Algebra 1 : How to add integers

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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 #21 : How To Add Integers

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 #22 : How To Add Integers

What is the following sum:

Possible Answers:

Correct answer:

Explanation:

We will convert everything to fractions:

Example Question #21 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

This is just a simple addition problem. The sum of  and  is .

Example Question #22 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

This is just a simple addition problem. The sum of  and  is .

Example Question #23 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

There is a negative sign present. When that happens, we compare the numbers. Since  is greater than  and is positive, our answer is positive. We treat the problem as a subtraction problem. The answer is .

Example Question #24 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

There is a negative sign present. When that happens, we compare the numbers. Since  is greater than  and is negative, our answer is negative. We treat the problem as a subtraction problem. The answer is .

Example Question #24 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

There is a negative sign present. When that happens, we compare the numbers.  is seen as both a positive and negative number. This means the value are the same but will cancel out to give us an answer of .

Example Question #25 : How To Add Integers

Solve.

Possible Answers:

Correct answer:

Explanation:

When a plus and minus are together, the sign changes to negative. When adding two negative numbers, we treat as addition but keep the minus sign in the end. The answer is .

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