/*! 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 29 Write decimal notation for each ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 29

Write decimal notation for each number. $$ -\frac{7}{6} $$

Short Answer

Expert verified
-1.1667

Step by step solution

01

Understand Fraction to Decimal Conversion

To convert a fraction to decimal notation, divide the numerator (top number) by the denominator (bottom number). Here, the numerator is -7 and the denominator is 6.
02

Perform the Division

Divide -7 by 6. This can be done by long division or using a calculator. Performing the division gives us approximately -1.1667.
03

Write the Decimal Notation

After performing the division, write the result in decimal form. So, -7/6 is approximately -1.1667.

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.

Understanding Numerator and Denominator
In any fraction, the top number is known as the numerator, and the bottom number is called the denominator. For example, in the fraction \(-\frac{7}{6}\), the numerator is -7 and the denominator is 6. The numerator represents the number of parts we are considering, while the denominator shows the total number of equal parts the whole is divided into. So, in \(-\frac{7}{6}\), we are taking 7 parts out of a whole that is divided into 6 equal parts. This setup is crucial to understand when converting a fraction to a decimal.
Using Long Division for Fraction to Decimal Conversion
Long division is a method used to divide larger numbers that cannot be easily divided mentally or with a simple equation. To turn a fraction into a decimal using long division, we divide the numerator by the denominator. With our example \(-\frac{7}{6}\), we need to divide -7 by 6. Start by seeing how many times 6 fits into 7, which is once. Subtract 6 from 7 to get 1. Then, bring down a 0 to make it 10 and see how many times 6 fits into 10, which is again once, and repeat this process. This gives us the decimal -1.1667. Understanding long division helps make sense of how fractions are turned into decimals step-by-step.
Decimal Notation Explained
Once you have divided the numerator by the denominator, you will get a decimal number. Decimal notation represents numbers in base-10 format, which is the standard system for denoting integer and non-integer numbers. In our example, dividing -7 by 6 gives us -1.1667. In decimal notation, -1.1667 means we have 1 whole part and a little over 0.16 of another part. By using decimals, we can express fractions and parts of whole numbers clearly and accurately. Decimals make it easier to perform arithmetic operations and compare values in different contexts.

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

Simplify. $$ -7 t^{3}-t^{2}-3\left(5 t^{3}-3 t\right) $$

Evaluate. $$ \frac{a^{3}-4 a}{a(a-3)}, \text { for } a=-2 $$

Translate to an algebraic expression.[ 1.1] Nine more than twice a number

Brianna insists that if you can add real numbers, then you can also subtract real numbers. Do you agree? Why or why not?

A gambler loses a wager and then loses "double or nothing" (meaning the gambler owes twice as much) twice more. After the three losses, the gambler's assets are \(-\$ 20 .\) Explain how much the gambler originally bet and how the \(\$ 20\) debt occurred.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.