Problem 349 In the following exercises, conv... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 6: Problem 349

In the following exercises, convert each decimal to a percent. $$ 0.15 $$

Short Answer

Expert verified

0.15 = 15%

Step by step solution

Understanding the conversion

To convert a decimal to a percent, multiply the decimal number by 100.

Perform the multiplication

Multiply 0.15 by 100: \[ 0.15 \times 100 = 15 \]

Write the result as a percent

Attach the percent symbol (%) to the result obtained in Step 2. Thus, 15%.

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Key Concepts

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

Multiplying Decimals

Multiplying decimals is simple once you understand the steps involved. It鈥檚 just like multiplying whole numbers, but you need to keep track of the decimal points.
Here鈥檚 a quick guide:

First, ignore the decimal points and multiply the numbers as if they are whole numbers.
After multiplying, count the total number of decimal places in both original numbers.
Place the decimal point in the result so that it has the same number of decimal places counted in the previous step.

For example, to multiply 0.15 by 100, treat it like 15 times 100, which gives 1500. Since 0.15 has two decimal places, we need to include 2 decimal places in the result, making it 15.00, which is effectively 15.

Percent Conversion

Converting a decimal to a percent is essentially about scaling up the number so that it represents parts out of 100. The rule here is quite straightforward: just multiply the decimal by 100.
This method works because 鈥榩er cent鈥� means 鈥榩er hundred鈥�. So, when you multiply by 100, you are shifting the decimal point two places to the right.
For example:

Take the decimal 0.15.
Multiply it by 100, resulting in 15.
Finally, add the percent symbol (%) to get 15%.

This lets you know that 0.15 is equivalent to 15 out of 100, which makes it 15%.

Basic Arithmetic Operations

Basic arithmetic operations include addition, subtraction, multiplication, and division. These are the fundamental operations used in math.
Here鈥檚 a brief rundown of each:

Addition (+) - Combining two numbers to get the sum.
Subtraction (-) - Taking one number away from another to get the difference.
Multiplication (脳) - Repeated addition of the same number.
Division (梅) - Splitting a number into equal parts.

In the context of decimal to percent conversion, multiplication is key. You multiply the decimal by 100 to shift the decimal point over two places, turning it into a percentage.

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91影视

In the following exercises, convert each decimal to a percent. $$ 0.15 $$

Short Answer

Step by step solution

Understanding the conversion

Perform the multiplication

Write the result as a percent

Key Concepts

Multiplying Decimals

Percent Conversion

Basic Arithmetic Operations

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