High School Placement Test (HSPT) Practice Test

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Which of the following represents 4.35 in scientific notation?

  1. 4.35 × 10^10

  2. 4.35 × 10^2

  3. 4.35 × 10^3

  4. 4.35 × 10^-6

The correct answer is: 4.35 × 10^3

To express a number in scientific notation, the format is typically written as \( a \times 10^n \), where \( a \) is a number greater than or equal to 1 and less than 10, and \( n \) is an integer that indicates the power of ten by which \( a \) is multiplied. In the case of 4.35, it is already in the correct range for \( a \) since it is greater than 1 and less than 10. Now, we need to determine the appropriate exponent \( n \). The number 4.35 can be represented as \( 4.35 \times 10^0 \) since \( 10^0 = 1 \). However, the options presented require us to express 4.35 in a form that matches the multiples of ten with a different exponent. Considering option C, which is \( 4.35 \times 10^3 \), this represents 4.35 multiplied by 1000 (since \( 10^3 = 1000 \)), which equals 4350. Thus, while it does not represent the original number of 4.35 in its basic form, it effectively illustrates