Multiple Choice
If the equilibrium concentration of CH_4 is 0.00045 mol/L, which of the following correctly expresses this value in scientific notation?
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following represents the number 48 in proper scientific notation?
A
4.8 × 10^0
B
48 × 10^0
C
4.8 × 10^1
D
0.48 × 10^2
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.
Identify the given number, which is 48, and recognize that it needs to be rewritten so that the coefficient (the number before the multiplication sign) is between 1 and 10.
Rewrite 48 as \(4.8 \times 10^{1}\) because moving the decimal point one place to the left changes 48 to 4.8, and to compensate, multiply by \$10^{1}$.
Check the other options: \(4.8 \times 10^{0}\) equals 4.8, which is not 48; \(48 \times 10^{0}\) has a coefficient greater than 10, so it is not proper scientific notation; \(0.48 \times 10^{2}\) has a coefficient less than 1, so it is also not proper scientific notation.
Conclude that the correct scientific notation for 48 is \(4.8 \times 10^{1}\) because it meets the criteria of having a coefficient between 1 and 10 and correctly represents the value.
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