Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #251 : Operations

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 #252 : Operations

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 #4 : 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 subtraction problem. Answer is .

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, the sign is negative. The difference is .

Example Question #6 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

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 #4 : 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 #253 : Operations

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 .

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 two minus signs meet, the sign becomes positive. Since  is greater than  and is negative, our answer is negative. We treat as a subtraction problem. Answer is .

Example Question #3 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Possible Answers:

Correct answer:

Explanation:

When a positive number and a negative number is multiplied, the answer is negative. Just multiply normally. Answer is .

Example Question #4 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Possible Answers:

Correct answer:

Explanation:

When two negative numbers are multiplied, the answer is positive. Multiply normaly. Answer is .

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