Algebra II : Multiplication and Division

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #11 : Multiplication And Division

What is ?

Possible Answers:

Correct answer:

Explanation:

When multiplying with more than a single digit, focus on the ones digiit before the tens digit.  is . The  is written down but the  is carried over to the tens digit. Then we multiply  and  which is  but with the  that was carried over, we add it to the  which makes . Final answer is 

Example Question #12 : Multiplication And Division

What is ?

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS, the acronym which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to.

Multiplication comes before addition.

So multiply out  and  which is .

Then finally add that with  to get the final answer of 

Example Question #13 : Multiplication And Division

What is 

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS, the acronym that stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to when doing any arithmetic.

Division comes before subtraction.

So divide out  and  which is .

Then, subtract that with  to get the final answer of .

Example Question #14 : Multiplication And Division

What is ?

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS, the acronym that stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to when doing any arithmetic.

The parentheses go first so do what's inside the parentheses.

The sum of and  is .

Then we multiply that with  to get the final answer of 

Example Question #15 : Multiplication And Division

Possible Answers:

Correct answer:

Explanation:

This question is testing your knowledge of the order of operations.

Do the multiplication/division parts of the question first, then addition/subtraction (in this case, only subtraction).

Example Question #15 : Multiplication And Division

Solve:

 

Possible Answers:

Correct answer:

Explanation:

To simply , notice that there are variables that can be cancelled out.  

Another option is to multiply through the numerator and the denominator, and then reduce.

Remember when their are exponents in the numerator and denominator with the same base you subtract the denominator from the numerator.

Example Question #16 : Multiplication And Division

Solve .

Possible Answers:

Correct answer:

Explanation:

Following the order of operations, let's do all the parenthesis first.  Within the parenthesis, we still follow the order of operations, and complete the exponential before doing the addition:

Now we can go through and do all the multiplication and division. Remember, we can't divide through the addition signs, so we'll leave that for later.

Now we can do the addition/subtraction:

Because we're dealing with fractions, it would help if we simplified:

 

Example Question #17 : Multiplication And Division

Multiply the numbers:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first number with the ones digit of the second number.

Multiply the first number with the tens digit of the second number.

Add a zero to this number.

Add this number with the first number calculated.

The answer is:  

Example Question #18 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first number with the first digit of the second number.

Multiply the first number with the second digit of the second number, and then add a zero to the end of that number.

The number becomes:

Multiply the first number with the hundreds digit of the second number, and then add two zeros to the end of that number.

The number becomes:

Add the three numbers obtained.

The answer is:  

Example Question #19 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first number with the ones digit of the second number.

Multiply the first number with the tens digit of the second number, and then add a zero to the end of the number.

Add both numbers.

The answer is:  

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