Which symbol makes the statement true? Write < , > , or = in the blank.(1 point) 5 × 10^−11 _ 3 × 10^−11

1 answer

To compare the two numbers \( 5 \times 10^{-11} \) and \( 3 \times 10^{-11} \), we can directly compare the coefficients since they are both multiplied by the same power of ten.

Here are the numbers:

  • \( 5 \times 10^{-11} \)
  • \( 3 \times 10^{-11} \)

Since \( 5 \) is greater than \( 3 \), we have:

\[ 5 \times 10^{-11} > 3 \times 10^{-11} \]

So the symbol that makes the statement true is \( > \).

Thus, the complete statement is:

\( 5 \times 10^{-11} > 3 \times 10^{-11} \)