/*! 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 26 \(-\frac{3}{8}\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 26

\(-\frac{3}{8}\)

Short Answer

Expert verified
This exercise presents a negative fraction \(-\frac{3}{8}\). The task requires understanding of negative numbers and fractions but doesn't ask for any additional operations or problem solving. Thus the number itself, \(-\frac{3}{8}\), is the answer.

Step by step solution

01

Understanding the Negative Sign

The negative sign in front of the fraction implies that this is a negative number. Negative numbers are less than zero and are the opposite of positive numbers.
02

Understanding the Fraction

The fraction \(-\frac{3}{8}\) represents a part of a whole. This fraction means that the whole has been divided into 8 equal parts and we are considering 3 of them. The negative sign still applies, indicating that this is a 'negative part' or 'below zero'.

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.

Negative Numbers
Negative numbers are numbers that are less than zero. They are used to represent values below or opposite a reference point, such as zero.
In mathematics, the negative sign "-" in front of a number indicates that the number is negative.
This means a negative number is always positioned to the left side of zero on the number line.
  • Negative numbers can represent losses, debts, or values below a reference level.
  • They are often used in contexts like temperatures below freezing, altitudes below sea level, or any situation that reflects a deficit.
When dealing with fractions, if the fraction has a negative sign, like \(-\frac{3}{8}\), it indicates the fraction is a negative part, not the whole being negative.
Parts of a Whole
A fraction represents parts of a whole or a division of something into equal parts.
The top number, called the numerator, indicates how many parts are being considered.
The bottom number, known as the denominator, shows how many equal parts the whole is divided into.
  • If you have a fraction like \(\frac{3}{8}\), this tells us that the whole is divided into 8 equal parts, and we are considering 3 of these parts.
  • Fractions can be used in various contexts, such as dividing a pizza into slices, measuring ingredients for a recipe, or assessing portions in statistics.
Fractions can be greater than, equal to, or less than one, indicating the part's size compared to the whole.
The key is to remember that regardless of the fraction's size, it defines specific parts of a defined whole.
Fraction Representation
Fraction representation involves understanding how fractions are displayed and interpreted.
A fraction consists of a numerator (top number) and a denominator (bottom number).
This helps in knowing not just how many parts are taken but also what those parts mean regarding the whole.
  • Positive fractions, like \(\frac{3}{8}\), denote a portion of a whole.
  • Negative fractions, like \(-\frac{3}{8}\), indicate a portion that is considered in a negative context, such as a deficit or a counterbalance.
  • The placement of the negative sign is crucial; it can be placed before the numerator, denominator, or the entire fraction, but the meaning remains the same.
Understanding fraction representation is essential for accurately expressing quantities and performing arithmetic operations such as addition, subtraction, multiplication, and 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

\((14-17) \cdot(13-19)\)

\(25-32 \div 4\)

\(-7(5-2) \neq-7(5)-7(2)\)

\(-(-6)^{3}\)

\(\frac{8}{0} \neq 0\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Mechanics Maths

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.