Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

Example Question #132 : The Number System

Possible Answers:

Correct answer:

Explanation:

 When multiplying with two negative numbers, our answer is positive.

Answer is 

Example Question #301 : Operations

Possible Answers:

Correct answer:

Explanation:

 When there are odd amount of negative numbers, the answer is negative when multiplied. Since three is odd, our answer is negative. We multiply from left to right.

Answer is .

Example Question #6 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Possible Answers:

Correct answer:

Explanation:

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

Answer is .

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

Possible Answers:

Correct answer:

Explanation:

 When dividing with two negative numbers, our answer is positive.

Answer is 

Example Question #302 : Operations

Possible Answers:

Correct answer:

Explanation:

 When dividing with an odd amount of negative values, our answer is negative. Since two is not odd, our answer will be positive. We divide from left to right.

Answer is .

Example Question #18 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

When adding with negative values, the sign turns negative. So now we have . Since they have the same sign, we just treat it as an addition problem and add  and then insert the negative sign in front. The answer is 

Example Question #19 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

When dealing with negative numbers, let's see which number is greater.  is greater than  and is positive so the answer is positive. We treat this as a subtraction problem. 

Example Question #11 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Solve:

Possible Answers:

Correct answer:

Explanation:

When subtracting with a negative sign, it turns into addition. Now we have . The answer is 

Example Question #4 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve:

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right since it's only subtraction and addition. Since  is greater than  and it's positive our answer is positive, but we treat this like a subtraction problem because the  is negative. .  Now we have  is greater than  and it's negative so our answer is negative and we treat this like a subtraction problem. , but since our answer should be negative our answer is 

Example Question #91 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying two negative numbers, the negative signs cancel each other out, making for a positive solution. If only one number is negative, the solution will be negative.

Therefore we can rewrite  as , which is .

Learning Tools by Varsity Tutors