Changing View - Basic Arithmetic

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Question

Convert to a percent.

Answer

To convert a decimal into percent, multiply the decimal by 100 and then add a "%" sign.

$3.15\times100=315$

Add a % sign.

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Question

What is expressed as a percentage rounded to the nearest tenth?

Answer

Percents are numbers expressing parts of $\small 100$ : $\small \small 1%$ means $\small 1$ part of $\small 100$ , or $\small \frac{1}{100}$ .

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 $\small 100$ . Therefore:

$\small 0.9525=95.25%$

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:

$\small 95.25%\Rightarrow95.3%$

$\small 95.3%$ is therefore our final answer.

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Question

What is $\small 2.420398$ expressed as a percentage rounded to the nearest hundredth?

Answer

Percents are numbers expressing parts of $\small 100$ : $\small \small 84%$ is the same thing as saying $\small 84$ parts of $\small 100$ or $\small \frac{84}{100}$

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 $\small 100$ . Therefore:

$\small 2.420398=242.0398%$

In everyday usage, percents usually are between $\small \small 0%$ and $\small 100%$ . However, when a number is greater than $\small 1$ , it's corresponding percentage is going to be greater than $\small 100%$ . The next step of this problem is to round the percentage we have to the nearest hundredth. The number in the thousandths place is $\small 9$ , therefore, we're going to round up:

$\small 242.0398%\Rightarrow242.04%$

$\small 242.04%$ is therefore our final answer.

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Question

What is as a percent?

Answer

To change a demical to a percent, multiply the decimal by 100 and then add the percent sign.

$0.49\times100 = 49$

Add the percent sign.

$49\rightarrow49%$

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Question

What is as a percent?

Answer

To change a decimal into a percent, start by multiplying the decimal by 100.

$0.87\times100=87$

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

$87\rightarrow87%$

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Question

What is as a percent?

Answer

To change a decimal into a percent, start by multiplying the decimal by 100.

$0.71\times100=71$

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

$71\rightarrow71%$

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Question

What is as a percent?

Answer

To change a decimal into a percent, multiply the decimal by 100 then add the percent sign.

$0.54\times100=54$

$54\rightarrow 54%$

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Question

Change into a percent.

Answer

To change a decimal into a percent, multiply the decimal by then add a percent sign at the end of that number.

$0.99\times100=99$

$99\rightarrow99%$

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Question

If students out of a class of are wearing blue, what percentage of the class is NOT wearing blue?

Answer

If of the students are wearing blue then that means of them are not wearing blue. Because,

Now to find the percentage we divide the number of students not wearing blue, by the total number of students in the class and then multiply by .

Thus,

$\frac{18}{24} \times 100= 0.75 \times 100 = 75%$

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Question

Change $\frac{5}{6}$ to a percent.

Answer

To convert a fraction into a percent, we need to first change the fraction into a decimal.

$\frac{5}{6}=0.8333$

Now, change the decimal into a percent by multiplying by 100 and adding a percent sign.

$0.8333\times100=83.33$

Add a percent sign

$83.33\rightarrow83.33%$

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Question

Convert $\frac{1}{5}$ to a percentage.

Answer

The correct answer is 20%. This can be obtained by first converting the fraction $\frac{1}{5}$ to a decimal and then multiplying by 100 to get a percentage.

$1\div5 = 0.20\ast100 = 20%$

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Question

What is $\frac{12}{13}$ as a percent?

Answer

To change a fraction into a percent, you need to first change the fraction into a decimal.

Dividing 12 by 13 gives the following:

$\frac{12}{13}=12\div13=0.923$

Now, to change the decimal to a percent, start by multiplying the decimal by 100.

$0.923\times100=92.3$

Then, just add a percent sign.

$92.3\rightarrow92.3%$

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Question

What is of ?

Answer

Convert 1% to a fraction by dividing 100. One percent is equivalent to:

$\frac{1}{100}$

Multiply this with two, and the answer is:

$\frac{1}{100}\cdot2=\frac{2}{100}=\frac{1}{50}$

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Question

Convert $\frac{12}{20}$ to a percent.

Answer

A percentage can be written as a fraction with any positive whole number in the numerator and 100 in the denominator. To write the fraction as a percent, begin by writing both as fractions:

$\frac{12}{20} = \frac{x}{100}$

Cross-multiply to find the missing whole number.

$12 \times 100= 1200$

$20 \times x = 20x$

Divide the known value by the unknown to solve for x.

$\frac{1200}{20}= x$

is percent of , so the answer is .

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Question

Change to a decimal.

Answer

To change a percent to a decimal, drop the "%" sign then divide by 100.

$78%\rightarrow78$

$\frac{78}{100}=0.78$

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Question

What is as a decimal?

Answer

To change a percent by the decimal, first drop the percent sign.

$74%\rightarrow74$

Then, divide the number by 100.

$74\div100=0.74$

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Question

One out of the three shirts I own is red. What percent of my shirts are not red? Round your final answer to the nearest tenth.

Answer

The question is in regards to the amount of non-red shirts. If one of the three shirts is red, then two are not red. We represent this as a fraction:

$\frac{2}{3}$

In order to convert it into a percent, we carry out the division and multiply the result by 100:

$\frac{2}{3}=.66\bar{6}$

$.66\bar{6}\times 100=66.6\bar{6}$

We want to round to the nearest tenth, which is the number directly to the right of the decimal point. The number in the next spot over, the hundredths place, is six, so we round the tenths spot up to seven. This gives us a final answer of 66.7%.

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Question

Convert the following percent to a decimal:

.

Answer

To convert a percent into a decimal, divide the percent by 100 or move the decimal point 2 places to the left.

$\frac{68}{100}=0.68$ or 68 hundredths.

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Question

Convert the following percent to a decimal:

.

Answer

To convert a percent to a decimal, divide the percent by 100 or move the decimal point two places to the left.

$\frac{1.33}{100}=0.0133$

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Question

What is $\small 49.32%$ expressed as a decimal?

Answer

Percentages are numbers represented as parts of $\small 100$ . $\small \small 49.32%$ therefore means $\small 49.32$ parts of $\small 100$ . To get the corresponding decimal, we need to divide by $\small 100$ (which can be done by moving the decimal point two places to the left) and remove the percentage sign. Thus we obtain:

$\small 49.32%\Rightarrow0.4932$

Our final answer is $\small 0.4932$ .

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