Problem 632 Convert each decimal to a percen... [FREE SOLUTION]

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Chapter 1: Problem 632

Convert each decimal to a percent. $$ 1.56 $$

Short Answer

Expert verified

1.56 is 156%.

Step by step solution

- Understand the conversion

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

- Multiply by 100

Multiply 1.56 by 100: i.e., $ 1.56 \times 100 = 156 $

- Add the percent sign

After multiplication, add the percent sign to the result. So, 156 becomes 156%.

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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 a fundamental concept in math that often confuses students at first. Here's how it works:

Align the numbers by their decimal points.
Ignore the decimal points and multiply the numbers as if they were whole numbers.
Count the total number of decimal places in both factors.
Place the decimal point in the product so that it has the same total number of decimal places.

For example, if you multiply 1.56 by 100:

Multiply them as 156 and 10000 (since we ignore the decimal point in 1.56 and equivalent 100 as 10000).
156 脳 10000 = 1560000
Since 1.56 has two decimal places, we place the decimal point two places from the right in the product, making it 156.

This is essential to do correctly when converting decimals to percentages.

Percent Calculations

Understanding percent calculations is crucial for many aspects of math and daily life. To convert a decimal to a percent, you multiply the decimal by 100 and add the percent sign.
Remember, the percent symbol (%) represents a fraction of 100. So, when you multiply a decimal by 100, you are essentially converting the fraction to a percentage.
Here's a quick example: If you have a decimal such as 0.75 and you need to convert it to a percentage:

Multiply 0.75 by 100: $0.75 \times 100 = 75$.
Add the percent sign: 75%.

Another example, using the original problem where we multiply 1.56 by 100: $1.56 \times 100 = 156$. Hence, 1.56 as a percent is 156%.

Basic Algebra

Basic algebra can be found everywhere in math, including percent conversions. Understanding algebraic rules can make solving these problems easier.
One basic rule is that multiplying both sides of an equation by the same number keeps the equality true.

For instance, when converting decimals to percentages, we're using the algebraic principle of multiplying by 100. $x = 1.56\rightarrow 100 \times x = 100 \times 1.56\rightarrow 100x = 156$.

Basic algebra also involves understanding variables and constants. In percent conversion, our constant operation is multiplying by 100. The concepts learned here can be applied to various math problems beyond just converting decimals to percentages.

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91影视

Convert each decimal to a percent. $$ 1.56 $$

Short Answer

Step by step solution

- Understand the conversion

- Multiply by 100

- Add the percent sign

Key Concepts

Multiplying Decimals

Percent Calculations

Basic Algebra

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