Problem 50 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 50

In the following exercises, convert each decimal to a percent. $$0.03$$

Short Answer

Expert verified

Step by step solution

Understand the Decimal

The number given is 0.03. This is a decimal number less than 1.

Convert the Decimal to a Fraction

To convert a decimal to a percent, first think of the decimal as a fraction. For 0.03, write it as \[\frac{3}{100}\].

Convert the Fraction to Percent

To convert the fraction to a percent, multiply the numerator by 1 while leaving the denominator as 100. So \[\frac{3}{100} = 3%\].

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Key Concepts

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

Decimal Conversion

Converting decimals to percentages might sound tricky, but it's actually quite straightforward. A decimal is a way of representing a fraction in base 10. For example, 0.03 represents three hundredths. Decimals are useful in everyday life to express parts of a whole in a simpler way. To convert a decimal to a percentage, you can follow a series of simple steps. This process involves understanding the decimal, converting it to a fraction, and then changing the fraction into a percentage.

Percent Calculation

A percentage represents a part per hundred. It's a handy way to express fractions in a more intuitive way. To convert a decimal like 0.03 to a percentage, follow these steps:

Step 1: Understand the Decimal: Look at the given decimal number, 0.03, which is less than 1.

Step 2: Convert the Decimal to a Fraction: Think of the decimal as a fraction. For 0.03, write it as $\frac{3}{100}$.

Step 3: Convert the Fraction to a Percent: To turn the fraction into a percentage, multiply the numerator by 1, keeping the denominator as 100. This gives you $\frac{3}{100} = 3\text{%}$.

By multiplying by 100, you're essentially shifting the decimal point two places to the right. This is a key principle: moving the decimal point two places to the right turns a decimal into a percentage.

Basic Arithmetic

Basic arithmetic operations are at the heart of understanding how to convert between different forms of numbers. For converting decimals to percentages, you mainly use multiplication. Multiplying by 100 shifts the decimal point two places to the right.

Here鈥檚 why this works: when you multiply by 10, you shift the decimal one place to the right; multiplying by 100 shifts it two places. So for 0.03:

0.03 $ \times$ 10 = 0.3

0.3 $ \times$ 10 = 3

The result is 3%, which matches the percentage form of the original decimal. Therefore, basic multiplication and understanding fractions are essential skills that simplify many mathematical conversions and applications.

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91影视

In the following exercises, convert each decimal to a percent. $$0.03$$

Short Answer

Step by step solution

Understand the Decimal

Convert the Decimal to a Fraction

Convert the Fraction to Percent

Key Concepts

Decimal Conversion

Percent Calculation

Basic Arithmetic

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