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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 1950 than in 1900?
Express your answer in scientific notation.
Year
1850
1900
Approximate enrollment at the University of Michigan
7.2. 101
3.7 - 103
2.7. 104
3.8. 104
1950
2000
students

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 class=

Respuesta :

Answer:

2.33*10^4

Step-by-step explanation:

Let's subtract the enrollment in 1900 from the enrollment in 1950.

2.7*10^4 - 3.7*10^3

= 27*10^3 - 3.7*10^3

= (27-3.7)*10^3

= 2.33*10^3

2.33*10^4 students.

The expression of the number of enrolled students using scientific

notation makes it convenient to write the number of enrolled students.

  • The number of more students that were enrolled at the University of Michigan in 1950 than in 1900 is 2.33 × 10⁴.

Reason:

The information given in the table are;

Number enrolled students in the university of Michigan in 1950 = 2.7 × 10⁴

Number of students enrolled in the university in 1900 = 3.7 × 10³

The difference in the number of students enrolled in 1950 and 1900 is given as follows;

  • The number of more students, ΔS = 2.7 × 10⁴ - 3.7 × 10³

Expressing both numbers as multiples of the same power of 10 gives;

  • 2.7 × 10⁴ = 27 × 10³
  • ΔS = 27 × 10³ - 3.7 × 10³ = 23.3 × 10³

Expressing the result in the scientific notation form, of one digit to the right of the decimal place gives;

  • ΔS = 23.3 × 10³ = 2.33 × 10⁴

Therefore;

  • The number of more students that were enrolled at the University of Michigan in 1950 than in 1900, ΔS ≈ 2.33 × 10⁴

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