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Chapter 8: Problem 33

Complete. Do as much as possible mentally. 6.88 m = ______dam

Short Answer

Expert verified
0.688 dam

Step by step solution

01

Understand the unit conversion

To convert meters (m) to decameters (dam), recall that 1 decameter (dam) is equal to 10 meters (m).
02

Set up the conversion

To convert 6.88 meters to decameters, use the conversion factor: \[1 \text{ dam} = 10 \text{ m}\]
03

Perform the conversion

Divide 6.88 meters by 10 to get the number of decameters: \[6.88 \text{ m} \div 10 = 0.688 \text{ dam}\]

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Key Concepts

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

meters to decameters conversion
Converting meters to decameters is a simple yet important concept in the metric system. To understand this conversion, remember that 1 decameter (dam) is equal to 10 meters (m). This relationship helps in scaling measurements up or down.
For example, to convert 6.88 meters to decameters, you need to divide the number of meters by 10 because each decameter contains 10 meters. This can be visualized as:
6.88 meters is the same as having 6 full sets of 10 meters and some extra meters. When you divide 6.88 by 10, you get 0.688 dam.
metric system
The metric system is a standardized system of measurement used worldwide for scientific and everyday measurements. It is based on powers of 10, making it straightforward and easy to use. Here are some key features of the metric system:
  • Base units are meters for length, liters for volume, and grams for weight.
  • Prefixes represent different magnitudes: kilo- (1000), hecto- (100), deca- (10), deci- (0.1), centi- (0.01), and milli- (0.001).
Understanding and using the metric system allows for easier conversions and consistency across various fields such as science, engineering, and daily life. By knowing that 1 meter = 0.1 decameters, or conversely, 1 decameter = 10 meters, you can quickly make conversions mentally or with minimal calculation.
division in unit conversion
Division is a key operation in unit conversion, especially when working within the metric system. When converting from a smaller unit to a larger unit, you divide by the conversion factor.
For instance, in the exercise of converting 6.88 meters to decameters, you divide the amount in meters by 10 since there are 10 meters in one decameter. This is shown in the following way:
\[6.88 \text{ m} \div 10 = 0.688 \text{ dam}\]
By understanding how and when to use division, you can quickly convert between different units of measurement with ease and accuracy. This is particularly useful in scientific calculations where precision matters.

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