/*! 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 89 What number is halfway between -... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 89

What number is halfway between -47.26 and -47.27?

Short Answer

Expert verified
-47.265

Step by step solution

01

- Identify the two numbers

The two numbers given in the problem are -47.26 and -47.27.
02

- Find their average

To find the number halfway between -47.26 and -47.27, calculate their average. The formula for the average of two numbers is \[ \text{Average} = \frac{\text{Number 1} + \text{Number 2}}{2} \]. Substituting the given numbers: \[ \text{Average} = \frac{-47.26 + (-47.27)}{2} = \frac{-47.26 - 47.27}{2} = \frac{-94.53}{2} = -47.265 \]

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.

Calculating Averages
Calculating the average of two numbers is like finding the middle point between them. This is especially useful for numbers that are close together, such as -47.26 and -47.27.

To find the average, you use the formula: \[ \text{Average} = \frac{\text{Number 1} + \text{Number 2}}{2} \]
Let's break it down step by step:

  • Add the two numbers together: (\-47.26 + \-47.27).
  • Since they are both negative, you can think of adding them like making the negative number larger: (\thorne: -47.26 - 47.27)
  • Sum results in -94.53.

Next, you divide the sum by 2: \[ \frac{-94.53}{2} \]
So, the average of -47.26 and -47.27 is -47.265.

This number is halfway between the two given numbers. That's how you calculate an average. Simple and easy!
Negative Numbers
Negative numbers can be a bit confusing at first, but they follow the same arithmetic rules as positive numbers. Let鈥檚 explore a few key points:
When you add two negative numbers together, you actually move further back on the number line, away from zero.

Let's take the example of -47.26 and -47.27:
  • When you add these two, think of moving left on the number line for both values.
  • This gets you to -94.53, which is more negative.


Dividing a negative number by a positive number, such as \[ \frac{-94.53}{2} \], keeps the result negative. Here: -47.265.

Remember, dealing with negatives is like working with positive numbers but in the opposite direction on the number line.
Basic Arithmetic
Basic arithmetic includes operations like addition, subtraction, multiplication, and division. These are the building blocks for all the math you'll encounter.

To find a midpoint, you'll mostly use addition and division, but understanding how all operations work can ensure you don鈥檛 make mistakes.
  • Addition: Combining two numbers to get a total.
  • Subtraction: Finding the difference between numbers. It can be thought of as 鈥榯aking away鈥�.
  • Multiplication: It's repeated addition. For instance, 3 x 4 is the same as adding 3 four times.
  • Division: It's splitting a number into equal parts. For instance, 10/2 means splitting 10 into 2 parts, which results in 5 per part.

In our problem, we used addition and division:
  • Add: -47.26 and -47.27.
  • Divide: the sum by 2 to find the midpoint.

Solid understanding of these basic operations helps in solving more complex 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

How does the length of a radius of a circle compare to the length of a diameter?

For Exercises \(59-66,\) simplify the expressions. $$-0.2^{2}$$

Firestone tires cost \(\$ 50.20\) each. A set of four Lemans tires costs \(\$ 197.99 .\) How much can a person save by buying the set of four Lemans tires compared to four Firestone tires?

Which number is between 42.73 and 42.86? Circle all that apply. a. 42.81 b. 42.64 c. 42.79 d. 42.85

For Exercises \(59-66,\) simplify the expressions. $$(0.2)^{3}$$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.