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Chapter 7: Problem 10

Change each percent to a decimal. $$34 \%$$

Short Answer

Expert verified
34% as a decimal is 0.34.

Step by step solution

01

Understanding Percent

A percent represents a part per hundred. For instance, 34% means 34 out of 100.
02

Convert Percent to Fraction

To convert 34% to a fraction, we write it as \(\frac{34}{100}\).
03

Decimal Conversion

To convert the fraction \(\frac{34}{100}\) to a decimal, divide 34 by 100, which results in 0.34.

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Key Concepts

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

Percent to Decimal Conversion
Changing a percent to a decimal is a fundamental math skill. It often comes up in real-life situations like shopping and finance.

**Step-by-Step Guide to Convert Percent to Decimal:**
  • Start with the percent you want to convert. Let's use 34% as an example.
  • A percent is essentially a fraction where the denominator is 100. So, 34% is the same as \(\frac{34}{100}\).
  • To convert to a decimal, divide the top number (numerator) of the fraction by the bottom number (denominator).
  • Performing the calculation \(34 \div 100\) gives you 0.34.
So, 34% as a decimal is 0.34. Remember, moving the decimal point two places to the left effectively changes a percent to a decimal.

This rule holds for any percent, so always ensure the division is done correctly!
Fraction to Decimal Conversion
Converting fractions to decimals is an essential math skill. It helps in understanding quantities and comparing different values.

**Steps to Convert a Fraction to a Decimal:**
  • Identify the fraction you need to convert. For instance, let's convert \(\frac{34}{100}\).
  • Simply divide the numerator (34) by the denominator (100).
  • This operation gives you the decimal number 0.34.
This conversion shows how fractions relate directly to decimals.

An easy trick is to pay attention to the denominator. If it's a multiple of 10, 100, or similar, converting becomes straightforward. Practice with different fractions to gain confidence!
Prealgebra Concepts
Prealgebra is the foundation of all other mathematics fields. Conversions between percentages, fractions, and decimals are key components here.

**Basic Ideas in Prealgebra:**
  • Numbers can be expressed in various forms, such as whole numbers, decimals, and fractions.
  • Percentages are another form of expressing numbers, indicating the parts per hundred.
  • Conversion between these forms helps in understanding and working with numbers more flexibly.
When tackling more complex math problems, solid prealgebra skills make the process easier. Understanding how to switch between percentages, fractions, and decimals broadens your mathematical toolkit,
helping you solve problems efficiently. Practice regularly to strengthen these skills.

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Most popular questions from this chapter

Write as a percent. $$1.36$$

Write as a percent. Round to the nearest tenth of a percent. $$\frac{2}{5}$$

Use a calculator to write each fraction as a decimal, and then change the decimal to a percent. Round all answers to the nearest tenth of a percent. $$\frac{568}{732}$$

The problems below will allow you to review subtraction of fractions and mixed numbers. $$\frac{3}{4}-\frac{1}{4}$$

Write as a percent. $$0.02$$
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