Answer:
Explanation:
To divide 3430 by 9, you can use either the partial quotients method or the division algorithm. Both methods will yield the same result, but the choice of method depends on personal preference and familiarity.
The partial quotients method involves repeatedly subtracting multiples of the divisor (9 in this case) from the dividend (3430) until you reach zero or a remainder. It provides a more intuitive approach to division, breaking down the division process into smaller steps.
The division algorithm, on the other hand, involves dividing the dividend by the divisor digit by digit, starting from the leftmost digit. This method follows a more systematic and algorithmic approach, using long division steps to arrive at the quotient and remainder.
In this case, since 3430 and 9 are relatively small numbers, both methods can be used effectively. If you are comfortable with long division and prefer a step-by-step algorithmic approach, you can use the division algorithm. If you prefer a more intuitive and visual approach, you can use the partial quotients method.