/*! 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 21 Convert to decimal notation. $... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 21

Convert to decimal notation. $$ 0.7 \% $$

Short Answer

Expert verified
0.0007

Step by step solution

01

Understand Percent Notation

Percent means 'per hundred.' So, 0.7% means 0.7 per hundred or \ \( \frac{0.7}{100} \).
02

Convert Percent to Fraction

Convert 0.7% to a fraction: \ \( \frac{0.7}{100} \).
03

Simplify the Fraction

To simplify \( \frac{0.7}{100} \), move the decimal point two places to the right in both the numerator and denominator to get \( \frac{7}{10000} \).
04

Convert the Fraction to Decimal

Convert the fraction \( \frac{7}{10000} \) to a decimal by dividing 7 by 10000, which equals 0.0007.

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.

percent to decimal
Converting a percent to a decimal is a common task in math. A percent is a fraction of 100. Understanding the 'percent' means looking at the term itself: 'per' means 'for each' and 'cent' means 'hundred.'
So, when you see 0.7%, it means 0.7 per hundred.
To convert any percent to a decimal, follow these steps:
1. Divide the percent by 100.
For example, convert 0.7% to a decimal:
\[ \frac{0.7}{100} = 0.007 \]
By dividing, you effectively move the decimal point two places to the left.
fraction simplification
Simplifying fractions means reducing them to their simplest form. This is done by making sure the numerator (top number) and the denominator (bottom number) have no common factors other than 1.
When dealing with a fraction like \( \frac{0.7}{100} \), we can simplify it for easier use:
1. Move the decimal in the numerator to the right to get rid of it. For every move, add a zero to the denominator:
\[ \frac{0.7}{100} = \frac{7}{1000} \]
This shows a clearer representation of the number. You see that 7 and 1000 have no common factors other than 1, so the fraction is already simplified.
basic arithmetic
Basic arithmetic forms the foundation of all math problems. Basic arithmetic includes:
- Addition (+)
- Subtraction (-)
- Multiplication (脳)
- Division (梅)
For converting fractions to decimals, we primarily use division. For example, to turn the fraction \( \frac{7}{10000} \) into a decimal, divide 7 by 10000:
\[ 7 梅 10000 = 0.0007 \]
This simple division gives you the decimal form.
Reinforcing these basic arithmetic skills is essential. They help you in bigger, more complex math problems.

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

Translate to an inequality. The credit-card debt of the average college freshman is at least \(\$ 2000 .\)

Review operations with real numbers. Simplify. $$ (3-7)-(4-8) $$

To prepare for Section 2.5, review translating to algebraic expressions and equations. Translate to an algebraic expression or equation. 10 more than three times a number

Review operations with real numbers. Simplify. $$ \frac{1}{2} \div\left(-\frac{3}{4}\right) $$

To prepare for Section 2.5, review translating to algebraic expressions and equations. Translate to an algebraic expression or equation. The community of Bardville has 1332 left-handed females. If \(48 \%\) of the community is female and \(15 \%\) of all females are left-handed, how many people are in the community?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

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.