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Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #81 : The Number System

Solve:

5-(-8)

Possible Answers:

Correct answer:

Explanation:

When subtracting with a negative sign, it turns into addition. Now we have 5+8 . The answer is .

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

Solve:

-5+9-7

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right since it's only subtraction and addition. Since is greater than and it's positive our answer is positive, but we treat this like a subtraction problem because the is negative. 9-5=4 . Now we have 4-7 . is greater than and it's negative so our answer is negative and we treat this like a subtraction problem. 7-4=3 , but since our answer should be negative our answer is .

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Example Question #91 : Negative Numbers

Solve:

$(-8)\times(-12)$

Possible Answers:

Correct answer:

Explanation:

When multiplying two negative numbers, the negative signs cancel each other out, making for a positive solution. If only one number is negative, the solution will be negative.

Therefore we can rewrite $(-8)\times(-12)$ as $8\times12$ , which is .

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Example Question #3 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Solve:

-2+(-9)+(2-9)

Possible Answers:

Correct answer:

Explanation:

Solve by first combining signs and eliminate the parentheses.

A positive multiplied with a negative sign will give a negative sign.

-2+(-9)+(2-9) = -2-9+2-9 = -18

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Example Question #12 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-3\times4$

Possible Answers:

Correct answer:

Explanation:

First, since we are multiplying a negative value with a positive value, we need to realize the product is going to be negative. Next, we can multiply the values.

$3\times4=12$

Since the answer is negative, the answer is .

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Example Question #4 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve:

$-90\div-6$

Possible Answers:

Correct answer:

Explanation:

When dividing with two negative values, the answer becomes positive. Then we just divide by , which equals . The answer is +15 or .

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Example Question #9 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve:

$-18\div6$

Possible Answers:

Correct answer:

Explanation:

When dividing with negative numbers, we count the number of negative numbers. We have one so that means the answer is negative. So the quotient is .

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Example Question #491 : Grade 7

Solve:

$-3\left(\frac{-2-6}{-4}\right)$

Possible Answers:

Correct answer:

Explanation:

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Simplify the quantities inside the parentheses. Then multiply and distribute the coefficient in front.

$-3\left(\frac{-2-6}{-4}\right)$

$-3\left(\frac{-8}{-4}\right)$

-3(2)=-6

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Example Question #491 : Grade 7

Solve:

$\frac{-2(2+2)}{-2(-2-2)}$

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

Explanation:

When solving this problem remember our orders of operation, or PEMDAS.

Evaluate the quantities inside the parentheses first.

$\frac{-2(2+2)}{-2(-2-2)}$

$\frac{-2(4)}{-2(-4)}$

$\frac{-8}{8}=-1$

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Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #81 : The Number System

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

Example Question #91 : Negative Numbers

Example Question #3 : Add And Subtract Rational Numbers: Ccss.Math.Content.7.Ns.A.1d

Example Question #12 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #4 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Example Question #9 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Example Question #491 : Grade 7

Example Question #491 : Grade 7

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