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91Ó°ÊÓ

Convert the given decimal to a percent. $$ 3.372 $$

Short Answer

Expert verified
3.372 is 337.2%.

Step by step solution

01

Understand the Relationship

To convert a decimal to a percent, multiply the decimal by 100. This is because percent means per hundred.
02

Perform the Multiplication

Multiply the given decimal, 3.372, by 100. The calculation looks like this: \[3.372 \times 100\]
03

Calculate the Result

Carrying out the multiplication, we get: \[3.372 \times 100 = 337.2\]
04

Interpret the Result

The calculation shows that 3.372 as a percent is equal to 337.2%, indicating that it is 337.2 per 100.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percent Calculation
The concept of percent is much like a universal way to express any fraction or decimal as parts of 100. When we say something is a certain percent, we’re literally saying how many out of every 100 something is. For instance, when a decimal like 3.372 is converted into percent form, it helps us speak of it in a format that is more accessible and comparable.
To convert any decimal to a percent, you can simply multiply by 100. This gives us the number of portions per 100, which is the essence of the percentage. Remember, percent means "per hundred."
  • Start with the decimal: 3.372
  • Multiply by 100: 3.372 × 100
  • Ending with a percent value leads us to: 337.2%
Thus, 3.372 as a percent equals 337.2%. This whole conversion makes it easier for us to interpret and use decimals in everyday language.
Multiplication
Multiplication is a crucial math operation used when converting decimals to percents. It allows you to scale the decimal up proportionally to express it per 100 parts.
The operation itself is straightforward: simply multiply the given decimal number by 100. This step transforms the decimal directly into its percentage equivalent.
Here’s why this method works:
  • Each decimal place represents a division by 10. Multiplying by 100 (which is 10 × 10) counteracts two decimal places.
  • By multiplying by 100, you essentially move the decimal point two places to the right, converting the decimal to a whole number that easily translates into percentage format.
For our example with 3.372, multiplying by 100: \[3.372 \times 100 = 337.2\] This operation confirms that 3.372 translates into 337.2%, placing it into a context that’s more straightforward to interpret.
Decimal Numbers
Decimal numbers represent fractions of a whole number, using a decimal point to separate the whole part of a number from its fractional part. Understanding decimals is pivotal for a wide array of calculations, including converting them into percentages.
A decimal such as 3.372 indicates that it is 3 whole parts and 0.372 parts more than a whole number. This detailed representation is essential when calculating more precise percentages.
Here’s how they fit into percent conversion:
  • Decimal point location: As each place values are tenths, hundredths, thousandths, etc., it allows for precise number representation.
  • Shift during conversion: The conversion process usually involves shifting the decimal two places to the right when multiplying by 100 to transition from a fractional decimal to a percentage format.
Remember, every time you encounter a decimal, it’s just a way of expressing parts of a whole, neatly slotted into a base-10 system.

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