Multiple Choice
Which of the following expresses the number 554,780,000,040 in scientific notation to three significant figures?
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1. Intro to General Chemistry
Scientific Notation
Multiple Choice
Which of the following represents 31 billion in scientific notation?
A
3.1 \(\times\) 10^{9}
B
3.1 \(\times\) 10^{10}
C
3.1 \(\times\) 10^{11}
D
31 \(\times\) 10^{9}
Verified step by step guidance1
Understand that 1 billion is equal to \$10^{9}$, so 31 billion can be expressed as \(31 \times 10^{9}\).
Recall that scientific notation requires the coefficient to be a number between 1 and 10, so \(31 \times 10^{9}\) is not in proper scientific notation because 31 is greater than 10.
Convert \(31 \times 10^{9}\) to proper scientific notation by moving the decimal point one place to the left, which changes 31 to 3.1 and increases the exponent by 1, resulting in \(3.1 \times 10^{10}\).
Verify that the coefficient 3.1 is between 1 and 10, confirming that \(3.1 \times 10^{10}\) is the correct scientific notation for 31 billion.
Compare the options given and identify that \(3.1 \times 10^{10}\) correctly represents 31 billion in scientific notation.
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