To compare the two numbers, 0.0000635 and 0.000456, we can align them by their decimal points:
- 0.0000635
- 0.000456
Looking at the digits from left to right, we see that:
- The first number (0.0000635) has its first significant digit at the fifth decimal place (6).
- The second number (0.000456) has its first significant digit at the fourth decimal place (4).
Since 0.000456 has a higher first significant digit than 0.0000635, we can conclude that:
0.000456 is greater than 0.0000635.
In summary: 0.0000635 < 0.000456.