Problem 2 Convert the decimal to a percent... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 7: Problem 2

Convert the decimal to a percent. $$0.059$$

Short Answer

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Step by step solution

Understand the Problem

Given the decimal 0.059, the task is to convert this decimal to a percent.

Conversion Concept

Recall that to convert a decimal to a percent, multiply the decimal by 100.

Perform the Multiplication

Multiply 0.059 by 100 to convert it to a percent.

Calculate

Let's perform the multiplication: $0.059 \times 100 = 5.9$

Write the Result

The decimal 0.059 is equivalent to 5.9%.

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Key Concepts

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

decimal conversion

Decimals represent fractions of a whole. Think of a decimal as how much out of one you have.
For example, 0.5 means you have half of something, while 0.25 means you have a quarter.
Converting decimals is about understanding where they fit in the broader number system.

To get used to decimals, practice by writing them out longhand.
For instance, 0.059 can be read as 'fifty-nine thousandths.'
This is because the '5' is in the hundredths place and the '9' is in the thousandths place.

Becoming comfortable with reading and situating decimals makes it easier to manipulate them in math problems.

percent calculation

Converting a decimal to a percent is straightforward.

Start by remembering that 'percent' means 'per hundred'.
Therefore, to convert a decimal to a percent, you multiply the decimal by 100.
For instance, for our example, 0.059: \[0.059 \times 100 = 5.9\]
This multiplication shifts the decimal point two places to the right.

After multiplying, you append the percent symbol (%) to your result.
Thus, 0.059 becomes 5.9%.
This process standardizes the expression of proportions to a base of 100, making comparisons easier.

basic math operations

Basic operations in math include fundamental tools like addition, subtraction, multiplication, and division.
For decimal to percent conversions, we focus on multiplication.

Remember these keys to multiplication:

Multiply the numbers normally, ignoring the decimal point initially.
Count the total number of decimal places in the factors before multiplying.
Place the decimal point in the product, matching the total number of decimal places.

For our example of 0.059, consider it as 59 (two decimal places).
Multiplying by 100 (which has no decimal places) leaves us moving the decimal two places to get 5.9.

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91影视

Convert the decimal to a percent. $$0.059$$

Short Answer

Step by step solution

Understand the Problem

Conversion Concept

Perform the Multiplication

Calculate

Write the Result

Key Concepts

decimal conversion

percent calculation

basic math operations

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