Question

Which sign makes the statement true?

0.0000000000000909 9.09 × 10^13

Answer 1

To determine which mathematical sign (either <, >, or =) makes the statement true between \( 0.0000000000000909 \) and \( 9.09 \times 10^{13} \), we need to compare the two values.

First, let’s express \( 0.0000000000000909 \) in scientific notation:

\[
0.0000000000000909 = 9.09 \times 10^{-14}
\]

Now we can rewrite the comparison as:

\[
9.09 \times 10^{-14} \quad ? \quad 9.09 \times 10^{13}
\]

Next, observe the exponent of 10 in both expressions. The exponent in \( 9.09 \times 10^{-14} \) is -14, while the exponent in \( 9.09 \times 10^{13} \) is 13.

Since \( -14 < 13 \), we have:

\[
9.09 \times 10^{-14} < 9.09 \times 10^{13}
\]

Thus, the correct sign to make the statement true is:

\[
0.0000000000000909 < 9.09 \times 10^{13}
\]

In conclusion, the correct answer is:

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