Numbers

## Example Questions

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

Subtract:

Explanation:

Distribute the negative sign through the parentheses.  Double negatives equal a positive.

### Example Question #31 : Negative Numbers

Solve:

Explanation:

To evaluate this, first simplify the innermost parentheses.

Distribute the negative two in front to term inside the parentheses.

### Example Question #1 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Evaluate:

Explanation:

Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.

Next, simplify by adding and subtracting each component from left to right.

### Example Question #32 : Negative Numbers

Solve:

Explanation:

Use the order of operations to solve this.  A negative number that is not in parentheses squared will remain negative.

### Example Question #31 : Negative Numbers

Simplify:

Explanation:

Simplify the numerator and the denominator first.

Divide the terms inside the parentheses.

Distribute the negative sign.  Double negatives will result in a positive sign.

### Example Question #41 : The Number System

Explanation:

Since  is greater than  and is positive, our answer is positive. We treat as a subtraction problem. Answer is .

### Example Question #8 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Explanation:

When a plus and minus sign meet, the sign is negative. The difference is .

Explanation:

### Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Explanation:

When minus signs meet, the sign becomes positive. This becomes an addition problem. Answer is .