Question

Which number is the best estimate of this number?

866,214,000,000
9 × 1011
8 × 1011
10 × 1110
8–11 × 10

Answers

GPT-4o mini
To determine the best estimate of the number 866,214,000,000, we can express this number in scientific notation.

The number 866,214,000,000 can be written as:

\[ 8.66214 \times 10^{11} \]

Now let's compare this with the given options:

1. \( 9 \times 10^{11} \)
2. \( 8 \times 10^{11} \)
3. \( 10 \times 11^{10} \) (This appears to be incorrectly formatted for scientific notation)
4. \( 8–11 \times 10 \) (also seems incorrectly formatted)

Among the valid options, we have \( 9 \times 10^{11} \) and \( 8 \times 10^{11} \).

The actual value \( 8.66214 \times 10^{11} \) is closer to \( 9 \times 10^{11} \) than to \( 8 \times 10^{11} \).

Thus, the best estimate of the number 866,214,000,000 is:

**\( 9 \times 10^{11} \)**.

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