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Solve the following number sentence.
To successfully solve this question, the order of operations must be used.
There are 4 steps in the order of operations and they are as follows:
1. P - Solve all problems within a parentheses.
2. E - Solve any numbers that have an exponent.
3. MD - From the left side of the problem to the right side of the problem solve all Division and Multiplication.
4. AS - From the left side of the problem to the right side of the problem solve all Subtraction and Addition.
Based on the rules the first part of the problem to be solved is as it is in parentheses. The other parts of the problem remain the same and are re-written until their step is reached.
Next the exponent is to be solved. The exponent number in this problem is which means to multuply the base to itself
times.
Next looking from the left to the right of the problem there are no multiplication or division calculations to do so skip to the last step.
Finally, starting from the left side of the problem and moving to the right side of the problem each set of two numbers will be solved until the final answer is reached. Starting with then
and lastly
.
The final answer would be .
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Henry had $538.23 in his checking account at the bank before he went shopping. At the mall, he spent $43.91 at one store and $71.84 at another store. How much money does Henry have left in his bank account?
To find the difference, you must subtract. But first you must add the two amounts he spent at the mall:
Now subtract. Line up the numbers vertically. Remember to use the rules of borrowing to subtract.
Henry now has $422.48 in his bank account.
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Evaluate:
is the same as
.
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The total combined weight a 4 boxes is 25 lbs. Box A weighs 4 lbs, box B weighs 10 lbs, and box D weighs 6 lbs. How much does box C weigh?
To find the weight of box C, subtract the weight of the other three boxes from the total weight.
Box C = Total - Box A - Box B - Box D
Box C = 25 lbs - 4 lbs - 10 lbs - 6 lbs
Box C = 5 lbs
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Sam is shipping five boxes, which weigh 50 pounds in total. The first four boxes weigh 8 pounds, 12 pounds, 9 pounds, and 15 pounds. How much does the last box weigh?
First, add the first four boxes together:
Now, subtract this number from the total to find the weight of the remaining box:
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Evaluate:
First, adding negative numbers is the same as subtracting them:
Now subtract:
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What is the difference between and
?
Finding the difference means subtracting the smaller number from the larger number. First line up the decimal points, then subtract. You'll need to borrow to get the right answer.
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Mark went to the grocery store to buy ingredients to make a cake. He bought eggs for $2.99, flour for $4.99, sugar for $3.99, and butter for $2.50. If he paid the cashier with a $20 bill, how much money did he recieve in change?
Since the question is asking how much money did Mark have left over, we need to subtract the cost of each item he bought from $20.
There are two ways of solving this problem:
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Solve:
In order to solve this problem, you must follow order of operations. One way of remembering the correct order is to remember the acronym PEMDAS. PEMDAS reminds you what you need to do first.
Note: For Multiplication and Division, and Addition and Subtraction, you do whatever operation comes first from left to right. So, if subtraction comes before addition, you do the subtraction first.
In this question, you are asked to solve:
First, we subtract from
since it is in the parenthesis (PEMDAS)
Second, we multiply by
(PEMDAS)
Third, we subtract from
. We subtract
from
first because we have to go from left to right (PEMDAS)
Lastly, we subtract from
to get the answer.
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Sally bought 3 different picture frames and paid a total of $60. If the first frame cost $15 and the second frame cost $25, how much did the third frame cost?
In order to find out how much the third frame costs, we need to subtract the cost of the first two frames ($15 and $25) from the total amount ($60).
There are two ways to subtract the cost of the first two frames from the total amount:
Method 1
We can subtract the total amount spent on the first two frames from $60
Remember to follow Order of Operations (PEMDAS) and add the numbers in parenthesis first.
The cost of the third frame was $20
Method 2
We can subtract the cost of each frame from $60
The cost of the third frame was $20
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Which of the following numbers can complete the sequence below?
In this sequence, each subsequent number is 3 less than the previous number. Given that 3 less than 20 is equal to 17, the correct answer is 17.
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Lisa is shopping for a jacket that costs $50. At one store, the jacket is $50 but is 10 percent off. At another store, the jacket is 5 percent off. At another store, the jacket is $10 off. Which of the following has the best deal for the jacket?
10 percent off means a discount of $5 and a final price of $45.
$10 off means a final price of $40.
5 percent off means a discount of $2.50 and a final price of $47.50.
Thus, $10 off is the best deal.
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Alex and Andrew are brothers who want to get their mother a present that costs $350. Their father gives them $100 to help them pay for it, and their sister gives them another $100 to help them pay for it. If Alex and Andrew pay for the rest of the present in equal parts, how much money (in dollars) must each one of them pay?
If Alex and Andrew want to get their mother a present that costs $350, and their father gives them $100 to help them pay for it, and their sister gives them another $100 to help them pay for it, they will have to pay the remaining $150. If Alex and Andrew pay for the rest of the present, they will each have to pay $75 each, because $150 divided by 2 is $75.
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Lisa is reading a book that is pages long. She has one-sixth of the book to read before she is finished. How many pages has she read so far?
One-sixth of is
. Therefore, if Lisa has
more pages to read before she is finished with the book, the number of pages that she has read so far is equal to
. Therefore,
is the correct answer.
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Maria has a playlist of eighteen songs. She deletes half of the songs and then adds three new songs. If she listens to the first of the new playlist, how many songs will she have listened to?
If Maria has a playlist of songs and deletes half of them, this leaves
remaining songs on the playlist. If she then adds
new songs, there will be
songs on the play list. If she listens to the first
of the new playlist, she will have listened to
songs. This is because
is equal to
and
.
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What is the value of the expression below, simplified?
The first step is the reduce the fractions in the expression.
Next, we need to convert each of the fractions to a form in which they both have the same denominator. We can do this by cross-multiplying:
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If Greg's older brother, Boris, is five years older than Greg but three years younger than their oldest brother, Jerry, how old is Greg if Jerry is eighteen years old?
Given that Boris is years younger than Jerry, Boris is
.
Given that Greg is years younger than Boris, Greg will be
years old.
Therefore, is the correct answer.
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If Eliza buys a book for dollars and then sells it for
dollars, how much profit does she make (in dollars)?
If Eliza buys a book for dollars and then sells it for
dollars, her profit will be equal to the selling price, minus the initial cost of the book.
This results in . Therefore,
dollars is the correct answer.
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If Betty has in her wallet and buys a sandwich that costs
, how much money will she have left in her wallet, in dollars?
If Betty has in her wallet and buys a sandwich that costs
, the best way to determine how much money is left in her wallet is to subtract
from
.
An easy way to do this is to first subtract and
. This results in:
.
Next, should be subtracted from
. This results in:
Therefore, Betty will have left in her wallet.
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What is the solution to the expression below?
The first step to solve for is to convert the fractions into a form in which they share a least common denominator. The least common denominator of
and
is
. Therefore, the expression should be rewritten as:
This results in , the correct answer.
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