What number should be placed in the box to help complete the division calculation?
long division setup showing an incomplete calculation. 12 is in the divisor, 8587 is in the dividend, and 7 hundreds and 1 tens is written in the quotient. 8400 is subtracted from 8587 to give 187. An unknown value represented by a box is being subtracted from 187.
so bad
To find the number that should be placed in the box to complete the division calculation, we need to understand how long division works.
In long division, we divide the dividend (in this case, 8587) by the divisor (in this case, 12) to find the quotient. The quotient is the result of the division.
We start by dividing the first digit of the dividend (8) by the divisor (12). Since 8 is smaller than 12, we look at the next digit (85). We divide 85 by 12, which gives us an initial estimate for the quotient.
In this case, you mentioned the quotient already has 7 hundreds and 1 tens, so the initial estimate for the quotient would be 710. We multiply the divisor (12) by the initial estimate (710) to get 8520.
Next, we subtract this product from the dividend (8587 - 8520 = 67) and bring down the next digit (7), which gives us a new dividend of 677.
Now, we need to find the missing number in the box. We subtract this number from the new dividend (677 - box = 187).
To find the missing number, we can subtract the known value (8400) from the new dividend (187) to get:
187 - 8400 = -8213
Here, the result is negative, which means the unknown number in the box should be a positive value. To make it positive, we can add that result to zero:
0 - 8213 = -8213
Since subtracting a negative number is equivalent to adding a positive number, we can change the sign:
-8213 becomes 8213
So, the number that should be placed in the box to complete the division calculation is 8213.