Compare 0.0000635 and 0.000456. Write < , > , or = in the blank.
<
To compare the numbers 0.0000635 and 0.000456, we can use the less than (<), greater than (>), or equal to (=) signs.
Comparing the numbers:
0.0000635 < 0.000456.
Therefore, the blank can be filled with the symbol "<".
To compare the numbers 0.0000635 and 0.000456, we need to examine the values of each digit from left to right. The digits to the left have a greater place value, so they carry more weight in determining the overall value of the number.
Approximating the numbers to the same number of decimal places, we have:
0.0000635 ≈ 0.000064 (rounded to four decimal places)
0.000456 ≈ 0.000456 (rounded to four decimal places)
Comparing these rounded numbers, we can conclude that 0.000064 is less than 0.000456, so:
0.0000635 < 0.000456
Therefore, we can write "<" in the blank.