/*! 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 24 Convert to decimal notation. $... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 24

Convert to decimal notation. $$ 150 \% $$

Short Answer

Expert verified
150% in decimal notation is 1.5.

Step by step solution

01

Understand Percentages

Percentages represent parts per hundred. Specifically, 1% is equivalent to 1/100.
02

Set Up the Equation

Convert the percentage to a fraction. For instance, 150% can be written as 150/100.
03

Simplify the Fraction

Simplify the fraction 150/100 by dividing the numerator and the denominator by their greatest common divisor, which is 50. Therefore, \(150 \div 50 = 3\) and \(100 \div 50 = 2\). So, the fraction simplifies to 3/2.
04

Convert to Decimal Notation

Now, convert the fraction to a decimal. Divide the numerator by the denominator: \(3 \div 2 = 1.5\). Thus, 150% in decimal notation is 1.5.

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.

Percentages
When we talk about percentages, we are referring to a portion out of 100. The term 'percent' literally means 'per hundred'. For example, 1% simply means 1 out of 100.
So, if you have 150%, it means 150 out of 100. This notion is very useful in various fields like finance, statistics, and many more.
The keyword here is: it helps in making comparisons easier.
  • 1% = 1/100
  • 150% = 150/100
Fraction simplification
Fractions represent a part of a whole and simplifying them makes calculations easier. For any fraction, you can simplify it by dividing both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD).
In our example, the fraction is 150/100.
The GCD of 150 and 100 is 50.
So, we divide both numbers by 50, simplifying 150/100 to 3/2.
Simplifying fractions makes them more manageable and easier to work with.
  • Simplified: 150/100 = 3/2
Decimal notation
Decimals are a way to represent fractions using the base 10 system. To convert a fraction into a decimal, you divide the numerator by the denominator.
For the fraction 3/2, the division is:
\( \frac{3}{2} = 1.5 \)
Therefore, 3/2 in decimal form is 1.5. Knowing how to convert between fractions and decimals is key to handling numerical data efficiently.
  • 3/2 = 1.5
Basic arithmetic
Arithmetic forms the building block for all other math concepts. It includes operations like addition, subtraction, multiplication, and division.
Understanding these basic operations is crucial for solving more complex problems.
For instance, dividing the numerator by the denominator to convert a fraction into a decimal, like we did with 3/2, is a fundamental arithmetic operation.
Mastery of these basic operations makes it easier to understand more complex concepts.
  • Addition
  • Subtraction
  • Multiplication
  • Division

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

Use an inequality and the five-step process to solve each problem. Toni can be paid in one of two ways: Plan \(A:\) A salary of \(\$ 400\) per month, plus a commission of \(8 \%\) of gross sales; Plan \(B:\) A salary of \(\$ 610\) per month, plus a commission of \(5 \%\) of gross sales. For what amount of gross sales should Toni select plan A?

Use an inequality and the five-step process to solve each problem. The average price of a movie ticket can be estimated by the equation \(P=0.169 Y-333.04,\) where \(Y\) is the year and \(P\) is the average price, in dollars. For what years will the average price of a movie ticket be at least \(\$ 7 ?\) (Include the year in which the \(\$ 7\) ticket first occurs.

six people. One-third, one-fourth, one-eighth, and one-fifth of the apples are given to four people, respectively. The fifth person gets ten apples, and one apple remains for the sixth person. Find the original number of apples in the basket.

Use an inequality and the five-step process to solve each problem. Musclebound Movers charges \(\$ 85\) plus \(\$ 40\) per hour to move households across town. Champion Moving charges \(\$ 60\) per hour for crosstown moves. For what lengths of time is Champion more expensive?

Translate to an inequality. The age of the Mayan altar exceeds 1200 yr.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

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.