How to multiply and divide decimals - HSPT Math
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Berta went shopping for a bathroom curtain. How much did she pay for the curtain if it was
off its original price of 
Berta went shopping for a bathroom curtain. How much did she pay for the curtain if it was off its original price of
First, multiply
.
Then, subtract that amount from the original price.

Answer: Berta paid
for the curtain.
First, multiply .
Then, subtract that amount from the original price.
Answer: Berta paid for the curtain.
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Oliver pays
for a skateboard. What is the discount percentage he receives if the skateboard originally costs 
Oliver pays for a skateboard. What is the discount percentage he receives if the skateboard originally costs
Divide
.
Subtract that amount from
to find the discount percentage Oliver received:

Answer: Oliver received a
discount on the skateboard.
Divide .
Subtract that amount from to find the discount percentage Oliver received:
Answer: Oliver received a discount on the skateboard.
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A computer is on sale for
off its original price of
What is the sales price of the computer?
A computer is on sale for off its original price of
What is the sales price of the computer?
First, multiply

Then, subtract that amount from the original price:

Answer: The sales price is 
First, multiply
Then, subtract that amount from the original price:
Answer: The sales price is
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Give the decimal equivalent of
.
Give the decimal equivalent of .
Divide 11 by 18:

The 1 repeats infinitely, so this can be rewritten as
.
Divide 11 by 18:
The 1 repeats infinitely, so this can be rewritten as .
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Give the decimal equivalent of
.
Give the decimal equivalent of .
Divide 5 by 27:

The group "185" repeats infinitely, so this can be written as
.
Divide 5 by 27:
The group "185" repeats infinitely, so this can be written as .
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Give the decimal equivalent of
.
Give the decimal equivalent of .
Divide 7 by 36:

The 4 repeats infinitely, so this can be rewritten as
.
Divide 7 by 36:
The 4 repeats infinitely, so this can be rewritten as .
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A painting is 37% off of its original price of $200.00. What is the sale price of the painting?
A painting is 37% off of its original price of $200.00. What is the sale price of the painting?
First, multiply:

The, subtract that amount from 200:

First, multiply:
The, subtract that amount from 200:
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A guitar is on sale for 15% off of its original price of $350.00. What is the sales price of the guitar?
A guitar is on sale for 15% off of its original price of $350.00. What is the sales price of the guitar?
First, multiply:

Then, subtract that value from the original amount:

First, multiply:
Then, subtract that value from the original amount:
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Evaluate

Evaluate
First, 
Then, 
First,
Then,
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When multiplying decimals you ignore the decimals and multiply the two numbers like you would normally.
Then count the total number of decimal places to the right of the decimal of the original numbers.
Move the decimal from the whole number answer you just received to the left the same number of times as the total decimal places to the right of the numbers before you multiplied them.
Therefore the answer is 
When multiplying decimals you ignore the decimals and multiply the two numbers like you would normally.
Then count the total number of decimal places to the right of the decimal of the original numbers.
Move the decimal from the whole number answer you just received to the left the same number of times as the total decimal places to the right of the numbers before you multiplied them.
Therefore the answer is
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A watch originally cost $55.00. If it is on sale for 20% off, what is the sale price of the watch?
A watch originally cost $55.00. If it is on sale for 20% off, what is the sale price of the watch?
To solve:
First, find what is 20% of 55 by multiplying:

Then, subtract 20% (11) from the original price:

The final sale price will be $44.00.
To solve:
First, find what is 20% of 55 by multiplying:
Then, subtract 20% (11) from the original price:
The final sale price will be $44.00.
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Which is largest?
a. 30% of 150
b. 20% of 300
c. 40% of 60
d. 10% of 400
Which is largest?
a. 30% of 150
b. 20% of 300
c. 40% of 60
d. 10% of 400
To solve:
First find the corresponding percentage of each multiple choice answer,
a) 
b)
c) 
d)
Then, compare the amounts and select which amount is the largest:
b) 60
To solve:
First find the corresponding percentage of each multiple choice answer,
a)
b)
c)
d)
Then, compare the amounts and select which amount is the largest:
b) 60
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Divide:

Divide:
Examine the divisor 0.004. To make this a whole number, the decimal point needs to be moved three places right. Do this to both 0.004 and 320, adding an implied decimal point after the latter first:

Now perform this division:

Examine the divisor 0.004. To make this a whole number, the decimal point needs to be moved three places right. Do this to both 0.004 and 320, adding an implied decimal point after the latter first:
Now perform this division:
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Evaluate: 
Evaluate:

First, multiply, ignoring the decimal points:

Put a decimal point after the number:

Since there were five digits total (one per factor) left of the decimal points, move the decimal point in the product left five places, inserting zeroes as needed:

First, multiply, ignoring the decimal points:
Put a decimal point after the number:
Since there were five digits total (one per factor) left of the decimal points, move the decimal point in the product left five places, inserting zeroes as needed:
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Express 1.14 as a fraction in lowest terms.
Express 1.14 as a fraction in lowest terms.
The fraction has its last nonzero digit in the hundredths place, so write the number, without the decimal point, over 100. Then reduce.

The fraction has its last nonzero digit in the hundredths place, so write the number, without the decimal point, over 100. Then reduce.
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Express 450,000,000,000 in scientific notation.
Express 450,000,000,000 in scientific notation.
To rewrite a very large number in scientific notation:
Write the number with the decimal point after it (it is implied to be at that location).

Move the decimal point left as many places as needed until it follows the first nonzero digit, which here is the four. Count the number of places it is moved - here it will be eleven places.
The number formed is
, which will be placed in front; 11, the number of places counted, will be the exponent. The number, in scientific notation, will be
.
To rewrite a very large number in scientific notation:
Write the number with the decimal point after it (it is implied to be at that location).
Move the decimal point left as many places as needed until it follows the first nonzero digit, which here is the four. Count the number of places it is moved - here it will be eleven places.
The number formed is , which will be placed in front; 11, the number of places counted, will be the exponent. The number, in scientific notation, will be
.
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How do you write
as a percent?
How do you write as a percent?
is equal to
, which is 20%.
is equal to
, which is 20%.
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Express
as a decimal.
Express as a decimal.
Divide 8 by 15:

The 3 repeats, so the correct choice is
.
Divide 8 by 15:
The 3 repeats, so the correct choice is .
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Andrew has completed 80% of the race. If the race is 5000 meters, how far along is Andrew?
Andrew has completed 80% of the race. If the race is 5000 meters, how far along is Andrew?
Multiply the length of the race by the percentage accomplished by Andrew:

Answer: Andrew has completed 4000 meters of the race.
Multiply the length of the race by the percentage accomplished by Andrew:
Answer: Andrew has completed 4000 meters of the race.
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Which is less?
a. 60% of 10
b. 20% of 40
c. 30% of 20
d. 10% of 50
Which is less?
a. 60% of 10
b. 20% of 40
c. 30% of 20
d. 10% of 50
Find the amounts by multiplying each number to the percentage rate:




Compare the amounts to find the least. The answer is D.
Find the amounts by multiplying each number to the percentage rate:
Compare the amounts to find the least. The answer is D.
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