Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #2271 : Mathematical Relationships And Basic Graphs

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

In order to subtract these two numbers, we will first need to take out a common factor of negative one.

We can then subtract the terms.

Borrow a one from the tens digit to subtract the ones digits.  The tens digit of 981 becomes a 7.

Borrow a one from the hundreds place to subtract the tens digits.  The hundreds place of 981 becomes an eight.

Subtract the tens digits.

Subtract the hundreds digits.

The expression becomes:  

The answer is:  

Example Question #2272 : Mathematical Relationships And Basic Graphs

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits with the carryover.

Add the hundreds digits with the carryover.

Combine the digits together to determine the answer.

The answer is:  

Example Question #71 : Elementary Operations

Evaluate:  

Possible Answers:

 

Correct answer:

 

Explanation:

Add the ones digits.

Add the tens digits with the carryover from 13, which is 1.

Add the hundreds digits.  There is no carryover.

Add the thousands places with the carryover.

Combine all digits.

The answer is:  

Example Question #72 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits with the carryover, which is the tens place of this number.

Add the hundreds places with the carryover.

Add the thousands digits.  If there are no thousands digit for a number, assume it's zero.

Combine all the numbers.

The answer is:  

Example Question #73 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The carryover is the tens digit of this number.

Add the tens digits with the carryover.

Add the hundreds digits with the new carryover.

The answer is:  

Example Question #74 : Elementary Operations

Find the sum of the numbers:  

Possible Answers:

Correct answer:

Explanation:

In order to solve, we can rearrange the numbers so that we are adding the two hundreds digit numbers.

Add the first two terms.

Add the ones digits.

Add the tens digits with the carryover.

Add the hundreds digits with the carryover.

The sum for the first two terms is:  

Subtract this term with the third term.

Borrow a one from the 3 of 1634 to subtract the ones digits.  The tens place becomes a 2.

Borrow a one from the 6 of 1634 to subtract the tens digits.  The hundreds place becomes a 5.

There is no need to borrow a one from the thousands place to subtract the hundreds digits.

Subtract the thousands places.

Combine the numbers.

The answer is:  

Example Question #75 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits.

Add the hundreds digits with the carryover from the previous calculation, 1.

Repeat the process for the thousands digits.  The thousands digit of 982 is zero.

Combine the ones digits from each calculation.

The answer is:  

Example Question #76 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits.

Add the hundreds digits with the carryover, 1.

Add the thousands digits with the carryover.

The answer is:  

Example Question #77 : Elementary Operations

Subtract the numbers:  

Possible Answers:

Correct answer:

Explanation:

Subtract the ones digits.

Borrow a one from the hundreds digits in order to subtract the tens digits.  The hundreds digit of 418 becomes a zero.

Subtract the tens digits.  

The answer is:  

Example Question #78 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The carryover is the tens digit.

Add the tens places with the carryover.

There is no carryover.  Add the hundreds digits.

The answer is:  

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