Pre-Algebra : Pre-Algebra
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #176 : Operations
Solve:
Since 
Example Question #177 : Operations
Solve:
We just subtract normally. Answer is 
Example Question #51 : Addition And Subtraction
Solve:
When two minus signs meet, it becomes a plus sign. We add normally. Answer is 
Example Question #52 : Addition And Subtraction
Solve:
When we have two negative numbers present, we treat as an addition problem but add a minus sign in the end. Answer is 
Example Question #51 : Addition And Subtraction
Write solution as an improper fraction.
When adding or subtracting fractions, you must find the common denominator. This is best done by finding the least common multiple of the denominators, in this case 5 and 3. What is the lowest number that is divisible by both 5 and 3? Often, the easiest solution is to multiply the denominators together. This works most often with single digit numbers. Anything larger and you will have to find the least common multiple another way.
The LCM of 5 and 3 is 15 (5 x 3). Now you know that both fractions must have 15 on the bottom. Now, to convert 4/5 to ?/15, you must recognize how many times 5 goes into 15 (3), and multiply the numerator by that number. Therefore:
Do the same with the other side.
Now that the denominators match, all that's left is to add the numerators together.
This solution is already an improper fraction (the numerator is larger than the denominator), therefore you may leave the fraction as is.
Example Question #1191 : Pre Algebra
Express in degrees: 
Since 
Example Question #2 : Multiplication And Division
Suppose you know the values of 
In which order would you carry out the four operations in the expression?
Subtract, add, multiply, divide
Add, subtract, multiply, divide
Multiply, subtract, add, divide
Multiply, add, subtract, divide
Divide, multiply, subtract, add
Multiply, subtract, add, divide
A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.
In summary: Multiply, subtract, add, divide
Example Question #182 : Operations And Properties
Simplify the following as far as possible:
If we use the foil method we get the following:
First:
Inner:
Outer:
Last:
If that is simplified we're left wiht
Example Question #3 : Multiplication And Division
Simplify:
The whole operation is squared, so to better understand how to solve it it can be rewritten as:
Using order of operations we get the following:
First:
Inner:
Outer:
Last:
When this is simplified we have
Example Question #1 : Multiplication And Division
Simplify:
The equation can be rewritten as 
First the foil method should be used, leaving us with:
Then the 2 can be distributed to each of the factors inside the parentheses. Leaving the solution:
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