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Chapter 8: Problem 10

Complete. Do as much as possible mentally. 0.789 cm =______ m

Short Answer

Expert verified
0.00789 m.

Step by step solution

01

- Understand the conversion factor

To convert centimeters to meters, use the conversion factor where 1 cm = 0.01 meters.
02

- Multiply by the conversion factor

Multiply 0.789 cm by 0.01 to convert to meters. This step scales down the value appropriately.
03

- Perform the multiplication

Calculate 0.789 \times 0.01 to get the result in meters: \(0.789 \times 0.01 = 0.00789\)
04

- Write the final answer

The result of the multiplication gives the final converted value in meters.

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Key Concepts

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

centimeters to meters
Converting from centimeters to meters is a common task in many math and science problems. Understanding this conversion is essential because these units are frequently used to measure length.

A centimeter (cm) is one hundredth of a meter, meaning that 100 centimeters equal 1 meter.

Thus, when you want to convert a measurement from centimeters to meters, you're essentially breaking it down to a smaller unit to a larger unit. This process involves using a specific conversion factor.
conversion factor
The conversion factor is a numerical value that allows you to convert one unit of measurement to another. For converting centimeters to meters, the conversion factor is 0.01. This means that 1 centimeter is equal to 0.01 meters.

To apply the conversion factor, you multiply your measurement in centimeters by 0.01.

For the given problem, we need to convert 0.789 cm to meters. So, we use the conversion factor 0.01 in the following way:

0.789 cm 脳 0.01 (meters per centimeter).

This method ensures that we correctly scale down the value from centimeters to meters. Always remember, converting up to a larger unit results in a smaller numerical value.
multiplication
The final step in our conversion process involves performing the actual multiplication. Multiplying your value by the conversion factor will give you the answer in the desired unit.

For instance, when we multiply 0.789 cm by 0.01, we calculate:
\[ 0.789 \times 0.01 = 0.00789 \]

This means that 0.789 cm equals 0.00789 meters.

Remember, use proper multiplication techniques to ensure the accuracy of your result. This multiplication step is crucial because it accounts for the difference in unit scales.

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