Decimals - HSPT Math
Card 1 of 824
Define an operation 
on the set of positive integers as follows:
If 
, then which of the following could 
not be equal to?
Define an operation
If
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If 
, then the greatest common factor of 
and 20 is 10. 80 and 20 both have 20 as a factor - 20 is its own factor, since 
, and 20 is a factor of 80, since 
. Therefore, 10 is not the greatest common factor of 20 and 80, and 80 is the correct choice.
Of the other three factors, it can be seen that the GCF of 20 and each individual number is 10 by looking at each prime factorization:
In each pairing, the common prime factors are 2 and 5, so the GCF is 
.
If
Of the other three factors, it can be seen that the GCF of 20 and each individual number is 10 by looking at each prime factorization:
In each pairing, the common prime factors are 2 and 5, so the GCF is
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Above is the menu at the concession stand at a school carnival. Ken wants to purchase a hamburger, a medium order of fries, and medium soda for himself, and a hot dog, a small order of fries, and a small soda for his friend Donna. He hands the clerk a $10 bill and a $5 bill. He has some $1 bills in his pocket; how many of them will he need to hand to the clerk along with the other two bills?
(No tax is charged, since this is a school event)
Above is the menu at the concession stand at a school carnival. Ken wants to purchase a hamburger, a medium order of fries, and medium soda for himself, and a hot dog, a small order of fries, and a small soda for his friend Donna. He hands the clerk a $10 bill and a $5 bill. He has some $1 bills in his pocket; how many of them will he need to hand to the clerk along with the other two bills?
(No tax is charged, since this is a school event)
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The items Ken purchases are as follows:
Hamburger: $4.89
Medium fries: $2.79
Medium soda: $1.69
Hot dog: $4.39
Small fries: $2.29
Small soda: $1.09
The sum of the prices of these items:
Subtract from $20:
Rounding this up - Ken needs to give the clerk three more $1 bills.
The items Ken purchases are as follows:
Hamburger: $4.89
Medium fries: $2.79
Medium soda: $1.69
Hot dog: $4.39
Small fries: $2.29
Small soda: $1.09
The sum of the prices of these items:
Subtract from $20:
Rounding this up - Ken needs to give the clerk three more $1 bills.
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The above is a menu at the concession stand at a drive-in movie.
Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?
The above is a menu at the concession stand at a drive-in movie.
Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?
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The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.
Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves
to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.
The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.
Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves
to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.
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The above is a menu at the concession stand at a drive-in movie. The stand also offers a special "Meal Deal": a hamburger or a hot dog, a medium order of fries, and a medium soda for 
.
Randy orders two Meal Deals - a hamburger Meal Deal for himself and a hot dog Meal Deal for his friend Denise. How much more would he have paid for the items separately?
(Ignore tax)
The above is a menu at the concession stand at a drive-in movie. The stand also offers a special "Meal Deal": a hamburger or a hot dog, a medium order of fries, and a medium soda for
Randy orders two Meal Deals - a hamburger Meal Deal for himself and a hot dog Meal Deal for his friend Denise. How much more would he have paid for the items separately?
(Ignore tax)
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The two Meal Deals cost 
.
Purchased separately, the hamburger would have cost $4.89; the hot dog, $4.39; each of the two medium orders of fries, $2.79; and each of the two medium sodas, $1.69. The total price of the items, purchased separately, would have been
The difference between this and the $16 paid for the food is
The two Meal Deals cost
Purchased separately, the hamburger would have cost $4.89; the hot dog, $4.39; each of the two medium orders of fries, $2.79; and each of the two medium sodas, $1.69. The total price of the items, purchased separately, would have been
The difference between this and the $16 paid for the food is
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The above is a menu at the concession stand at a drive-in movie. The stand also offers a Family Chicken Strip Bucket - twenty chicken strips, four medium orders of fries, and four medium sodas for $30.
How much more would the items of the Family Chicken Strip Bucket cost if they were purchased separately?
(Ignore tax)
The above is a menu at the concession stand at a drive-in movie. The stand also offers a Family Chicken Strip Bucket - twenty chicken strips, four medium orders of fries, and four medium sodas for $30.
How much more would the items of the Family Chicken Strip Bucket cost if they were purchased separately?
(Ignore tax)
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There are twenty chicken strips in the Family Chicken Strip Bucket, which are the same as in five orders; each order costs $3.99 separately. Each medium order of fries costs $2.79 separately, and each medium soda costs $1.69 separately. The items separately cost a total of
Subtract $30; the savings amount to
There are twenty chicken strips in the Family Chicken Strip Bucket, which are the same as in five orders; each order costs $3.99 separately. Each medium order of fries costs $2.79 separately, and each medium soda costs $1.69 separately. The items separately cost a total of
Subtract $30; the savings amount to
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If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?
If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?
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Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =
96*0.25 + 70*0.25 + 85*0.5 =
24 + 17.5 + 42.5 = 84
Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =
96*0.25 + 70*0.25 + 85*0.5 =
24 + 17.5 + 42.5 = 84
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A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?
A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?
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First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:
1150 miles x gallons/46 miles = 25 gallons
Multiplying 25 by $3.90 yields $97.50.
First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:
1150 miles x gallons/46 miles = 25 gallons
Multiplying 25 by $3.90 yields $97.50.
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Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?
Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?
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The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.
The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.
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If 
, approximately how many inches are in one meter?
If
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and 
Using the factor-label method we get the following equation.
We treat the units as if they are numbers, and can cancel the units from the fractions.
Using the factor-label method we get the following equation.
We treat the units as if they are numbers, and can cancel the units from the fractions.
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What is 48,570 in scientific notation?
What is 48,570 in scientific notation?
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Convert to scientific notation by creating a number that is greater than or equal to 1 AND less than 10 AND includes the same digits as the original number. Remove all zeros before the first natural number and after the last natural number.
So, we have 48,570.
Now we move the decimal to create our number between 1 and 10.
4.8570
We have one zero after the last natural number, which is 7. Remove that.
4.857
Now we must multiply that number by 10 to a certain power. We choose our power by how many places the decimal must move to get our original number. In this case, the decimal would have to move 4 places to the right.
4.857
48.57
485.7
48,570.
So our final answer is 
Convert to scientific notation by creating a number that is greater than or equal to 1 AND less than 10 AND includes the same digits as the original number. Remove all zeros before the first natural number and after the last natural number.
So, we have 48,570.
Now we move the decimal to create our number between 1 and 10.
4.8570
We have one zero after the last natural number, which is 7. Remove that.
4.857
Now we must multiply that number by 10 to a certain power. We choose our power by how many places the decimal must move to get our original number. In this case, the decimal would have to move 4 places to the right.
4.857
48.57
485.7
48,570.
So our final answer is
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You bought a dozen eggs marked at 
and received 
change from 
. What is the percent of sales tax?
You bought a dozen eggs marked at
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Set the equation up as
Solve for 
, which equals 
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
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Multiply: 
Multiply:
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To multiply, there is no need to solve for a least common denominator. Simply multiply the numerator with the numerator and the denominators together.
To multiply, there is no need to solve for a least common denominator. Simply multiply the numerator with the numerator and the denominators together.
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Multiply: 
Multiply:
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Multiply the terms as is, ignoring the decimal.
Since there is one decimal from the original problem, the decimal place is one unit from the right. Therefore, the final answer must have a decimal one unit to from the right.
The answer is 
.
Multiply the terms as is, ignoring the decimal.
Since there is one decimal from the original problem, the decimal place is one unit from the right. Therefore, the final answer must have a decimal one unit to from the right.
The answer is
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Above is the menu at the concession stand at a school carnival.
David wants to buy some chicken strips for himself and his companions. He wants six strips, his brother Mickey wants five strips, his girlfriend Vickie wants three, and Mickey's girlfriend Jenny wants five. Since the concession stand only sells the strips in orders of four, he has decided to just purchase as many orders as it takes to feed the entire group. How much will he spend on enough orders of strips to satisfy the group?
(No tax is charged, since this is a school event)
Above is the menu at the concession stand at a school carnival.
David wants to buy some chicken strips for himself and his companions. He wants six strips, his brother Mickey wants five strips, his girlfriend Vickie wants three, and Mickey's girlfriend Jenny wants five. Since the concession stand only sells the strips in orders of four, he has decided to just purchase as many orders as it takes to feed the entire group. How much will he spend on enough orders of strips to satisfy the group?
(No tax is charged, since this is a school event)
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The group wants a total of 
strips; since
,
Dave will need to purchase five orders of strips (he cannot purchase a partial order). This will cost him
.
The group wants a total of
Dave will need to purchase five orders of strips (he cannot purchase a partial order). This will cost him
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An aircraft's cruising speed is 
miles per hour. How far will it travel in 
hours?
An aircraft's cruising speed is
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The formula to calculate distance is 
where 
represents rate of speed and 
represents time.
In this problem, 
mph., and 
hours.
Convert the 
to an improper fraction:
To solve, multiply.
miles.
At its cruising speed of 
mph, the aircraft will travel 
miles in 
hours.
The formula to calculate distance is
In this problem,
Convert the
To solve, multiply.
At its cruising speed of
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What is 16.7548 rounded to the nearest tenth?
What is 16.7548 rounded to the nearest tenth?
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The tenth's place is the position one unit to the right of the decimal point. In this case, that is the 7.
After identifying the position, we need to determine if this number remains 7 or if we need to round it up to 8. If the number to the right of the tenth's place is 4 or lower, then our number will remain 7. If it is 5 or greater, then we will round the 7 up to 8.
In this case, the number is indeed 5, so our tenth's place becomes 8. All numbers to the left of the tenth's place will remain the same.
The tenth's place is the position one unit to the right of the decimal point. In this case, that is the 7.
After identifying the position, we need to determine if this number remains 7 or if we need to round it up to 8. If the number to the right of the tenth's place is 4 or lower, then our number will remain 7. If it is 5 or greater, then we will round the 7 up to 8.
In this case, the number is indeed 5, so our tenth's place becomes 8. All numbers to the left of the tenth's place will remain the same.
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To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.
For example 
becomes 
Then go through each place and subtract the top number by the bottom number. Subtract the numbers in each place like you would any number.
The example we are working with will look like this 
The answer after subtraction is 
To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.
For example
Then go through each place and subtract the top number by the bottom number. Subtract the numbers in each place like you would any number.
The example we are working with will look like this
The answer after subtraction is
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Subtract: 
Subtract:
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Rewrite the decimal as a fraction and subtract:
Reduce this:
Rewrite the decimal as a fraction and subtract:
Reduce this:
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Evaluate: 
Evaluate:
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Add the first two numbers, making sure you align the decimal points in the addends and the sum:
Now subtract the third number, making sure you again align the decimal points:
Add the first two numbers, making sure you align the decimal points in the addends and the sum:
Now subtract the third number, making sure you again align the decimal points:
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Combine:
Combine:
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First, combine the positive decimals, which gives you 
.
Then, you can subtract that from 
, but remember that your answer is negative since it's a 
.
Your answer is 
.
First, combine the positive decimals, which gives you
Then, you can subtract that from
Your answer is
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