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Chapter 7: Problem 53

Convert the decimal to a percent. $$1.014$$

Short Answer

Expert verified
101.4%

Step by step solution

01

Understanding the Decimal

The number given is 1.014, which is a decimal. Converting decimals to percents involves multiplying the number by 100.
02

Multiply by 100

To convert 1.014 to a percent, multiply it by 100: decimal \(*\) 100 = percent So, 1.014 \(*\) 100 = 101.4
03

Add the Percent Symbol

After multiplying by 100, add a percent symbol (%) to the result. Therefore, 101.4\(%\) is the percent form of 1.014.

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Key Concepts

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

Multiplying Decimals
Multiplying decimals can initially feel a bit tricky, but with some practice, it becomes straightforward. Whenever you multiply a decimal by 100, you're effectively moving the decimal point two places to the right.
For example:
\(1.014 * 100 = 101.4\).
Think of it this way:
  • Step 1: Identify the decimal point in the given number.
  • Step 2: Move that decimal point two places to the right.
Each move to the right increases the value of the number 10 times. So in our example:
\(1.014\) initially has the decimal point after the first digit (1).
After moving it two places to the right, we end up with \(101.4\).

Multiplying by 100 is a fast way to convert a decimal into a percent. Just don't forget about the new position of the decimal point!
Percentage Calculation
Calculating percentages often involves using simple multiplication or division. In our case, converting a decimal to a percent primarily involves multiplying by 100.
Let's break this down:
  • Step 1: Take the original decimal number (like 1.014).
    As decimals represent parts of whole numbers, 1.014 actually represents 101.4-out-of-100 when converted to a percentage.
By understanding this, it鈥檚 easy to see why multiplying by 100 shifts the decimal two places to the right. It essentially scales the number as a fraction of 100.
After performing the multiplication for our example, we get:
\(1.014 * 100 = 101.4\).
The result, 101.4, represents the percentage value.
Adding Percent Symbol
The final step in the conversion process is to add the percent symbol (%).
This symbol signifies that the number we have is a percentage, a representation of a part out of 100.
After multiplying 1.014 by 100 to get 101.4, we signal that this number is in percent form:
  • Step 1: Take the product (101.4).
  • Step 2: Attach the '%' symbol to indicate percent.
So, \(101.4\) becomes \(101.4\%\text{.}\).
It鈥檚 a straightforward step but crucial for clarity. Always finish your decimal-to-percent conversions by adding that percent symbol to avoid any confusion.

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Most popular questions from this chapter

Find the total amount in an account for an investment subject to the following conditions. Principal $$\$ 10,000$$ Annual Interest Rate $$6 \%$$ Time, Years $$1 \frac{1}{2}$$ Compounded Quarterly Total Amount __________

Solve the problem using a percent proportion. \(0.8 \%\) of what number is \(192 ?\)

It is customary to leave a \(15-20 \%\) tip for the server in a restaurant. However, when you are at a restaurant in a social setting, you probably do not want to take out a pencil and piece of paper to figure out the tip. It is more socially acceptable to compute the tip mentally. Try this method. Step 1: First, if the bill is not a whole dollar amount, simplify the calculations by rounding the bill to the next-higher whole dollar. Step 2: Take \(10 \%\) of the bill. This is the same as taking one-tenth of the bill. Move the decimal point to the left 1 place. Step 3: If you want to leave a 20\% tip, double the value found in step 2. Step 4: If you want to leave a \(15 \%\) tip, first note that \(15 \%\) is \(5 \%+10 \% .\) Therefore, add one-half of the value found in step 2 to the number in step 2 . Estimate a \(20 \%\) tip on a bill of \(\$ 18.79\)

Solve the problem using a percent equation. \(12 \%\) of what number is \(26.4 ?\)

Is the number 1.4 less than or greater than \(100 \% ?\)
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