Multiple Choice
Which of the following is the correct scientific notation for 0.000027?
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
When expressing the number 157 in scientific notation, what is the power of 10 used?
A
3
B
0
C
1
D
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 original number, which is 157, and determine how to rewrite it so that the coefficient \(a\) is between 1 and 10.
Move the decimal point in 157 two places to the left to get 1.57, which is a number between 1 and 10.
Since the decimal point was moved two places to the left, the power of 10 will be positive 2, because moving the decimal left corresponds to multiplying by \$10^{2}$.
Write the number in scientific notation as \(1.57 \times 10^{2}\), confirming that the power of 10 used is 2.
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