Algebra 1 : Integer Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #141 : Real Numbers

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. Make sure to line up all the ones digit in place and the tens digit.

We get an answer of 

Example Question #141 : 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. Remember to line up the tens and ones digits.

We get an answer of .

Example Question #143 : Real Numbers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

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

We will treat this problem as normal subtraction.

 The difference and our final answer is .

Therefore, 

Example Question #13 : How To Add Integers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

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

We will treat this problem as normal subtraction.

The difference is , but since we want a negative answer our final answer is .

Therefore, .

Example Question #145 : Real Numbers

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 normal addition.

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

Therefore,.

Example Question #146 : 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 negative. This means the answer is negative and we will treat this problem as normal subtraction.

The difference is , but since we want a negative answer our final answer is .

Therefore, .

Example Question #147 : Real Numbers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

Let's add the left side first.

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

The difference is , but since we want a positive answer our final answer is .

Therefore, .

Example Question #148 : Real Numbers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right. Since there are negative numbers, we compare their values without the sign.  is greater than  and is positive. This means the answer to  is positive. We will treat this section of the problem as normal subtraction.

The difference and answer is .

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

The difference and final answer is .

Therefore, .

Example Question #149 : Real Numbers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right. Since we are adding two negative numbers, the sign becomes negative and the overall answer is negative. We will then treat this section of problem as normal addition.

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

Now we add to a positive .

The final sum is 

Therefore, .

Example Question #150 : Real Numbers

What is the following sum:

Possible Answers:

Correct answer:

Explanation:

We will convert everything to fractions:

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