1.2 3 Quiz Understanding Historiography

your verbal question is kind of difficult to empathize, then maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and yous take 5 friends that you want to feed without picking favorites. how many brownies can yous dole out to each of your friends in equal amounts? how many volition be left over for y'all to eat?

what you're doing hither is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic thought behind partition.

we pause up the number 652 into parts and then that the leading digit stands on its own:

652 = 600 + 52

first we cheque if it'southward possible to paw out exactly 100 brownies to each friend. with five friends, this ways nosotros want to know if nosotros can take out 500 brownies from the tray. we can exercise this 1 time because we have 600 brownies to take from, and when nosotros do that we're left with 100 + 52 brownies to divvy up. so nosotros know that

652 = i*500 + 152

next we desire to know if it'due south possible to mitt out exactly 10 brownies per friend. if nosotros can, nosotros take to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(fifty) = 150, so

152 = iii*fifty + ii

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your five friends? no, you'd demand a minimum of five brownies to do that. so the final ii are yours.

putting everything together, we establish that

652 = 1*500 + 3*l + 2

and we can rearrange this to write

652 = 5*100 + v*thirty + 2

652 = v(100 + 30) + 2

652 = 5*130 + ii

and so and .

yous might be more than accustomed to the table depicting the algorithm. that'south just a meaty way of organizing what we've washed higher up. you lot tin consult the prototype i've fastened below.

1.2 3 Quiz Understanding Historiography,

Source: https://istudy-helper.com/mathematics/question513976456

Posted by: thompsonhispen.blogspot.com

Share this post