Problem 19 Complete. Do as much as possible... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 8: Problem 19

Complete. Do as much as possible mentally. 6.88 m =______ cm

Short Answer

Expert verified

688 cm

Step by step solution

- Understand the Conversion Factor

To convert meters (m) to centimeters (cm), recall that 1 meter is equal to 100 centimeters.

- Set Up the Conversion

Given the value in meters (6.88 m), multiply by the conversion factor (100 cm/m).

- Perform the Multiplication

Multiply 6.88 by 100: displaying a detailed multiplication as follows: 6.88 脳 100 = 688.

- Write the Final Answer

After the multiplication, the result is in centimeters: 6.88 m = 688 cm.

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Key Concepts

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

meters to centimeters

One fundamental concept in the metric system is converting between different units of length. In this case, we are converting meters to centimeters.
The key thing to remember is that 1 meter is equal to 100 centimeters. This means if you have a length measured in meters, you can find the equivalent length in centimeters by multiplying the number of meters by 100.
For example, if you have 2 meters, you multiply 2 by 100 to get 200 centimeters. Similarly, if you have 6.88 meters, you multiply 6.88 by 100 to get 688 centimeters. Knowing this rule helps simplify many everyday calculations and ensures precision in measurement.

unit conversion

Unit conversion is a critical skill in math and science. It allows us to switch from one measurement unit to another, ensuring that our data is consistent and understandable.
To convert units, you typically multiply or divide by a conversion factor. For length in the metric system, units include meters, centimeters, millimeters, and kilometers.
The conversion factor between meters and centimeters is 100, as there are 100 centimeters in a meter. This means when converting from meters to centimeters, you multiply by 100. Conversely, when converting from centimeters to meters, you divide by 100.

multiplication in metric system

Understanding multiplication in the metric system is crucial for accurate conversion. The metric system uses base-10, making it very straightforward.
To convert meters to centimeters, we use the conversion factor 100. This is essentially multiplying by 10 twice (since 100 = 10 脳 10).
For example, if you have 6.88 meters, you perform the multiplication 6.88 脳 100. In mathematical terms, this translates to moving the decimal point two places to the right, making it 688.
The consistency and simplicity of the metric system facilitate learning and application, whether in homework, scientific work, or daily life measurements.

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91影视

Complete. Do as much as possible mentally. 6.88 m =______ cm

Short Answer

Step by step solution

- Understand the Conversion Factor

- Set Up the Conversion

- Perform the Multiplication

- Write the Final Answer

Key Concepts

meters to centimeters

unit conversion

multiplication in metric system

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