Final answer:
To compare 0.0000635 and 0.000456, 0.0000635 is greater than 0.000456.
Step-by-step explanation:
To compare the numbers 0.0000635 and 0.000456, we can look at the values of the decimal places. Starting from the leftmost digit, the first two numbers in both decimals are 0.00. Moving to the third decimal place, the digit in the first number is 6, while in the second number it is 0. Since 6 is greater than 0, we know that 0.0000635 is greater than 0.000456. Therefore, the correct symbol to fill in the blank is > (greater than).
Learn more about comparing decimals