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Multiple Choice
Which of the following expresses 2000000 in scientific notation?
A
20 \times 10^{5}
B
2 \times 10^{5}
C
2.0 \times 10^{7}
D
2 \times 10^{6}
Verified step by step guidance
1
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.
Start with the given number: 2000000. Count how many places the decimal point moves to the left to get a number between 1 and 10. For 2000000, moving the decimal 6 places left gives 2.0.
Rewrite 2000000 as \$2.0 \times 10^{6}\( because moving the decimal 6 places to the left is equivalent to multiplying by \)10^{6}$.
Check the options to see which one matches the correct scientific notation form: it should have a coefficient between 1 and 10 and the correct power of 10.
Confirm that \$2 \times 10^{6}$ is the correct scientific notation for 2000000, as it meets the criteria and accurately represents the original number.