Pre-Algebra : Multiplication and Division

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #11 : Multiplication And Division

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify the numerator and denominator by cancelling out common factors.  

Then follow suit and multiply the denominator with denominator and numerator with numerator.

Example Question #12 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digits together.

The ones digit of the final answer is .

Carry over the  to the next calculuation.

Multiply the  with the tens digit of the first number, and add the carryover .

The answer is:  

Example Question #13 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Eliminate the absolute value sign before proceeding to multiply all the terms.  

A value inside the absolute value will result into a positive value.

From here, first multiply , when doing so remember when a negative number is multiplied by a positive number the resulting product is negative.

Therefore we get,

.

Now we will need to multiply  with .

First multiply six with nine to get . Keep the four in the ones place and carry the five to the tens place. Now multply nine with three . Since we carried the five over we need to add . Combine this value with the value that was found for the ones spot to get, . Finally, place a negative sign in front of it to arrive at the final answer.

.

Example Question #14 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digits.

The  is the ones digit of the final answer. The  will be the carryover for the next calculation.

Multiply the tens digit of  with  with the carryover.

There are no further calculuations. Combine the numbers.

The answer is:  

Example Question #15 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digit of  with .

Multiply the tens digit of  with .

Since this number is 10 or greater, use this tens digit as the carry over for the next calculation.

Multiply the hundreds digit of  with  with the carry over.

Combine this number with the ones digit of the previous calculations.

The correct answer is:  

Example Question #11 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

The numbers are positive. We just multiply. Answer is 

Example Question #12 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is .

Example Question #13 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

We have one positive and one negative number.

When multipled, our answer is negative.

The product is .

Example Question #19 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

We have two negative numbers. When multiplied, the answer is positive.

          

   

        

The product is .

Example Question #20 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

We have two negative numbers and one positive number. We multiply from left to right. Two negative numbers multiplied make a positive number. Two positive numbers multiplied is also positive.

Now the expression becomes,

Answer is .

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