Negative Numbers - Pre-Algebra

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

Answer is .

When multiplying with a negative number, our answer is negative.

Answer is

When multiplying with two negative numbers, our answer is positive.

Answer is

When there are odd amount of negative numbers, the answer is negative when multiplied. Since three is odd, our answer is negative. We multiply from left to right.

Answer is .

When dividing with a negative number, our answer is negative.

Answer is .

When dividing with two negative numbers, our answer is positive.

Answer is

When dividing with an odd amount of negative values, our answer is negative. Since two is not odd, our answer will be positive. We divide from left to right.

Answer is .

When dividing two negative numbers, the answer is positive. Then divide normally. Answer is .

To make as small as possible, let be as small as possible , and subtract the largest value of possible :

The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the positive number here) affixed:

Subtract vertically by aligning the decimal points, making sure you append the 3.2 with a placeholder zero:

This is the correct choice.

The problem indicates that the result is units more negative than , which is .

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

Substitute 8 for in the expression and evaluate, paying attention to the order of operations:

Begin by isolating your variable.

Subtract from both sides:

, or

Next, subtract from both sides:

, or

Then, divide both sides by :

Recall that division of a negative by a negative gives you a positive, therefore:

or

To solve this problem, you need to get your variable isolated on one side of the equation:

Taking this step will elminate the on the side with :

Now divide by to solve for :

The important step here is to be able to add the negative numbers. When you add negative numbers, they create lower negative numbers (if you prefer to think about it another way, you can think of adding negative numbers as subtracting one of the negative numbers from the other).

To solve this equation, you need to isolate the variable on one side. We can accomplish this by dividing by on both sides:

Anytime you divide, if the signs are the same (i.e. two positive, or two negative), you'll get a positive result. If the signs are opposites (i.e. one positive, one negative) then you get a negative.

Both of the numbers here are negative, so we will have a positive result:

To solve, you need to isolate the variable. We first subtract then divide by :

When dividing, if the signs of the numbers are the same (i.e. both positive, or both negative), you yield a positive result. If the signs of the numbers are opposites (i.e. one of each), then you yield a negative result.

Therefore:

First, since we are multiplying a negative value with a positive value, we need to realize the product is going to be negative. Next, we can multiply the values.

Since the answer is negative, the answer is .