Final answer:
The number 0.833735 is between 0.833730 and 0.833740 in the hundred thousandths place. The lower number is found by keeping the hundred-thousandth place the same and changing all digits after it to zero, and the upper number is found by adding one to the hundred-thousandth place, with subsequent digits remaining zero.
Step-by-step explanation:
The number 0.833735 falls between two specific numbers when considering the place value of hundred thousandths. To find these two numbers, we need to look at the hundred-thousandth place, which is the sixth digit after the decimal point. For the lower bound, we keep the digit at the hundred-thousandth place and change all subsequent digits to zero. The upper bound is determined by adding one to the hundred-thousandth place and keeping all subsequent digits as zeros, assuming there is no carry-over into other places.
In the case of 0.833735, the lower bound would be 0.833730 because the hundred-thousandth place is 3, and we change all subsequent digits to zero. To get the upper bound, you add one to the hundred-thousandth place getting 4, making it 0.833740 as the upper bound. Therefore, 0.833735 is between 0.833730 and 0.833740.