/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 50 In the following exercises, conv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 50

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

Short Answer

Expert verified
3%

Step by step solution

01

Understand the Decimal

The number given is 0.03. This is a decimal number less than 1.
02

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 \[\frac{3}{100}\].
03

Convert the Fraction to Percent

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

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.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, solve. Jorge got a raise in his hourly pay, from \(\$ 19.00\) to \(\$ 19.76 .\) Find the percent increase.

In the following exercises, write as (a) a ratio and (b) a percent 80 out of 100 firefighters and law enforcement officers were educated at a community college.

In the following exercises, find the sale price. Rick wants to buy a tool set with original price \(\$ 165 .\) Next week the tool set will be on sale for 40\(\%\) off.

In the following exercises, convert each percent to (a) a simplified fraction and (b) a decimal In \(2000,4.2 \%\) of the United States population was of Asian descent. www.census.gov)

In the following exercises, solve the problem using the simple interest formula. In 10 years, a bank account that paid 5.25\(\%\) earned \(\$ 18,375\) interest. What was the principal of the account?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.