Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #21 : Negative Numbers

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Correct answer:

Explanation:

Let's focus on the exponent. . Remember a value raised to something means that value is multiplied by that power. The negative is applied after the math is done. 

Example Question #21 : Negative Numbers

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Correct answer:

Explanation:

When we add a negative number, the sign turns negative. Since we are adding two negative numbers, we treat this as an addition problem and add a minus sign in the end. 

Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

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Correct answer:

Explanation:

Let's work from left to right since it's only multiplication and division. Since there is only one negative number, the product of  is negative which is . Now we have . Two negative numbers in a  division problem makes the answer positive. 

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

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

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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 #321 : The Number System

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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 #241 : Operations

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

Solve:

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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:

 

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

Solve:

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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

 

 

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