The table shown below gives the approximate enrollment at the University of Michigan every fifty years.
How many more students were enrolled at the University of Michigan in 195019501950 than in 190019001900?
Express your answer in scientific notation.
Year Approximate enrollment at the University of Michigan
185018501850 7.2 \cdot 10^17.2⋅10
1
7, point, 2, dot, 10, start superscript, 1, end superscript
190019001900 3.7 \cdot 10^33.7⋅10
3
3, point, 7, dot, 10, cubed
195019501950 2.7 \cdot 10^42.7⋅10
4
2, point, 7, dot, 10, start superscript, 4, end superscript
200020002000 3.8 \cdot 10^43.8⋅10
4
Answers
Given : approximate enrollment at the University of Michigan
Year Enrollment
1850 7.2 × 10¹
1900 3.7 × 10³
1950 2.7 × 10⁴
2000 3.8 × 10⁴
To Find : How many more students were enrolled at the University of Michigan in 1950 than in 1900
Solution:
Enrolled in 1900 = 3.7 × 10³
Enrolled in 1950 = 2.7 × 10⁴
Method 1 :
3.7 × 10³ = 3.7 x 1000 = 3700
2.7 × 10⁴ = 2.7 x 10000 = 27000
More enrollments = 27000 - 3700
= 23300
= 2.33 × 10⁴
Method 2 :
2.7 × 10⁴ - 3.7 × 10³
= 2.7 × 10⁴ - 0.37 × 10⁴
= (2.7 - 0.37) × 10⁴
= 2.33 × 10⁴
2.33 × 10⁴ more students were enrolled at the University of Michigan in 1950 than in 1900
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Answer:
180000000000 + 70 + 02
Step-by-step explanation: