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Chapter 8: Problem 29

Complete. Do as much as possible mentally. 4500 mm = _______cm

Short Answer

Expert verified
450 cm

Step by step solution

01

Understand the relationship

Recall that 1 centimeter (cm) is equivalent to 10 millimeters (mm). This relationship will be used to convert millimeters to centimeters.
02

Setup the conversion

To convert from millimeters to centimeters, divide the number of millimeters by 10. In this case, you need to convert 4500 mm to cm.
03

Perform the division

Calculate the division: 4500 mm 梅 10 = 450 cm.

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Key Concepts

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

Converting Millimeters to Centimeters
To convert millimeters to centimeters, remember that there are 10 millimeters in one centimeter. This means you only need to divide the number of millimeters by 10.
This conversion is part of the basic metric system, and it's handy to learn not only for math problems but also in everyday life.
For example, let's take the exercise: converting 4500 millimeters to centimeters. You simply divide 4500 by 10, resulting in 450 centimeters.
So, 4500 mm equals 450 cm. This process is straightforward and can even be done mentally with a bit of practice.
Understanding The Metric System
The metric system is a decimal-based system of measurement used worldwide. Familiarizing yourself with this system can be particularly useful as it's used in most countries and in scientific contexts.
In the metric system, measurements are based on multiples of 10. This simplicity makes it easier to convert between units. For example:
  • 10 millimeters = 1 centimeter
  • 100 centimeters = 1 meter
  • 1000 meters = 1 kilometer
Each step up or down is just a matter of moving the decimal point. This is one reason why the metric system is popular for scientific and engineering work. Knowing how to convert units within this system can simplify many numerical problems.
Basic Mathematics for Unit Conversion
Unit conversions often involve basic mathematical operations like multiplication or division. In our example, converting millimeters to centimeters is done by division.
Specifically, when converting from a smaller unit to a larger one (millimeters to centimeters), you divide by the conversion factor (in this case, 10). Here鈥檚 a simple breakdown:
  • Identify the units you are working with (mm to cm).
  • Remember the conversion factor (10 mm in 1 cm).
  • Apply the appropriate operation (divide by 10).
These basic math skills are vital not only for unit conversions but also for understanding more complex mathematical and scientific concepts.
Practicing these conversions mentally can significantly improve your speed and accuracy in math.

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