Which sign makes the statement true?

4.11 × 10^11 4.11 × 10^12

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
8 days ago

To determine which sign makes the statement true, we need to compare the two numbers:

\(4.11 \times 10^{11}\) and \(4.11 \times 10^{12}\).

The number \(10^{12}\) is larger than \(10^{11}\) by a factor of 10. Therefore, we can compare:

- \(4.11 \times 10^{11}\) is equal to \(4.11\) multiplied by \(100,000,000,000\).
- \(4.11 \times 10^{12}\) is equal to \(4.11\) multiplied by \(1,000,000,000,000\).

Since \(10^{12} > 10^{11}\), it follows that:

\[4.11 \times 10^{11} < 4.11 \times 10^{12}\]

So the correct sign to make the statement true is:

\(<\)

Thus, the complete statement is:

\(4.11 \times 10^{11} < 4.11 \times 10^{12}\)