Algebra 1 : Integer Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #5 : How To Add Integers

The Venn diagram depicts the number of students taking Spanish and Japanese classes. How many students in total are taking Japanese class?

Question_4

Possible Answers:

Correct answer:

Explanation:

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 #63 : Imaginary Numbers

Subtract:

 

 

Possible Answers:

Correct answer:

Explanation:

This is essentially the following expression after translation:

Now add the real parts together for a sum of , and add the imaginary parts for a sum of .

Example Question #7 : How To Add Integers

Multiply:

Answer must be in standard form.

Possible Answers:

Correct answer:

Explanation:

 The first step is to distribute which gives us:

  

which is in standard form.

Example Question #1 : Adding And Subtracting Radicals

 

Possible Answers:

Correct answer:

Explanation:

 

 

 

Example Question #6 : How To Add Integers

Add:

Possible Answers:

Correct answer:

Explanation:

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 , and adding the imaginary parts gives .

 

Example Question #4 : How To Add Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve , first add the ones digit.

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: 

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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  and we add the negative sign in front to get a final answer of .

Therefore,.

Example Question #131 : Real Numbers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

Since there are negative numbers, we compare their values without the sign.  is greater than  and is positive. This means the answer is positive and we will treat this problem as normal subtraction.

The difference and our final answer is .

Therefore, .

Example Question #131 : Integer Operations

What is the sum of the integers  and ?

Possible Answers:

Correct answer:

Explanation:

Since there are no negative numbers, we will simply add as normal.

We get an answer of 

 

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