/*! 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 18 Complete. Do as much as possible... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 18

Complete. Do as much as possible mentally. 6.27 mm = ______m

Short Answer

Expert verified
0.00627 m

Step by step solution

01

Understand the Conversion Factor

To convert millimeters to meters, remember that 1 meter is equal to 1000 millimeters.
02

Set Up the Conversion

Set up the conversion using the relation: \[1 \text{ mm} = \frac{1}{1000} \text{ m}\]
03

Perform the Calculation

Multiply the given millimeter value by the conversion factor: \[6.27 \text{ mm} = 6.27 \times \frac{1}{1000} \text{ m}\]
04

Simplify the Expression

Simplify the result from the multiplication: \[6.27 \times \frac{1}{1000} = 0.00627 \text{ m}\]

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.

metric conversion
When working with the metric system, understanding the various units and their relationships is essential. The metric system is based on powers of ten, making it very straightforward for conversions. For example, 1 meter consists of 1000 millimeters. This means to convert millimeters to meters, you need to divide by 1000. Knowing these basic relationships helps you easily perform metric conversions.
unit conversion
Units help measure different quantities like length, mass, and volume. Converting between units means changing a quantity expressed in one unit to its equivalent in another. To convert millimeters to meters:
  • Recognize that 1 meter equals 1000 millimeters.
  • Set up the conversion using the relation: \(1 \text{ mm} = \frac{1}{1000} \text{ m}\).
This ensures you are using the correct factor to switch between units.
multiplication in conversions
Many conversions require simple multiplication or division. To convert millimeters to meters, you multiply by the factor \(\frac{1}{1000}\). For instance, to convert 6.27 mm to meters:
  • Multiply 6.27 by \(\frac{1}{1000}\). The expression becomes: 6.27 mm = 6.27 \times \frac{1}{1000} m\.
Multiplication simplifies understanding how the value scales when switching units.
decimal simplification
After performing the multiplication in a conversion, the result often needs simplification. For example, when converting 6.27 mm to meters:
  • After multiplying 6.27 by \(\frac{1}{1000}\), you get 0.00627 m.
  • Simplifying decimals helps express values in a more understandable and precise way.
Try to get comfortable with moving the decimal point, especially in powers of ten.

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

\(0.401 \mathrm{~mL}=\) __________ \(\mathrm{L}\)

\(87 \mathrm{~L}=\) __________ \(\mathrm{mL}\)

\(5 \mathrm{gal}=\) __________ qt

Solve. $$ 3.5 \cdot q=0.2142 $$

Complete. 18,000 sec = ________hr
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Pure Maths

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.