Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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

Possible Answers:

Correct answer:

Explanation:

Two minus signs become a plus sign. It's now an addition problem. Since  is greater than  and is negative, our answer is negative.

We treat as a normal subtraction.

Answer is 

Example Question #11 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

Another way to look at this problem is to start at negative seven on a number line and move to the left three places.

Answer is .

Example Question #5 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Possible Answers:

Correct answer:

Explanation:

When multiplying a negative number and a positive number, our answer is negative.

Multiply normally.

Answer is .

Example Question #6 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Possible Answers:

Correct answer:

Explanation:

When multiplying two negative numbers, our answer is positive.

Multiply normally. First multiply two by eight. Then multiply four and one.

         

Next, place a zero in the ones digit spot and multiply one by two followed by multiplying one by one.

         

       

From here, add the two products together.

Answer is .

Example Question #273 : Operations

Possible Answers:

Correct answer:

Explanation:

We count the number of negative numbers. Any odd amount of negative numbers, our answer will be negative. Three is odd so our answer is negative. We work from left to right.

Now our expression becomes

Answer is .

Example Question #3 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Possible Answers:

Correct answer:

Explanation:

When dividing a negative number and a positive number, our answer is negative. Divide normally.

Answer is .

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

Possible Answers:

Correct answer:

Explanation:

When dividing two negative numbers, our answer is positive. Divide normally.

Answer is .

Example Question #274 : Operations

Possible Answers:

Correct answer:

Explanation:

We count the number of negative numbers. Any odd amount of negative numbers, our answer will be negative. Two is even so our answer is positive. Work from left to right.

Dividing the first two terms,

now the expression becomes

.

Answer is .

Example Question #275 : Operations

Possible Answers:

Correct answer:

Explanation:

When subtracting negative numbers, the two negative signs transform into an addition sign. Rewrite the question as follows to solve:

To make the next step even easier, you may switch the position of each number in the sequence (only apply this to addition and subtraction problems):

As you can see, rewriting the question this way will alert you that the answer should be negative (since you are subtracting a bigger number from a smaller number). One last step to make solving this question even easier is to rewrite the question like this:

Example Question #271 : Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When a plus and minus sign meet, we have a minus sign. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. The answer is .

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