How many more students were enrolled at the University of Michigan in 2000 than in 1900? Answer in standard form and show or explain your work. Round your answer to the hundredths place. Year 1850 1900 1950 2000 Enrollment (number of students) 7.2 x 10¹ 3.7 x 10³ 2.7 x 10¹ 3.8 x 10

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The table provides the approximate enrollment at the University of Michigan every 50 years from 1850 to 2000.

**Enrollment Data**:
- **1850**: \(7.2 \times 10^1\) students
- **1900**: \(3.7 \times 10^3\) students
- **1950**: \(2.7 \times 10^4\) students
- **2000**: \(3.8 \times 10^4\) students

**Problem**:
Calculate how many more students were enrolled at the University of Michigan in 2000 compared to 1900. Provide your answer in standard form, show your work, and round your answer to the hundredths place.

**Solution**:
1. Convert the enrollment figures to standard form:
   - 1900: \(3.7 \times 10^3 = 3700\)
   - 2000: \(3.8 \times 10^4 = 38000\)

2. Subtract the 1900 enrollment from the 2000 enrollment:
   - \(38000 - 3700 = 34300\)

3. The number of additional students enrolled in 2000 compared to 1900 is **34,300**.
Transcribed Image Text:The table provides the approximate enrollment at the University of Michigan every 50 years from 1850 to 2000. **Enrollment Data**: - **1850**: \(7.2 \times 10^1\) students - **1900**: \(3.7 \times 10^3\) students - **1950**: \(2.7 \times 10^4\) students - **2000**: \(3.8 \times 10^4\) students **Problem**: Calculate how many more students were enrolled at the University of Michigan in 2000 compared to 1900. Provide your answer in standard form, show your work, and round your answer to the hundredths place. **Solution**: 1. Convert the enrollment figures to standard form: - 1900: \(3.7 \times 10^3 = 3700\) - 2000: \(3.8 \times 10^4 = 38000\) 2. Subtract the 1900 enrollment from the 2000 enrollment: - \(38000 - 3700 = 34300\) 3. The number of additional students enrolled in 2000 compared to 1900 is **34,300**.
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