Chapter 2: Problem 28

Express the distance \(24,000,000,000 \mathrm{~m} \pm 100\) million \(\mathrm{m}\) using the appropriate Greek prefix.

Short Answer

Expert verified

The given distance can be expressed as \(24\ \mathrm{G}\mathrm{m} \pm 0.1\ \mathrm{G}\mathrm{m}\) using the appropriate Greek prefix (Giga).

Step by step solution

Identify the Appropriate Greek Prefix

For expressing large distances, Greek prefixes can make the numbers more manageable. The standard Greek prefixes used for distances are: - Kilo (k): \(1,000\ \mathrm{m}\) - Mega (M): \(1,000,000\ \mathrm{m}\) - Giga (G): \(1,000,000,000\ \mathrm{m}\) - Tera (T): \(1,000,000,000,000\ \mathrm{m}\) In this case, the given distance is \(24,000,000,000\ \mathrm{m}\), which can be written as \(24 \times 1,000,000,000\ \mathrm{m}\). Since the value is in billions, we will use the prefix Giga (G).

Convert the Distance to Giga Meters

Now that we have identified the appropriate Greek prefix (Giga), we can rewrite the distance in Giga meters. We know that \(1\ \mathrm{G}\mathrm{m} = 1,000,000,000\ \mathrm{m}\). So, we can write: Distance = \(24,000,000,000\ \mathrm{m}\ \pm 100\ \mathrm{million}\ \mathrm{m}\) Dividing both the values by \(1,000,000,000\), we get: Distance = \(24\ \mathrm{G}\mathrm{m} \pm 0.1\ \mathrm{G}\mathrm{m}\) So, the given distance can be expressed as \(24\ \mathrm{G}\mathrm{m} \pm 0.1\ \mathrm{G}\mathrm{m}\) using the appropriate Greek prefix.

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Express the distance \(24,000,000,000 \mathrm{~m} \pm 100\) million \(\mathrm{m}\) using the appropriate Greek prefix.

Short Answer

Step by step solution

Identify the Appropriate Greek Prefix

Convert the Distance to Giga Meters

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