Pre-Algebra : Negative Numbers
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Example Questions
Example Question #1 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3
Solve:
Example Question #1 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c
Solve:
The problem indicates that the result is 
Example Question #1 : Negative Numbers
Evaluate 
Substitute 8 for 
Example Question #2 : Negative Numbers
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.
Example Question #1 : Negative Numbers
Evaluate:
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.
Example Question #6 : Negative Numbers
If 
To make 
Example Question #7 : Negative Numbers
Solve for 
To solve this problem, you need to get your variable isolated on one side of the equation:
Taking this step will elminate the 
Now divide by 
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).
Example Question #1 : How To Divide Negative Numbers
Solve for 
Begin by isolating your variable.
Subtract 
Next, subtract 
Then, divide both sides by 
Recall that division of a negative by a negative gives you a positive, therefore:
Example Question #1 : Negative Numbers
Solve for 
To solve this equation, you need to isolate the variable on one side. We can accomplish this by dividing by 
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:
Example Question #9 : Negative Numbers
Solve for 
To solve, you need to isolate the variable. We first subtract 
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:
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