Multiple Choice
What is 1.2 \(\times\) 10^5 written in standard (decimal) form?
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following represents the correct scientific notation for the number 200?
A
0.2 × 10^3
B
2.0 × 10^2
C
200 × 10^0
D
20 × 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 number 200 and identify how to write it as \(a \times 10^{n}\) with \(a\) between 1 and 10. For example, 200 can be written as 2.00 multiplied by a power of 10.
Determine the exponent \(n\) by counting how many places the decimal point moves to convert 200 into a number between 1 and 10. Moving the decimal point two places to the left converts 200 to 2.00.
Express 200 in scientific notation as \(2.00 \times 10^{2}\), since moving the decimal two places to the left corresponds to multiplying by \$10^{2}$.
Compare this with the given options to identify which one matches the correct scientific notation format, ensuring the coefficient is between 1 and 10.
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