Question

Use rectangular model to record the partial quotients 852/6.

Answer 1

To divide 852 by 6 using a rectangular model, we break down 852 into parts, divide each part by 6, and subtract the product from the original number successively. The partial quotients are 1, 4, and 2, which when combined give us a total quotient of 142.

Step-by-step explanation:

The question asks us to use the rectangular model to record the partial quotients for the division of 852 by 6. Utilizing this method, we initiate the process by estimating how many times 6 can fit into the leading numbers of 852, moving from the highest place value to the lowest. We start with the hundreds, then move to the tens, and finally, the ones, subtracting the products from the original number at each step until we reach zero or a remainder lower than 6.

1. First, we see that 6 goes into 8 once with a remainder of 2 (6 x 1 = 6).
2. Then, we bring down 5 to make it 25 (the remainder 2 and the next digit 5). Six goes into 25 four times without exceeding it (6 x 4 = 24).
3. Finally, we bring down the last digit which is 2 to get 12. Six goes into 12 exactly two times (6 x 2 = 12).

Thus, the partial quotients are 1, 4, and 2, and when we combine these, we get a total of 142. Therefore, 852 divided by 6 equals 142.

Answer 2

`\frac { 852 }{ 6 } \\ \\ =\frac { 840+12 }{ 6 } \\ \\ =\frac { 840 }{ 6 } +\frac { 12 }{ 6 } \\ \\ =140+2\\ \\ =142`