92 divided by 4 use partial and quotients to divide
The correct answer and explanation is:
To divide 92 by 4 using partial quotients, we can break the process down into manageable steps. Partial quotients is a method where you repeatedly subtract multiples of the divisor (in this case, 4) from the dividend (92) until what remains is less than the divisor. Let’s go through this step by step:
Step 1: Divide the largest multiple of 4 that fits into 92
Start by thinking of a multiple of 4 that is easy to subtract from 92. One of the largest multiples of 4 is 80 (4 x 20). Subtract 80 from 92.
92 – 80 = 12
Now, you have 12 left.
Step 2: Divide the next largest multiple of 4
The next multiple of 4 that fits into 12 is 12 itself (4 x 3). Subtract 12 from 12.
12 – 12 = 0
Now, there is nothing left to subtract, and the division is complete.
Step 3: Add the partial quotients
Now, we add up the partial quotients. The first partial quotient was 20, and the second was 3. Add them together.
20 + 3 = 23
Thus, 92 divided by 4 equals 23.
Explanation
The partial quotients method is effective because it breaks down the problem into simpler subtraction steps rather than focusing on the traditional multiplication and division processes. By subtracting multiples of 4, it allows you to approach the division in chunks, making it easier to understand and follow. The key here is to find multiples of the divisor that are simple to subtract, which makes the process less intimidating and more straightforward.
This method also encourages students to develop a deeper understanding of division as repeated subtraction, rather than just memorizing steps. It reinforces the connection between division and multiplication by using factors of the divisor to break down the division into manageable parts.