Question

a total of 7,803,100 tourist visited country a from the year 2018 to the year 2020 round to the nearest place value that expressed this number in the form of a single digit times an integer power of 10

Answer 1

this was wrong

Answer 2

To express the number 7,803,100 in the form of a single digit times an integer power of 10, you can follow these steps:

1. Identify the first non-zero digit: In this case, the first non-zero digit is 7.
2. Determine the power of 10 by counting how many places the decimal point must move to convert 7 into 7,803,100. The decimal will move 6 places to the left (from 7 to 7.803100).
3. Therefore, you can express 7,803,100 as \( 7.8031 \times 10^6 \).

Now, to round 7,803,100 to the nearest place value:
- The first digit (7) remains, and you round to the nearest integer, meaning you can express it as \( 7.8 \times 10^6 \) (assuming rounding to the nearest tenths place).

However, if you prefer to round to a single digit, you can simply round it to 8, leading to:

\[
8 \times 10^6
\]

Thus, the final answer in standard scientific notation rounded to a single digit times an integer power of 10 is:

\[
8 \times 10^6
\]

Answer 3

I apologize for any confusion. Let’s clarify the conversion of the number 7,803,100 into scientific notation.

To express 7,803,100 in scientific notation (a single digit times a power of 10):

1. Identify the first significant digit, which is **7**.
2. Count how many places the decimal needs to move to the left to put it after the first digit, which is **6 places** (moving it from the end of the number to just after the 7).
3. This gives you the expression:

\[
7.8031 \times 10^6
\]

Now, if you wish to round the number 7,803,100 to the nearest whole number and express it in scientific notation:

1. The first digit is **7**, which is already a single digit.
2. So, rounding to the first place value gives:

\[
7.8 \times 10^6
\]

However, if we approximate it to the nearest whole number (which would round up to **8** for the whole number part):

\[
8 \times 10^6
\]

This option is also valid in rounding to the nearest whole number and expressing it as a single digit times a power of ten.

In conclusion, if you are looking for a direct conversion of 7,803,100 into scientific notation:

- The correct and most precise scientific notation (before rounding) is \(7.8031 \times 10^6\) or more simply \(7.8 \times 10^6\) if you round up.

If you wanted the single digit representation, the final correct answer for rounding would be:

\[
8 \times 10^6
\]

Please let me know if there's anything specific you'd like me to address or clarify further!