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Pre-Algebra : Negative Numbers

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Example Questions

Example Question #21 : Negative Numbers

-(9)^2

Possible Answers:

Correct answer:

Explanation:

Let's focus on the exponent. -(9)^2=-(9*9)=-81 . Remember a value raised to something means that value is multiplied by that power. The negative is applied after the math is done.

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

-4+(-9)

Possible Answers:

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. -4+(-9)=-4-9=-13 .

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

$-9*8\div-2$

Possible Answers:

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 -9*8 is negative which is . Now we have $-72\div-2$ . Two negative numbers in a division problem makes the answer positive. $-72\div-2=36$

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

18-76

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. 76-18=56 . Because our answer should be negative, the correct answer is .

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

-(4*7)

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 4*7 is . Because there is a negative sign outside the parentheses, we need to add it to our answer which now becomes -28.

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

-2*(-3)^2

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parentheses comes first then multiplication. (-3)^2=-3*-3 . We are multiplying two negatives which make a positive number, in this case . Next, we have -2*9=-18 since there is only one negative number, the answer is negative.

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

-2*-4(-3)^2

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parenthesis comes first then multiplication. (-3)^2=-3*-3 . We are multiplying two negatives which make a positive number, in this case . Next, we have just multiplication of -2, -4, 9 . Since there are two negative numbers and one positive number being multiplied, the answer is positive. -2*-4=8 and 8*9=72 .

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

Solve:

-10 + -56 =

Possible Answers:

Correct answer:

Explanation:

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

-10 + -56 =

$- 10 - \left ( 56\right ) = -66$

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Example Question #22 : Negative Numbers

Solve:

$-6 \times -4 \times -2 =$

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,

$-6 \times -4 \times -2 =$

$24 \times -2 = -48$

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

Solve:

10 - (-10) =

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

$\\10 - (-10) \\= 10+10\\=20$

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Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #21 : Negative Numbers

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

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

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

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

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

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

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

Example Question #22 : Negative Numbers

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

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