/*! 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 36 Convert to percent notation. $... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 36

Convert to percent notation. $$ 1.05 $$

Short Answer

Expert verified
105%

Step by step solution

01

Understand the concept of percent

Percent means 'per one hundred.' To convert a decimal to a percent, you need to express it as a fraction of 100 and then simplify if necessary.
02

Multiply by 100

To convert the decimal number 1.05 to a percent, multiply it by 100: \( 1.05 \times 100 = 105 \)
03

Add the percent sign

After multiplying by 100, add the percent sign (%) to the result: \( 105 \% \)

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 to Percent Conversion
Converting a decimal to a percent is a common task in math, and it's simpler than you might think. Percent means 'per hundred,' so to convert a decimal to a percent, you basically need to express it as a fraction of 100.

Here's how it works: when you have a decimal number, you need to convert it to something out of 100. Let鈥檚 say you have the decimal number 1.05.
  • First, you multiply 1.05 by 100 to change it to a percent.
  • Next, you write the resulting number with a percent sign.

This means that 1.05 as a decimal becomes 105% when converted to a percentage.
Multiplication by 100
When converting a decimal to a percent, one crucial step is multiplying by 100. This step adjusts the decimal into the correct percent format.

Here's why it鈥檚 necessary:
  • Multiplying by 100 shifts the decimal point two places to the right.
  • This change effectively scales the number up to a form that鈥檚 easy to understand as a percentage.

For instance, let鈥檚 take 1.05. If you multiply 1.05 by 100, you get: \(1.05 \times 100 = 105\).
This operation transforms our original decimal into the number 105, which is our percentage before adding the percent sign.
Percent Sign
After converting your decimal to a numerical percentage, the final step is to add the percent sign (%). This symbol is essential because it indicates that the number is a percentage and not just a regular decimal or whole number.

Here鈥檚 a quick rundown:
  • Take your converted number from the previous step, in our case, 105.
  • Attach the percent sign directly after the number with no spaces.

So, after multiplying 1.05 by 100 to get 105, the last thing you do is write it as 105%. This percent sign clearly shows that 105 out of 100 parts is the complete value.

That鈥檚 all there is to it! You鈥檝e successfully converted the decimal 1.05 to its correct percent form: 105%.

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

Are the inequalities \(x>-3\) and \(x \geq-2\) equivalent? Why or why not?

Solve using the addition and multiplication principles. $$ \frac{2}{3}(2 x-1) \geq 10 $$

Use an inequality and the five-step process to solve each problem. Rhetoric Advertising is a directmail company. It determines that for a particular campaign, it can use any envelope with a fixed width of \(3 \frac{1}{2}\) in. and an area of at least \(17 \frac{1}{2}\) in \(^{2} .\) Determine (in terms of an inequality) those lengths that will satisfy the company constraints.

Use an inequality and the five-step process to solve each problem. One side of a triangle is \(2 \mathrm{cm}\) shorter than the base. The other side is \(3 \mathrm{cm}\) longer than the base. What lengths of the base will allow the perimeter to be greater than \(19 \mathrm{cm} ?\)

Use an inequality and the five-step process to solve each problem. The formula \(R=-0.0026 t+4.0807\) can be used to predict the world record, in minutes, for the 1500 -m run tyears after \(1900 .\) Determine (in terms of an inequality) those years for which the world record will be less than \(3.8 \mathrm{min}\)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

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.