Multiple Choice
Which of the following is the correct scientific notation for 0.00086?
98
views
1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following is the best estimate for 0.00056 written in scientific notation?
A
0.56 × 10^{-3}
B
56 × 10^{-5}
C
5.6 × 10^{-4}
D
5.6 × 10^{4}
Verified step by step guidance1
Recall 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.
Start with the given number: 0.00056. To write it in scientific notation, move the decimal point to the right until you have a number between 1 and 10.
Count how many places you move the decimal point. For 0.00056, moving the decimal point 4 places to the right gives 5.6.
Since you moved the decimal point 4 places to the right, the exponent on 10 will be negative 4, because moving right corresponds to a negative power of 10.
Therefore, the scientific notation form is \(5.6 \times 10^{-4}\), which matches the correct answer.
Related Videos
Related Practice
