Multiplication and Division - Pre-Algebra
Card 0 of 20
Read the following problem but do not solve it.
Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?
Which of the following expressions must be evaluated in order to answer this question?
Read the following problem but do not solve it.
Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?
Which of the following expressions must be evaluated in order to answer this question?
There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is 
There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is
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Express in degrees: 
radians
Express in degrees:
Since 
, we can convert as follows:
Since
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Suppose you know the values of 
and 
, and you want to evaluate the expression:
In which order would you carry out the four operations in the expression?
Suppose you know the values of
In which order would you carry out the four operations in the expression?
A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.
In summary: Multiply, subtract, add, divide
A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.
In summary: Multiply, subtract, add, divide
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Beck has 5 pairs of the same style of shoe, called the "button up." Each shoe has 6 buttons. How many buttons are there on Becky's "button up" shoe collection?
Beck has 5 pairs of the same style of shoe, called the "button up." Each shoe has 6 buttons. How many buttons are there on Becky's "button up" shoe collection?
If Beck has 5 pairs of shoes, that means he has 10 shoes because there are 2 shoes in a pair.
Since each shoe has 6 buttons, that means that there are 60 buttons in the collection.
If Beck has 5 pairs of shoes, that means he has 10 shoes because there are 2 shoes in a pair.
Since each shoe has 6 buttons, that means that there are 60 buttons in the collection.
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Simplify the following as far as possible:
Simplify the following as far as possible:
If we use the foil method we get the following:
First:
Inner:
Outer: 
Last: 
If that is simplified we're left wiht 
If we use the foil method we get the following:
First:
Inner:
Outer:
Last:
If that is simplified we're left wiht
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Simplify:
Simplify:
The whole operation is squared, so to better understand how to solve it it can be rewritten as:
Using order of operations we get the following:
First: 
Inner: 
Outer: 
Last: 
When this is simplified we have
The whole operation is squared, so to better understand how to solve it it can be rewritten as:
Using order of operations we get the following:
First:
Inner:
Outer:
Last:
When this is simplified we have
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Simplify:
Simplify:
The equation can be rewritten as 
First the foil method should be used, leaving us with:
Then the 2 can be distributed to each of the factors inside the parentheses. Leaving the solution:
The equation can be rewritten as
First the foil method should be used, leaving us with:
Then the 2 can be distributed to each of the factors inside the parentheses. Leaving the solution:
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Which expression simplifies to
Which expression simplifies to
results in 
when simplifying with the foil method as follows:
First:
Inner: 
Outer: 
Last:
First:
Inner:
Outer:
Last:
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What expression simplifies to 
What expression simplifies to
When simplified using the FOIL method 
results in the following:
First: 
Inner: 
Outer: 
Last: 
When the 2 is distributed and the expression simplified we are left with
When simplified using the FOIL method
First:
Inner:
Outer:
Last:
When the 2 is distributed and the expression simplified we are left with
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A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?
A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?
The total sale price of the cars he sells will be
.
12% of $125,000 is
,
which is the salesman's commission.
The total sale price of the cars he sells will be
12% of $125,000 is
which is the salesman's commission.
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Reduce the fraction 
.
Reduce the fraction
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 
.
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
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Simplify:
Simplify:
Simplify the numerator and denominator by cancelling out common factors.
Then follow suit and multiply the denominator with denominator and numerator with numerator.
Simplify the numerator and denominator by cancelling out common factors.
Then follow suit and multiply the denominator with denominator and numerator with numerator.
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Multiply: 
Multiply:
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: 
Multiply the ones digits together.
The ones digit of the final answer is
Carry over the
Multiply the
The answer is:
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Multiply:
Multiply:
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.
.
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
Therefore we get,
Now we will need to multiply
First multiply six with nine to get
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Multiply: 
Multiply:
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: 
Multiply the ones digits.
The
Multiply the tens digit of
There are no further calculuations. Combine the numbers.
The answer is:
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Multiply: 
Multiply:
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: 
Multiply the ones digit of
Multiply the tens digit of
Since this number is 10 or greater, use this tens digit as the carry over for the next calculation.
Multiply the hundreds digit of
Combine this number with the ones digit of the previous calculations.
The correct answer is:
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The numbers are positive. We just multiply. Answer is 
.
The numbers are positive. We just multiply. Answer is
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We have one positive and one negative number.
When multipled, our answer is negative.
The product is 
.
We have one positive and one negative number.
When multipled, our answer is negative.
The product is
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We have two negative numbers. When multiplied, the answer is positive.
The product is 
.
We have two negative numbers. When multiplied, the answer is positive.
The product is
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There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is 
.
There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is
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