Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

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

Subtract:  

Possible Answers:

 

Correct answer:

 

Explanation:

Distribute the negative sign through the parentheses.  Double negatives equal a positive.

The answer is .

Example Question #31 : Negative Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

To evaluate this, first simplify the innermost parentheses.

Distribute the negative two in front to term inside the parentheses.

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

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.  

Next, simplify by adding and subtracting each component from left to right.

Example Question #32 : Negative Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Use the order of operations to solve this.  A negative number that is not in parentheses squared will remain negative.

Example Question #31 : Negative Numbers

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Simplify the numerator and the denominator first.

Divide the terms inside the parentheses. 

Distribute the negative sign.  Double negatives will result in a positive sign.

Example Question #41 : The Number System

Possible Answers:

Correct answer:

Explanation:

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

Example Question #8 : 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, the sign is negative. The difference is .

Example Question #41 : The Number System

Possible Answers:

Correct answer:

Explanation:

When a plus and a minus meet, the sign is negative. When adding two negatie numbers, we treat as addition and add the minus sign in the end. Answer is .

Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Possible Answers:

Correct answer:

Explanation:

When minus signs meet, the sign becomes positive. This becomes an addition problem. Answer is .

Example Question #34 : Negative Numbers

Possible Answers:

Correct answer:

Explanation:

This is also the sum of two negative numbers. In this case, we add the numbers and then add a minus sign in the end. Answer is .

Learning Tools by Varsity Tutors