Problem 53 Convert the decimal to a percent... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 7: Problem 53

Convert the decimal to a percent. $$1.014$$

Short Answer

Expert verified

101.4%

Step by step solution

Understanding the Decimal

The number given is 1.014, which is a decimal. Converting decimals to percents involves multiplying the number by 100.

Multiply by 100

To convert 1.014 to a percent, multiply it by 100: decimal $*$ 100 = percent So, 1.014 $*$ 100 = 101.4

Add the Percent Symbol

After multiplying by 100, add a percent symbol (%) to the result. Therefore, 101.4$%$ is the percent form of 1.014.

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.

Multiplying Decimals

Multiplying decimals can initially feel a bit tricky, but with some practice, it becomes straightforward. Whenever you multiply a decimal by 100, you're effectively moving the decimal point two places to the right.
For example:
$1.014 * 100 = 101.4$.
Think of it this way:

Step 1: Identify the decimal point in the given number.
Step 2: Move that decimal point two places to the right.

Each move to the right increases the value of the number 10 times. So in our example:
$1.014$ initially has the decimal point after the first digit (1).
After moving it two places to the right, we end up with $101.4$.

Multiplying by 100 is a fast way to convert a decimal into a percent. Just don't forget about the new position of the decimal point!

Percentage Calculation

Calculating percentages often involves using simple multiplication or division. In our case, converting a decimal to a percent primarily involves multiplying by 100.
Let's break this down:

Step 1: Take the original decimal number (like 1.014).
As decimals represent parts of whole numbers, 1.014 actually represents 101.4-out-of-100 when converted to a percentage.

By understanding this, it鈥檚 easy to see why multiplying by 100 shifts the decimal two places to the right. It essentially scales the number as a fraction of 100.
After performing the multiplication for our example, we get:
$1.014 * 100 = 101.4$.
The result, 101.4, represents the percentage value.

Adding Percent Symbol

The final step in the conversion process is to add the percent symbol (%).
This symbol signifies that the number we have is a percentage, a representation of a part out of 100.
After multiplying 1.014 by 100 to get 101.4, we signal that this number is in percent form:

Step 1: Take the product (101.4).
Step 2: Attach the '%' symbol to indicate percent.

So, $101.4$ becomes $101.4\%\text{.}$.
It鈥檚 a straightforward step but crucial for clarity. Always finish your decimal-to-percent conversions by adding that percent symbol to avoid any confusion.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Convert the decimal to a percent. $$1.014$$

Short Answer

Step by step solution

Understanding the Decimal

Multiply by 100

Add the Percent Symbol

Key Concepts

Multiplying Decimals

Percentage Calculation

Adding Percent Symbol

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Decision Maths

Geometry

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.