Pre-Algebra : Operations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #1 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Possible Answers:

Correct answer:

Explanation:

When two negative numbers are divided, the answer is positive. Divide normaly. Answer is .

Example Question #2 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Possible Answers:

Correct answer:

Explanation:

When a positive number and a negative number is divided, the answer is negative. Just divide normally. Answer is .

Example Question #41 : Negative Numbers

Possible Answers:

Correct answer:

Explanation:

There are three negative numbers. If there is an odd number of negative numbers being divided, our answer is negative. Since three is odd, our answer is negative. We divide from left to right. Answer is .

Example Question #42 : Negative Numbers

Possible Answers:

Correct answer:

Explanation:

There are three negative numbers. If there is an odd number of negative numbers being multiplied, our answer is negative. Since  is odd, our answer is negative. We multiply from left to right. Answer is .

Example Question #1 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Subtract:  

Possible Answers:

Correct answer:

Explanation:

Eliminate the double negatives first.  

Double negatives will result in a positive sign.

Simplify the terms.

Example Question #263 : Operations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to evaluate this expression, first square the terms inside the parentheses.

Multiply the terms inside the parentheses.

Simplify.

Example Question #5 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When a plus and minus sign meet, we have a minus sign.

Since  is greater than  and is negative, our answer is negative.

We treat as a normal subtraction.

Answer is .

Example Question #264 : Operations

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is positive, our answer is positive.

We treat as a normal subtraction.

.

Another way to look at this problem is looking at the number line and starting from negative nine move to the right twelve spaces.

 

Answer is .

Example Question #264 : Operations

Possible Answers:

Correct answer:

Explanation:

When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

 

Add the ones digits together:

Add the tens digits together:

Combine the ones and tens digit to get final answer.

Answer is .

Example Question #6 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Possible Answers:

Correct answer:

Explanation:

Two minus signs become a plus sign. It's now an addition problem.

Add the ones digits together: 

Add the tens digits together: 

Combine the ones and tens digit to get final answer.

Answer is .

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