Algebra 1 : Integer Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : Real Numbers

Simplify.

Possible Answers:

Correct answer:

Explanation:

This is a complex subtraction problem involving positive and negative numbers.

As indicated by the order of operations, we will work from the left to the right. 

Subtracting a negative number is the same as adding a positive number. Rewrite.

Next we finish the subtraction. 

The answer is .

Example Question #42 : Real Numbers

Simplify.

Possible Answers:

Correct answer:

Explanation:

This is a complex subtraction problem involving positive and negative numbers.

As indicated by the order of operations, we will work from the left to the right. 

Subtracting a negative number is the same as adding a positive number. Rewrite.

Next we finish the subtraction. 

Subtracting a negative number is the same as adding a positive number. Rewrite.

The answer is .

Example Question #41 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

We have two positive numbers being subtracted. Subtract normally. Answer is .

Example Question #42 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

When a minus sign and a minus sign meet, it becomes an addition problem. Add normally. Answer is .

Example Question #43 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

When a minus sign and a minus sign meet, it becomes an addition problem. Add normally. Answer is .

Example Question #44 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

When a minus sign and a minus sign meet, it becomes an addition problem. Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction. Answer is .

Example Question #45 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

This is the same as adding two negative numbers. When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Answer is .

Example Question #46 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

This is the same as adding two negative numbers. When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Answer is .

Example Question #22 : How To Subtract Integers

Subtract:  

Possible Answers:

Correct answer:

Explanation:

Subtract the ones digits.

Because the tens digit of  is less than the tens digit of , we cannot subtract the tens digit.  We need to borrow a one from the hundreds digit of .  The hundreds place becomes a zero.

Subtract:  

The answer is:  

Example Question #22 : How To Subtract Integers

Subtract:  

Possible Answers:

Correct answer:

Explanation:

The ones digits cannot be subtracted unless one is borrowed from the tens digt.

This becomes:

This is the ones digit of the final answer.

The tens digit of  becomes a .  We also cannot subtract a  with the  in , which means we will need to borrow a one form the hundreds digit of , which will become .

Subtract:  

This is the tens digit of the final answer.

Subtract the new hundreds digits.  

This is the hundreds digit.

The answer is:  

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