Question

Write each fraction or decimal as a percent. Round to the nearest tenth of a percent. $$0.004$$

Short answer

0.4%

Step-by-step solution

Convert the Decimal to a Percent

To convert a decimal to a percent, multiply the decimal by 100. This is because 'percent' literally means 'per hundred.' Therefore, we need to move the decimal point two places to the right.

Calculate the Conversion

Multiply 0.004 by 100. This gives us:\[0.004 \times 100 = 0.4\]

Round if Necessary

Since we need to round to the nearest tenth of a percent, we look at the number in the tenths place, which is already 0.4. No further rounding is needed.

Write the Final Answer

The result is 0.4%. This completes the conversion of the decimal to a percent.

Key concepts

decimal to percent conversion

Converting decimals to percentages is an essential math skill.
It's straightforward when you break it down.
Percent means 'per one hundred,' so converting involves multiplying the decimal by 100.
This shifts the decimal point two places to the right. For example, to convert 0.004 to a percent, multiply as follows: \[0.004 \times 100 = 0.4\]. This results in 0.4%.
It's that simple!

rounding decimals

Rounding decimals helps simplify numbers, making them easier to understand.
To round to the nearest tenth, look at the digit in the tenths place.
If the digit right after it (in the hundredths place) is 5 or more, round up.
If it's less than 5, keep the tenths digit the same.
For example, with 0.44, you would look at the tenths place (4), and the hundredths place (4). Without any need to round up, the final rounded value is simply 0.4.

mathematics education

Mathematics education builds vital problem-solving skills.
It helps you understand and manipulate numbers, which is crucial for everyday tasks.
Learning concepts like decimal and percent conversions, as well as rounding, enhances your ability to work with data, manage finances, and understand statistics.
These basic skills lay the foundation for more advanced math topics, making your journey in mathematics smoother and more engaging.