Which sign makes the statement true? \( 8.7 \times 10^{4} ? 7.8 \times 10^{5} \) \( > \)

To determine which sign makes the statement true, you first need to compare the two numbers in standard form. When we convert \( 8.7 \times 10^{4} \) to standard form, it becomes \( 87,000 \), and \( 7.8 \times 10^{5} \) converts to \( 780,000 \). Since \( 87,000 \) is indeed less than \( 780,000 \), the correct sign is \( < \). Now, here's a quick tip: When comparing numbers in scientific notation, first align their exponents if possible. This means you might need to adjust one of the numbers so they have the same exponent and are easier to compare—just like a balancing act at a circus!