/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 63 \(2.9 \mathrm{~m}+40 \mathrm{~mm... [FREE SOLUTION] | 91Ó°ÊÓ

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\(2.9 \mathrm{~m}+40 \mathrm{~mm}\)

Short Answer

Expert verified
2.94 meters

Step by step solution

01

Convert Units

Before we can add the measurements together, they need to be in the same unit. Let's convert 40 mm into meters. There are 1000 millimeters in a meter, so we divide 40 mm by 1000.\[40 \text{ mm} = \frac{40}{1000} = 0.04 \text{ m}\]
02

Add the Converted Values

Now that both measurements are in meters, we can add them together. Add 2.9 meters and 0.04 meters:\[2.9 \text{ m} + 0.04 \text{ m} = 2.94 \text{ m}\]
03

Final Result

The sum of 2.9 meters and 40 millimeters is 2.94 meters.

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Key Concepts

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

Measurement
Measurement is the process of determining the size, length, or amount of something, typically using standard units. It helps us describe the world with precision. When measuring something, it is important to use the correct unit of measurement to ensure accuracy. For instance, in the given exercise, we deal with meters and millimeters. Understanding different units and their conversions is essential. Here, meters and millimeters both measure length but represent different scales. A meter is a standard unit in the metric system, while a millimeter is far smaller. Using a standard unit system, like metric, helps avoid confusion. It ensures that everyone is talking about the same amounts, regardless of their language or country. Remember always to verify the units before performing any addition or calculation.
Addition
Addition is a fundamental arithmetic operation, representing the process of bringing two or more numbers together to make a new total. When adding measurements, consistency in units is crucial; otherwise, the sum won't make sense. In the context of measurements, addition requires precise unit alignment. You can only add measurements when they are expressed in the same unit, like converting millimeters to meters as seen in the exercise. This might seem obvious, but it is an important step that ensures meaningful results. Conducting proper addition, as demonstrated:
  • Align the units by conversion.
  • Add the numerical values directly.
  • Always recheck unit consistency and conversion accuracy.
These steps guarantee accurate measurement and an understanding of the result.
Metric System
The metric system is a universal language of measurement used worldwide. It simplifies communication by using decimal-based units, making conversion straightforward. This unified approach aids in science, technology, and everyday life. The metric system includes units such as meters, grams, and liters, each with their own sub-units (e.g., millimeters, milligrams). It uses the base-10 system, which means conversions are often just shifts in the decimal point. For example, converting millimeters to meters involves dividing by 1000 or moving the decimal point three places to the left. Benefits of the metric system include its simplicity and universality:
  • Easy conversions with a standardized process.
  • Consistency across different areas, reducing errors.
  • Global standardization, facilitating international trade and communication.
By understanding and mastering the metric system, you can easily navigate and excel in various quantitative tasks.

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Most popular questions from this chapter

There are a number of factors that determine the dimensions of a rectangular soccer field. Use the table below to answer $$\begin{array}{|l|c|c|} \hline & \text{ Soccer Field Width and Length } \\ \hline Age & \text{Width Min-Max} & \text{Length Min-Max} \\ \hline \text{Under } 6/7: & 15-20 \text{ yards} & 25-30 \text{ yards} \\ \hline \text{Under } 8: & 20-25 \text{ yards} & 30-40 \text{ yards} \\ \hline \text{Under } 9: & 30-35 \text{ yards} & 40-50 \text{ yards} \\ \hline \text{Under } 10: & 40-50 \text{ yards} & 60-70 \text{ yards} \\ \hline \text{Under } 11: & 40-50 \text{ yards} & 70-80 \text{ yards} \\ \hline \text{Under } 12: & 40-55 \text{ yards} & 100-105 \text{ yards} \\ \hline \text{Under } 13: & 50-60 \text{ yards} & 100-110 \text{ yards} \\ \hline \text{International}: & 70-80 \text{ yards} & 110-120 \text{ yards} \\ \hline \end{array}$$ a. Find the minimum length and width of a soccer field for 8-year-old children. (Carefully consider the age.) b. Find the perimeter of this field.

Convert as indicated. When necessary, round to the nearest tenth of a degree. \(80^{\circ} \mathrm{C}\) to degrees Fahrenheit

Perform the indicated operations. \(10 \div 2+9(8)\)

Solve. Remember to insert units when writing your answers. $$ \begin{array}{|l|c|c|c|c|} \hline & \text { Meters } & \text { Millimeters } & \text { Kilometers } & \text { Centimeters } \\ \hline \text { Length of elephant } & 5 & & & \\ \hline \end{array} $$

Convert as indicated. When necessary, round to the nearest tenth of a degree. At Mack Trucks' headquarters, the room temperature is to be set at \(70^{\circ} \mathrm{F},\) but the thermostat is calibrated in degrees Celsius. Find the temperature to be set.

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