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Chapter 8: Problem 6

Complete. Do as much as possible mentally. a) 1 mm =______ m b) 1 m =______ mm

Short Answer

Expert verified
a) 0.001 m, b) 1000 mm

Step by step solution

01

Understand the Metric Prefixes

Know that 'mm' stands for millimeters and 'm' stands for meters. The prefix 'milli-' means one-thousandth, which is 0.001.
02

Convert Millimeters to Meters (a)

To convert 1 millimeter to meters, multiply 1 mm by the conversion factor 0.001. So, 1 mm = 1 * 0.001 m.
03

Confirm the Calculation (a)

1 mm = 0.001 meters.
04

Convert Meters to Millimeters (b)

To convert 1 meter to millimeters, multiply 1 meter by the conversion factor 1000 because there are 1000 millimeters in 1 meter.
05

Confirm the Calculation (b)

1 meter = 1000 millimeters.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Metric System
The metric system is a decimal-based system of measurement. This means that everything is based on powers of 10, making conversions straightforward. It is used globally, making it important to understand.
  • 'Milli-' means one-thousandth (0.001).
  • 'Centi-' means one-hundredth (0.01).
  • 'Kilo-' means one-thousand (1000).
Using these prefixes makes it easy to convert units by simply shifting the decimal point.
Converting Millimeters to Meters
When converting millimeters (mm) to meters (m), you need to understand that a millimeter is much smaller than a meter.
Since 'milli' denotes 0.001 of a unit, 1 millimeter equals 0.001 meters. To convert from millimeters to meters, multiply the number of millimeters by 0.001.
For example, converting 1 mm to meters involves this calculation:
ewline ewline ewline ewline ewline ewline 1 mm * 0.001 = 0.001 m.
Converting Meters to Millimeters
Converting meters to millimeters involves understanding how much larger a meter is compared to a millimeter.
Since there are 1000 millimeters in a meter, to convert meters to millimeters, you multiply the number of meters by 1000.
For instance, converting 1 meter to millimeters involves this calculation:
ewline ewline 1 m * 1000 = 1000 mm.

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