University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 10CQ: For each of the following scenarios, refer to Figure 1.4 and Table 1.2 to determine which metric...
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![### Scientific Notation and Significant Figures: Example Calculation
**Question 5:**
_Give the answer in scientific notation and to the correct number of significant figures._
**Calculation:**
Given:
\( \frac{7860}{0.00001} = ? \)
**Step-by-Step Solution:**
Step 1: Perform the division.
\[ \frac{7860}{0.00001} = 786000000 \]
Step 2: Express the result in scientific notation.
\[ 786000000 = 7.86 \times 10^8 \]
Step 3: Adjust the number to have the correct number of significant figures.
The result rounded to 1 significant figure is:
\[ 8 \times 10^8 \]
Thus, the final answer in scientific notation with the correct significant figures is:
\[ 8 \times 10^8 \]
This example demonstrates the process of dividing numbers, converting the result to scientific notation, and ensuring it has the appropriate number of significant figures. The division of 7860 by \( 0.00001 \) yields 786,000,000, which is then expressed as \( 7.86 \times 10^8 \) and rounded to \( 8 \times 10^8 \) with one significant figure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff61ca72c-0d07-4731-84aa-6e37b38bdca8%2Fde90f74e-ee82-4a5c-aa79-bafe755b42bb%2F6ag68ln.jpeg&w=3840&q=75)
Transcribed Image Text:### Scientific Notation and Significant Figures: Example Calculation
**Question 5:**
_Give the answer in scientific notation and to the correct number of significant figures._
**Calculation:**
Given:
\( \frac{7860}{0.00001} = ? \)
**Step-by-Step Solution:**
Step 1: Perform the division.
\[ \frac{7860}{0.00001} = 786000000 \]
Step 2: Express the result in scientific notation.
\[ 786000000 = 7.86 \times 10^8 \]
Step 3: Adjust the number to have the correct number of significant figures.
The result rounded to 1 significant figure is:
\[ 8 \times 10^8 \]
Thus, the final answer in scientific notation with the correct significant figures is:
\[ 8 \times 10^8 \]
This example demonstrates the process of dividing numbers, converting the result to scientific notation, and ensuring it has the appropriate number of significant figures. The division of 7860 by \( 0.00001 \) yields 786,000,000, which is then expressed as \( 7.86 \times 10^8 \) and rounded to \( 8 \times 10^8 \) with one significant figure.
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