/*! 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 100 Convert to an appropriate metric... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 100

Convert to an appropriate metric unit so that the numerical expression in the given measure does not contain any zeros. \(0.0002 \mathrm{~km}\)

Short Answer

Expert verified
\(0.0002 \mathrm{~km}\) is equivalent to \(0.2 \mathrm{~m}\).

Step by step solution

01

Understand metric units

The first step is to understand the various metric units and how they relate to each other. From larger to smaller, some of the most commonly used units of length in the metric system are kilometers (km), meters (m), centimeters (cm) and millimeters (mm) with the following relationships: 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm. Given that our original measurement is in kilometers, we need to convert it to one of the smaller units.
02

Convert km to other units and check for zeros

Next, convert the measurement from kilometers to the other units, and check for the presence of zeros in the numerical expression. Starting with meters, we know that 1 km = 1000m, so \(0.0002 \mathrm{~km}\) is \(0.0002 \times 1000 = 0.2 \mathrm{~m}\). Next, convert from meters to centimeters. Given that 1 m = 100 cm, so \(0.2 \mathrm{~m}\) is \(0.2 \times 100 = 20 \mathrm{~cm}\). As the numerical expression still contains zeros, consider a smaller unit, millimeters. From centimeters to millimeters, where 1 cm = 10 mm, so \(20 \mathrm{~cm}\) gives \(20 \times 10 = 200 \mathrm{~mm}\).
03

Choose the correct unit

In the previous step, we have converted the given measurement into three different units. According to the exercise, we have to select the unit that does not contain any zeros in the numerical expression. Observing the converted values, meters (0.2 m) is the only unit that does not have zero in its numerical expression. Hence, \(0.0002 \mathrm{~km}\) will be \(0.2 \mathrm{~m}\).

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!

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

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated.English and Metric Equivalents$$\begin{aligned}&1 \text { in. }=2.54 \mathrm{~cm} \\\&1 \mathrm{ft}=30.48 \mathrm{~cm} \\\&1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\\&1 \mathrm{mi} \approx 1.6 \mathrm{~km}\end{aligned}$$ \(26 \mathrm{~cm}\) to in.

A container of grapefruit juice has a volume of 4000 cubic centimeters. How many liters of juice does the container hold?

Exercises 83-84 give the average rainfall of some of the world's wettest places. In each exercise, determine which location has the greater average rainfall and by how many inches. Round to the nearest inch. Debundscha (Cameroon): 10,280 millimeters; Waialeale (Hawaii): 451 inches

Describe the two parts of a measurement.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I ran 2000 meters and you ran 2000 yards in the same time, so I ran at a faster rate.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

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.