Take the problem 4284 divided by 14 using the standard divis

Take the problem 4284 divided by 14 using the standard division algorithm. the answer is 306.

(a) when we write the 3 in the quoitent, and then mulitply 3 by 14 to get 42, what does the 42 represent?

(b) explain the mathmatical reason why you have to \" move to the right\" as you do the algorithm.

(c) is may be confusing for children to understand why the answer is 306 instead of 36. explain clearly why a 0 must be put into the answer.

Solution

a) it is actually 4200. Not 42. It is the way of writing. Because we actually subtract 4200 from 4284.

b) we move to right because we are going towards units place. Like 1000x+100y+10z+a this is the format.

C)we must understand we are taking all places one by one. Here hundred\'s place is 3.so 300. Tens place is 0. So 0. Units place is 6. Therfore 300+0+6=306