Pre-Algebra : Operations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

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

Example Question #6 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

We need to take care of the parentheses first because of PEMDAS. Parentheses has priority over everything. The product is  is . Because there is a negative sign outside the parentheses, we need to add it to our answer which now becomes 

Example Question #1 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parentheses comes first then multiplication. . We are multiplying two negatives which make a positive number, in this case . Next, we have  since there is only one negative number, the answer is negative.

Example Question #8 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parenthesis comes first then multiplication. . We are multiplying two negatives which make a positive number, in this case . Next, we have just multiplication of . Since there are two negative numbers and one positive number being multiplied, the answer is positive.  and 

Example Question #3 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

Remember that adding a negative number is the same as subtracting that same number if it were positive. 

Example Question #22 : Negative Numbers

Solve:

 

Possible Answers:

Correct answer:

Explanation:

When you multiply a negative by another negative, the answer will be positive. If you multiply a third negative number, the answer becomes negative again. The rule is:

1. multiplication of an EVEN number of negative numbers = positive number

2. multiplication of an ODD number of a negative numbers = negative number

Therefore,

 

 

Example Question #2 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Solve:

Possible Answers:

Correct answer:

Explanation:

Remember that subtracting a negative number is just like adding the positive of that number, because you move to the right (more positive) on the number line. Therefore

 

 

Example Question #3 : 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 #244 : Operations

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.

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