Multiple Choice
Which of the following is the correct scientific notation for 0.00078?
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following numbers is written in scientific notation?
A
0.00032
B
3.2 × 10^5
C
32 × 10000
D
320000
Verified step by step guidance1
Understand the definition of scientific notation: a number is written in scientific notation if it is expressed as \(a \times 10^{n}\), where \(1 \leq |a| < 10\) and \(n\) is an integer.
Examine each option to see if it fits the form \(a \times 10^{n}\) with \(a\) between 1 and 10.
For the number \(0.00032\), rewrite it as \(3.2 \times 10^{-4}\), which fits scientific notation because \(3.2\) is between 1 and 10.
For the number \(3.2 \times 10^{5}\), check that \(3.2\) is between 1 and 10 and the exponent is an integer, so this is in proper scientific notation.
For the numbers \(32 \times 10000\) and \(320000\), note that they are not written in the form \(a \times 10^{n}\) with \(a\) between 1 and 10, so they are not in scientific notation.
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