Pre-Algebra : Negative Numbers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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Example Question #81 : The Number System

Solve:

Possible Answers:

Correct answer:

Explanation:

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

Example Question #91 : The Number System

Solve:

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. .  Now we have  is greater than  and it's negative so our answer is negative and we treat this like a subtraction problem. , but since our answer should be negative our answer is 

Example Question #92 : Negative Numbers

Solve:

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  as , which is .

Example Question #91 : Negative Numbers

Solve:

  

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Correct answer:

Explanation:

Solve by first combining signs and eliminate the parentheses.

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

Example Question #93 : Negative Numbers

Solve:

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.

 

Since the answer is negative, the answer is .

Example Question #91 : Negative Numbers

Solve:

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  or 

Example Question #10 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve:

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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 

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

Solve:  

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.

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

Solve:

 

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.

Evaluate the quantities inside the parentheses first.

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