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Chapter 6: Problem 28

Change 65 meters to millimeters.

Short Answer

Expert verified
65 meters is 65,000 millimeters.

Step by step solution

01

Understanding Unit Conversion

In this problem, we need to convert meters into millimeters. The important information to remember is the conversion factor: 1 meter is equal to 1000 millimeters. This means each meter needs to be multiplied by 1000 to change it into millimeters.
02

Applying the Conversion Factor

Since 1 meter equals 1000 millimeters, we need to multiply the number of meters (65) by the conversion rate (1000). This will give us the total length in millimeters.
03

Perform the Calculation

Now, let's do the multiplication: \[ 65 \text{ meters} \times 1000 \frac{\text{millimeters}}{\text{meter}} = 65000 \text{ millimeters} \]This multiplication gives us the equivalent length in millimeters.

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Key Concepts

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

Metric System
The metric system is a simple and universally accepted measurement system used by most countries around the world. It is based on powers of ten, which makes scaling units up and down straightforward.
In the metric system, each unit is derived from the base units like meters, liters, and grams. For example, the meter is the primary unit of length. As such, conversions within this system are easier to grasp and execute. For example,
  • kilometers, which represent 1000 meters,
  • centimeters, which equate to 0.01 meters,
  • and millimeters, which are 0.001 meters.
This uniformity is why the metric system is preferred for scientific and international applications.
Measurement Conversion
Measurement conversion is the process of changing measurements from one unit to another. This is especially important when you are working with different measurement systems or within the same system but using different scales. In this exercise, we focus on converting meters to millimeters.
To perform this conversion, it's crucial to know the conversion factor, which, in this case, is the number of millimeters in a meter: 1000. To convert a measurement:
  • Identify the unit you have and the unit you want.
  • Find the conversion factor between these units.
  • Multiply the measurement by the conversion factor.
When you know these steps, you can convert between units confidently and efficiently. In our example, by multiplying 65 meters by 1000, we changed it to millimeters.
Multiplication
Multiplication is a mathematical operation that combines groups of equal size. In the context of unit conversion, multiplication helps us scale up a measurement from one unit to another.
In this problem, the goal is to find out how many millimeters are in 65 meters. Since there are 1000 millimeters in each meter, multiplying 65 by 1000 gives us the result. The multiplier here鈥�1000鈥攊s our conversion factor.
To visualize:
  • Consider each meter as a group of 1000 millimeters.
  • When you have 65 such groups, you have 65 multiplied by 1000 millimeters.
  • This gives a total of 65000 millimeters.
Multiplication helps us convert and compare quantities on a larger scale using a simple arithmetic operation.

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