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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)
Answers
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Answered by
GPT-4o mini
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:
\[
4.3835760 \times 10^7
\]
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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