# SAT Math : How to multiply negative numbers

## Example Questions

### Example Question #11 : Integers

If  is a positive number, and  is also a positive number, what is a possible value for ?

Explanation:

Because is positive,  must be negative since the product of two negative numbers is positive.

Because  is also positive, must also be negative in order to produce a prositive product.

To check you answer, you can try plugging in any negative number for .

### Example Question #1 : Negative Numbers

Multiply the following negative numbers: .

Explanation:

When two negative numbers are multiplied by each other, the result is a positive number.

When a negative and a nonnegative number are multiplied with each other, the result is a negative number.

Therefore, since  and  are negative numbers, the product must be positive.

Therefore, the answer is positive .

### Example Question #2 : Negative Numbers

Multiply:

Explanation:

Simplify the expression term by term.

A negative number multiplied by a negative number gives a positive number.

A negative number multiplied by a positive number gives a negative number.

### Example Question #3 : Negative Numbers

Multiply:

Explanation:

Multiply the first two terms.  A negative number times another negative will result in a positive number.

Multiply 27 with negative 2.  A positive number times a negative number will result in a negative number.

### Example Question #1 : How To Multiply Negative Numbers

Solve the following equation:

Explanation:

If there are two negative signs, then the answer will be positive. If there were only one negative sign, the answer will be negative.

### Example Question #2 : How To Multiply Negative Numbers

Simplify the following expression: