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 values \( 5 \times 10^{-11} \) and \( 3 \times 10^{-11} \), we can examine the coefficients because they are both multiplied by the same power of ten.

  • For \( 5 \times 10^{-11} \), the coefficient is 5.
  • For \( 3 \times 10^{-11} \), the coefficient is 3.

Since 5 is greater than 3, we write:

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

Thus, the correct symbol to put in the blank is:

So the complete statement is:

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