Multiple Choice
Calculate (9.3 × 10^6) + (1.8 × 10^4) and express your answer in scientific notation.
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following expresses 4.8 in scientific notation?
A
4.8 × 10^{0}
B
0.48 × 10^{1}
C
4.8 × 10^{1}
D
48 × 10^{-1}
Verified step by step guidance1
Understand that scientific notation expresses a number as a product of a number between 1 and 10 and a power of 10, in the form \(a \times 10^{n}\) where \(1 \leq a < 10\) and \(n\) is an integer.
Look at the given number, 4.8, and check if it already fits the form where the coefficient \(a\) is between 1 and 10. Since 4.8 is between 1 and 10, it can be written as \(4.8 \times 10^{0}\) because multiplying by \$10^{0}$ equals 1.
Examine the other options by rewriting them in standard decimal form to see if they equal 4.8: for example, \(0.48 \times 10^{1} = 4.8\), \(4.8 \times 10^{1} = 48\), and \(48 \times 10^{-1} = 4.8\).
Identify which of these options have the coefficient between 1 and 10. Only \(4.8 \times 10^{0}\) meets the strict definition of scientific notation because the coefficient must be at least 1 but less than 10.
Conclude that the correct scientific notation for 4.8 is \(4.8 \times 10^{0}\), as it follows the proper format and equals the original number.
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