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.

Answer 1

can you double check

Answer 2

To compare the numbers 34,835,760 and 43,835,760 using scientific notation, we first convert each number to scientific notation.

1. **For 34,835,760**:
\[
34,835,760 = 3.4835760 \times 10^7
\]
(since we move the decimal point 7 places to the left).

2. **For 43,835,760**:
\[
43,835,760 = 4.3835760 \times 10^7
\]
(again moving the decimal point 7 places to the left).

Now we can compare the two numbers:
- \(3.4835760 \times 10^7\)
- \(4.3835760 \times 10^7\)

Since both numbers have the same exponent \(10^7\), we only need to compare the coefficients:
- \(3.4835760\) (for 34,835,760)
- \(4.3835760\) (for 43,835,760)

Since \(4.3835760 > 3.4835760\), we find that \(43,835,760 > 34,835,760\).

Thus, the number \(43,835,760\) is greater than \(34,835,760\).

In scientific notation, the greater number is:

\[
\boxed{4.3835760 \times 10^7}
\]

Answer 3

Absolutely! Let's double-check the calculations and comparisons step by step.

1. **Convert the numbers to scientific notation**:

- **For 34,835,760**:
- Move the decimal point 7 places left:
\[
34,835,760 = 3.4835760 \times 10^7
\]

- **For 43,835,760**:
- Move the decimal point 7 places left:
\[
43,835,760 = 4.3835760 \times 10^7
\]

2. **Compare the two scientific notations**:

We have:
- \(3.4835760 \times 10^7\)
- \(4.3835760 \times 10^7\)

Both numbers have the same exponent \(10^7\). We only need to compare the coefficients:
- \(3.4835760\) (from 34,835,760)
- \(4.3835760\) (from 43,835,760)

Since \(4.3835760 > 3.4835760\), it confirms that:
\[
43,835,760 > 34,835,760
\]

3. **Conclusion**:
Thus, the greater number is indeed:
\[
\boxed{4.3835760 \times 10^7}
\]

Everything checks out correctly! Thank you for your patience!