/*! 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 31 Evaluate \(8 \mathrm{~km}+4 \mat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 31

Evaluate \(8 \mathrm{~km}+4 \mathrm{~m}\). Write the answer in meters.

Short Answer

Expert verified
8004 meters

Step by step solution

01

- Understand the Units Involved

The problem involves two different units: kilometers (km) and meters (m). To consolidate these, both quantities need to be in the same unit. Here, we will convert kilometers to meters.
02

- Convert Kilometers to Meters

Use the conversion factor that 1 kilometer is equal to 1000 meters. Thus, to convert 8 kilometers to meters, multiply by 1000:\[ 8 \text{ km} \times 1000 \frac{\text{m}}{\text{km}} = 8000 \text{ m} \]
03

- Add the Meters Together

Now both measurements are in meters. Add the converted kilometers (8000 meters) to the existing meters (4 meters):\[ 8000 \text{ m} + 4 \text{ m} = 8004 \text{ m} \]

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.

kilometers to meters conversion
When converting between kilometers and meters, we rely on the metric system's base units. A kilometer is a larger unit than a meter. Specifically, 1 kilometer is equal to 1000 meters. This conversion is straightforward. To convert kilometers into meters, simply multiply the number of kilometers by 1000.

For example, if you have 8 kilometers, you multiply 8 by 1000 to get 8000 meters. So:
  • 8 km 脳 1000 = 8000 m
This kind of conversion is very common and useful in various real-world situations, such as measuring distances for travel or in scientific calculations.

Always ensure you keep track of your units during conversions to avoid errors.
adding measurements
Adding measurements is a fundamental concept when dealing with quantities in the same unit. Once all quantities are converted to the same unit, the process becomes simple.

Let's say you have two measurements: 8000 meters and 4 meters. To combine these, you just add them together:
  • 8000 m + 4 m = 8004 m
This addition is straightforward because both quantities are now expressed with the same unit. Mixing units without conversion can lead to confusion and incorrect results.

Understanding this process is crucial for problem-solving in math, science, and everyday life. Always ensure that all measurements are in the same unit before performing addition or other operations.
metric system conversion
The metric system is an internationally agreed decimal system of measurement. It simplifies calculations and conversions through its use of base ten units.

Understanding the basics of metric conversions like kilometer to meter (1 km = 1000 m) is essential. Common metric units include:

  • Millimeters (mm)
  • Centimeters (cm, 1 cm = 10 mm)
  • Meters (m, 1 m = 100 cm)
  • Kilometers (km, 1 km = 1000 m)
Using these straightforward conversions, you can easily switch between units.

Practicing these conversions and understanding the relationships between metric units will build a strong foundation for more complex calculations you might encounter in science, engineering, and everyday tasks.

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

Given that \(\sqrt{9}=3\) and \(\sqrt{16}=4\), explain why \(\sqrt{10}\) must be between 3 and 4 .

Explain why \(0.3\) is a rational number.

\(\sqrt[3]{216}\)

Find the volume of a cylinder with a radius of \(8 \mathrm{in}\). and height of 15 in.

A furniture store bought a recliner from a wholesaler for \(\$ 150\). It then sold the recliner for \(\$ 499\). Find the percent markup. Round to the nearest percent.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Probability and 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.