Final answer:
It is crucial to place zeros accurately in the break apart strategy for addition to maintain the number's integrity and obtain correct sums.
Step-by-step explanation:
It is important to write any zero in the correct place value position when using the break apart strategy to add because zeros help to maintain the integrity of the number's value. In the absence of proper place-holding zeros, the remaining digits could incorrectly combine during the addition process, resulting in inaccurate sums.
For example, in the addition of 405 + 60, if we omit the zero from '60' and write '6', we end up adding '45 + 6' instead, which gives us 51.
However, when we write '60' with the zero in the correct place value position, we are accurately adding '405 + 60' to get the correct sum of 465. Therefore, the inclusion of zeros in their correct place value positions is critical for achieving the correct results during addition.