All Pre-Algebra Resources
Example Questions
Example Question #217 : Operations
Reduce the fraction .
To reduce any fraction, you must find the greatest common factor (GCF) of both the numerator and denominator. In this case, the biggest number that can be divided into both 18 and 24 evenly is 6. Divide both 18 and 24 by 6 to solve.
The solution is .
Example Question #1 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3
Solve:
Example Question #1231 : Pre Algebra
Solve:
The problem indicates that the result is units more negative than , which is .
Example Question #211 : Operations And Properties
Evaluate for .
Substitute 8 for in the expression and evaluate, paying attention to the order of operations:
Example Question #1 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b
is equal to which of the following?
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 #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b
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 #1232 : Pre Algebra
If and are integers such that and , what is the smallest possible value of ?
To make as small as possible, let be as small as possible , and subtract the largest value of possible :
Example Question #1233 : Pre Algebra
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 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).
Example Question #1 : How To Divide Negative Numbers
Solve for :
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
Example Question #134 : Arithmetic
Solve for :
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: