Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #25 : Multiplication And Division

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying with a positive number and a negative numberr, our answer is negative. The product is .

Example Question #31 : Multiplication And Division

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying with two negative numbers, our answer becomes positive. THe product is .

Example Question #32 : Multiplication And Division

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing with two positive numbers, our answer is positive. We divide normally. Answer is .

Example Question #33 : Multiplication And Division

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing a positive number and a negative number, our answer is negative. The quotient is .

Example Question #34 : Multiplication And Division

Solve:

Possible Answers:

Correct answer:

Explanation:

When two negative numbers are being divided, our answer is positive. The quotient is .

Example Question #35 : Multiplication And Division

Evaluate the following expression:

Possible Answers:

Correct answer:

Explanation:

Evaluate the following expression:

Let's begin by doing the portion within the parentheses:

Next, let's do our last step

We can double check this by multiplying:

So our answer is indeed, 36.

Example Question #35 : Multiplication And Division

Reduce the fraction .

Possible Answers:

Correct answer:

Explanation:

To reduce any fraction, you must find the greatest common factor (GCF) of both the numerator and denominator. In this case, the biggest number that can be divided into both 18 and 24 evenly is 6. Divide both 18 and 24 by 6 to solve.

The solution is .

Example Question #211 : Operations And Properties

Solve:

Possible Answers:

Correct answer:

Explanation:

Example Question #1 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

The problem indicates that the result is  units more negative than , which is .

Example Question #212 : Operations And Properties

Evaluate   for .

Possible Answers:

Correct answer:

Explanation:

Substitute 8 for  in the expression and evaluate, paying attention to the order of operations:

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