Pre-Algebra : Operations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #72 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing with more than two integers, we count the number of negative signs. Since there are three, that means our answer is going to be negative. We divide from left to right. Answer is .

Example Question #2 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve.

Possible Answers:

Correct answer:

Explanation:

Example Question #292 : Operations

Solve the following

Possible Answers:

Correct answer:

Explanation:

Let's refresh our memories about how regular multiplication works.

When you mulitply 2 positive integers (let's say a and b), you are combining groups of a.  For example:

  

           

You have 4 groups of 3, and you are adding them together to get 12.

 

We will do the same thing with negative integers.  

 

  

 

So, the solution is

 

Example Question #15 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction.

 is the answer. 

Example Question #16 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Answer is .

Example Question #17 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

Answer is  

Example Question #71 : The Number System

Possible Answers:

Correct answer:

Explanation:

 Two negative signs become a plus sign. This is now an addition problem.

Answer is 

Example Question #12 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Possible Answers:

Correct answer:

Explanation:

 Two negative signs become a plus sign. Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction.

Answer is 

Example Question #13 : 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. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Answer is .

Example Question #131 : The Number System

Possible Answers:

Correct answer:

Explanation:

 When multiplying with a negative number, our answer is negative.

Answer is 

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