Algebra 1 : Real Numbers
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Example Question #131 : Integer Operations
The Venn diagram depicts the number of students taking Spanish and Japanese classes. How many students in total are taking Japanese class?
There are 48 students taking only Japanese and 15 students taking both Japanese and Spanish. The total number taking Japanese classes is the sum of these two groups.
Example Question #6 : How To Add Integers
Subtract:
This is essentially the following expression after translation:
Now add the real parts together for a sum of 
Example Question #7 : How To Add Integers
Multiply:
Answer must be in standard form.
The first step is to distribute which gives us:
which is in standard form.
Example Question #131 : Real Numbers
Example Question #1 : Complex Numbers
Add:
When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.
Adding the real parts gives 
Example Question #4 : How To Add Integers
Solve: 
To solve 
The ones digit is 4. Since 14 is ten or greater, carry the tens digit to the next number.
Add the tens digit with the one carried over.
The tens digit is 1. Since 11 is ten or greater, carry the tens digit to the next number. There are no hundreds digit with 98. Add both the thousands and hundreds digit to the carry over.
Combine this with the tens and ones digits.
The answer is:
Example Question #132 : Real Numbers
Solve:
Add the ones digit.
Carry over the 1 since 11 is ten or greater, and then add the tens digit with the carryover.
Repeat the process for the hundreds digit with the carry over.
Combine all the digits.
The answer is 
Example Question #12 : How To Add Integers
Find the sum of 
Since we are adding two negative numbers, the sign of the answer becomes negative. The overall answer is negative; however, we will treat this problem as a normal addition.
The sum is 
Therefore,
Example Question #131 : Real Numbers
Find the sum of 
Since there are negative numbers, we compare their values without the sign. 
The difference and our final answer is 
Therefore, 
Example Question #132 : Integer Operations
What is the sum of the integers 
Since there are no negative numbers, we will simply add as normal.
We get an answer of
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