Question

Which sign makes the statement true?
0.000000000000001679 * 10^-24 5.6790 * 10^-39
><=

Answer 1

To compare the two numbers \(0.000000000000001679 \times 10^{-24}\) and \(5.6790 \times 10^{-39}\), we can express them in a more convenient format.

1. The first number, \(0.000000000000001679 \times 10^{-24}\), can be expressed in scientific notation:
\[
0.000000000000001679 = 1.679 \times 10^{-15}
\]
So,
\[
1.679 \times 10^{-15} \times 10^{-24} = 1.679 \times 10^{-39}
\]

2. The second number is already in scientific notation:
\[
5.6790 \times 10^{-39}
\]

Now we can compare \(1.679 \times 10^{-39}\) and \(5.6790 \times 10^{-39}\):

Since both numbers are expressed with the same exponent \(10^{-39}\), we can directly compare the coefficients:

- \(1.679 < 5.6790\)

Thus, we conclude:
\[
1.679 \times 10^{-39} < 5.6790 \times 10^{-39}
\]

Therefore, the sign that makes the statement true is:
\[
<
\]

Final answer:
\[
0.000000000000001679 \times 10^{-24} < 5.6790 \times 10^{-39}
\]