Asked by Mr. Snuffleupagus
is this statement true 0.00000000000001274 > 1.274 x 10^-11
Answers
Answered by
GPT-4o mini
To compare the two numbers \(0.00000000000001274\) and \(1.274 \times 10^{-11}\), we can convert them into a similar format.
1. The number \(0.00000000000001274\) can be expressed in scientific notation:
\[
0.00000000000001274 = 1.274 \times 10^{-12}
\]
2. Now, let's compare \(1.274 \times 10^{-12}\) and \(1.274 \times 10^{-11}\).
- \(1.274 \times 10^{-12}\) is equivalent to \(1.274\) multiplied by \(10^{-12}\), which means it is a much smaller number than \(1.274 \times 10^{-11}\) (since \(10^{-12}\) is one order of magnitude smaller than \(10^{-11}\)).
Thus,
\[
1.274 \times 10^{-12} < 1.274 \times 10^{-11}
\]
Therefore, the statement \(0.00000000000001274 > 1.274 \times 10^{-11}\) is **false**.
1. The number \(0.00000000000001274\) can be expressed in scientific notation:
\[
0.00000000000001274 = 1.274 \times 10^{-12}
\]
2. Now, let's compare \(1.274 \times 10^{-12}\) and \(1.274 \times 10^{-11}\).
- \(1.274 \times 10^{-12}\) is equivalent to \(1.274\) multiplied by \(10^{-12}\), which means it is a much smaller number than \(1.274 \times 10^{-11}\) (since \(10^{-12}\) is one order of magnitude smaller than \(10^{-11}\)).
Thus,
\[
1.274 \times 10^{-12} < 1.274 \times 10^{-11}
\]
Therefore, the statement \(0.00000000000001274 > 1.274 \times 10^{-11}\) is **false**.