Compare Very Large and Very Small Numbers Practice

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Question
Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

1 answer

To compare the two numbers, we first convert them into scientific notation.

  1. 34,835,760 can be written in scientific notation as: \[ 3.4835760 \times 10^7 \]

  2. 43,835,760 can be written in scientific notation as: \[ 4.3835760 \times 10^7 \]

Now we can compare the two numbers:

  • The coefficients (the numbers in front of the \(10^n\)) are 3.4835760 and 4.3835760.
  • Since \(4.3835760\) is greater than \(3.4835760\), it follows that:

\[ 43,835,760 > 34,835,760 \]

Thus, in scientific notation, the greater number is:

\[ 4.3835760 \times 10^7 \]

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