Percents and Decimals - Basic Math
Card 1 of 176
Convert
to a percent.
Convert to a percent.
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To convert a decimal into percent, multiply the decimal by 100 and then add a "%" sign.

Add a % sign.

To convert a decimal into percent, multiply the decimal by 100 and then add a "%" sign.
Add a % sign.
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What is
expressed as a percentage rounded to the nearest tenth?
What is expressed as a percentage rounded to the nearest tenth?
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Percents are numbers expressing parts of
:
means
part of
, or
.
The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of
. Therefore:

Now, we need to round the percentage to the nearest tenth. The number after the tenths place is a five, so we need to round up:

is therefore our final answer.
Percents are numbers expressing parts of :
means
part of
, or
.
The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of . Therefore:
Now, we need to round the percentage to the nearest tenth. The number after the tenths place is a five, so we need to round up:
is therefore our final answer.
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What is
expressed as a percentage rounded to the nearest hundredth?
What is expressed as a percentage rounded to the nearest hundredth?
Tap to reveal answer
Percents are numbers expressing parts of
:
is the same thing as saying
parts of
or 
The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of
. Therefore:

In everyday usage, percents usually are between
and
. However, when a number is greater than
, it's corresponding percentage is going to be greater than
. The next step of this problem is to round the percentage we have to the nearest hundredth. The number in the thousandths place is
, therefore, we're going to round up:

is therefore our final answer.
Percents are numbers expressing parts of :
is the same thing as saying
parts of
or
The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of . Therefore:
In everyday usage, percents usually are between and
. However, when a number is greater than
, it's corresponding percentage is going to be greater than
. The next step of this problem is to round the percentage we have to the nearest hundredth. The number in the thousandths place is
, therefore, we're going to round up:
is therefore our final answer.
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What is
as a percent?
What is as a percent?
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To change a demical to a percent, multiply the decimal by 100 and then add the percent sign.

Add the percent sign.

To change a demical to a percent, multiply the decimal by 100 and then add the percent sign.
Add the percent sign.
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What is
as a percent?
What is as a percent?
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To change a decimal into a percent, start by multiplying the decimal by 100.

Then, add a percent sign to the end of that number.

To change a decimal into a percent, start by multiplying the decimal by 100.
Then, add a percent sign to the end of that number.
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What is
as a percent?
What is as a percent?
Tap to reveal answer
To change a decimal into a percent, start by multiplying the decimal by 100.

Then add a percent sign to the end of the number.

To change a decimal into a percent, start by multiplying the decimal by 100.
Then add a percent sign to the end of the number.
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What is
as a percent?
What is as a percent?
Tap to reveal answer
To change a decimal into a percent, multiply the decimal by 100 then add the percent sign.


To change a decimal into a percent, multiply the decimal by 100 then add the percent sign.
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Change
into a percent.
Change into a percent.
Tap to reveal answer
To change a decimal into a percent, multiply the decimal by
then add a percent sign at the end of that number.


To change a decimal into a percent, multiply the decimal by then add a percent sign at the end of that number.
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If
of an unknown number is
, what is the unknown number?
If of an unknown number is
, what is the unknown number?
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First, we will need to convert
to a decimal.

Now, the word "of" means we will need to multiply 0.05 by our unknown number,
. Set that equation to 18, since that is what the problem tells us.

Now, divide both sides by 0.05

First, we will need to convert to a decimal.
Now, the word "of" means we will need to multiply 0.05 by our unknown number, . Set that equation to 18, since that is what the problem tells us.
Now, divide both sides by 0.05
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Jimmy is a salesman who is paid a base salary of
per month. He also receives a
commission on all his sales. If Jimmy sold
worth of goods one month, how much was he paid for that month?
Jimmy is a salesman who is paid a base salary of per month. He also receives a
commission on all his sales. If Jimmy sold
worth of goods one month, how much was he paid for that month?
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We can write the following equation to represet Jimmy's salary:

Because we know Jimmy sold $1920 this month, we can plug it into the above equation.

Now, convert the percent into a decimal to find how much Jimmy made this month.

We can write the following equation to represet Jimmy's salary:
Because we know Jimmy sold $1920 this month, we can plug it into the above equation.
Now, convert the percent into a decimal to find how much Jimmy made this month.
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If
of
is
, what is the value of 
If of
is
, what is the value of
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To be able to write the question as an equation, we need to first convert
into a decimal.

Now, we can write the following equation and solve.


To be able to write the question as an equation, we need to first convert into a decimal.
Now, we can write the following equation and solve.
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If
of an unknown number is
, what is the unknown number?
If of an unknown number is
, what is the unknown number?
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First, we need to convert
into a decimal.

Then, we can write the following equation using the information given in the question:
,
where
is our unknown number.
Now, solve for 

First, we need to convert into a decimal.
Then, we can write the following equation using the information given in the question:
,
where is our unknown number.
Now, solve for
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When an unknown number is increased by
, it becomes the number
. What is the unknown number?
When an unknown number is increased by , it becomes the number
. What is the unknown number?
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First, convert the percent into a decimal.

Now, increasing an unknown number by
can be written by the following expression:

Next, set that equal to 88, since that is what the question tells us to do.

Now solve.


First, convert the percent into a decimal.
Now, increasing an unknown number by can be written by the following expression:
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
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of an unknown number is
. What is the unknown number?
of an unknown number is
. What is the unknown number?
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Before we can write an equation, we need to turn the percent into a decimal.

Now, we can write the following equation:

Divide both sides by
.

Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by .
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If
of an unknown number is
, what is the unknown number?
If of an unknown number is
, what is the unknown number?
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First, let
stand for the unknown number.
Then, let's convert the percentage
into an equivalent decimal 
Translating the question above into an equation, we have:

Dividing both sides by
, we see that
.
First, let stand for the unknown number.
Then, let's convert the percentage into an equivalent decimal
Translating the question above into an equation, we have:
Dividing both sides by , we see that
.
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If
of a number
is
, what is the value of
?
If of a number
is
, what is the value of
?
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First, let's convert the percentage
into its equivalent decimal
.
Then, translate the above question into an equation:

Dividing by
:

First, let's convert the percentage into its equivalent decimal
.
Then, translate the above question into an equation:
Dividing by :
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A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
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A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.

Then, multiply the result times the existing maximum capacity.

The result is your answer.
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
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What is
of
?
What is of
?
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Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
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What is the perimeter of a semicircle with an area of
?
What is the perimeter of a semicircle with an area of ?
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This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:

Since the area is
, substitute this into A to find radius r.



Since the radius is 2, the diameter is 4.

The circumference for a semicircle is:


The perimeter is the sum of the circumference and diameter:

This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:
Since the area is , substitute this into A to find radius r.
Since the radius is 2, the diameter is 4.
The circumference for a semicircle is:
The perimeter is the sum of the circumference and diameter:
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Lucy is a real estate agent who is paid a
commission on the value of each house she sells every month. She is also paid a base monthly rate of
as part of her salary. If
represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Lucy is a real estate agent who is paid a commission on the value of each house she sells every month. She is also paid a base monthly rate of
as part of her salary. If
represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Tap to reveal answer
To start, we need to convert the percent into a decimal.

Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression
.
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:

To start, we need to convert the percent into a decimal.
Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression .
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:
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