Question

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.

Answers

GPT-4o mini
To express the numbers 34,835,760 and 43,835,760 in scientific notation, we follow these steps:

1. **Identify the coefficient**: The coefficient should be a number between 1 and 10.
2. **Determine the exponent**: The exponent is determined by how many places the decimal point moves to convert the number to the coefficient.

Now, let's convert both numbers to scientific notation:

1. For **34,835,760**:
- The decimal point moves 7 places to the left:
- \( 34,835,760 = 3.4835760 \times 10^7 \)
- For simplicity, we can round it to 3.48 (considering the question asks for an exact decimal place).

2. For **43,835,760**:
- The decimal point also moves 7 places to the left:
- \( 43,835,760 = 4.3835760 \times 10^7 \)
- Again, we can round it to 4.38.

Now we can compare:

- **34,835,760** in scientific notation:
\( 3.4835760 \times 10^7 \)

- **43,835,760** in scientific notation:
\( 4.3835760 \times 10^7 \)

Since 4.38 is greater than 3.48, we conclude that:

**43,835,760** is greater than **34,835,760**.

In summary, the greater number expressed in scientific notation is:

\[
4.3835760 \times 10^7
\]

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