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Chapter 7: Problem 36

Convert the given decimal to a percent. $$ 5.1 $$

Short Answer

Expert verified
5.1 as a percent is 510%.

Step by step solution

01

Understand the Problem

To convert a decimal to a percent, we need to multiply the decimal by 100. This operation shifts the decimal point two places to the right. For the decimal 5.1, this will give us the equivalent percentage.
02

Multiply by 100

To convert 5.1 to a percent, multiply it by 100:\[ 5.1 \times 100 = 510 \]
03

Write the Result as a Percentage

After multiplying, attach a percent sign to the result to express it as a percentage. Thus, 5.1 as a percent is 510%.

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Key Concepts

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

Multiplication
Multiplication is a core mathematical operation used to calculate the result of combining different numbers. In the context of converting decimals to percentages, multiplication serves a special purpose. Specifically, you multiply the decimal value by 100 to shift the decimal point two places to the right.
This is because percentages are essentially fractions out of 100.
  • For example, if you have the decimal 0.75, multiplying it by 100 gives you 75, indicating it represents 75%.
  • The process is simple: just take the decimal and use it like any other number in multiplication.
Multiplication like this is foundational in math, not only for percentage calculation but also in various other applications. Remember always to double-check your multiplication results, as errors can lead to incorrect percentages.
Decimal Conversion
Converting a decimal involves understanding the relationship between decimal numbers and percentages. When a decimal is multiplied by 100, it essentially changes to a percentage.
  • Decimals are fractions of a whole, such as 0.25, meaning 25 out of 100, or 25%.
  • The multiplication process simplifies this conversion by directly transforming the decimal to a percentage.
For instance, the decimal 5.1 represents a value larger than 1, so when converting it by multiplying by 100, it results in 510. This shows that 5.1 is equivalent to 510%.
By understanding decimal conversion, you're better equipped to handle percentages in everyday math, ranging from financial calculations to data analysis.
Percentage Calculation
Calculating a percentage is straightforward once you grasp the relationship between decimals and percentages. To transform a decimal into a percentage, you're essentially calculating how much that decimal represents out of a complete set of 100 units.
  • You achieve this by multiplying the decimal by 100.
  • This operation can be visualized as moving the decimal point two places to the right.
For example, computing the percentage of 5.1 involves multiplying 5.1 by 100, resulting in 510. Attaching a percent sign gives you the final result: 510%.
Understanding how to calculate percentages is invaluable in a range of scenarios, like determining discounts, analyzing data, and interpreting statistics. Mastering this skill ensures accurate interpretations and confident calculations.

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Most popular questions from this chapter

Suppose that $9,800 is invested at 2.75% simple interest per year. What will the balance be after 6 years?

The balance on a 5-year loan is $$\$ 5,400$$. If the principal borrowed was $$\$ 4,000$$, what was the simple interest rate (as a percent)?

How much simple interest is earned if $2,500 is invested at 5% per year for 6 years?

Suppose that the price of an 8-ounce can of tomato sauce increased from $$\$ 0.20$$ to $$\$ 0.28$$. a) What was the amount of increase? b) What was the percent increase?

A television set marked at $$\$437$$ is sold for $$\$ 347$$. Find the percent discount, correct to the nearest tenth of a percent.
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