Question

Which sign makes the statement true?
5.41960 × 10^25 5.4186 × 10^24
><=

Answer 1

To determine which sign makes the statement true between \( 5.41960 \times 10^{25} \) and \( 5.4186 \times 10^{24} \), we should first express both numbers in a similar format.

The number \( 5.4186 \times 10^{24} \) can be converted to \( 10^{25} \) by adjusting the exponent:
\[
5.4186 \times 10^{24} = 0.54186 \times 10^{25}
\]

Now we can compare:
- \( 5.41960 \times 10^{25} \)
- \( 0.54186 \times 10^{25} \)

Now, since both numbers are now expressed with the same exponent (\( 10^{25} \)), we can simply compare the coefficients:
- \( 5.41960 \)
- \( 0.54186 \)

Since \( 5.41960 \) is greater than \( 0.54186 \), we conclude:
\[
5.41960 \times 10^{25} > 5.4186 \times 10^{24}
\]

Therefore, the correct sign to make the statement true is \( > \). The full statement is:
\[
5.41960 \times 10^{25} > 5.4186 \times 10^{24}
\]