division

Division

How many 5’s are in 230?

230 is actually 200 + 30 + 0 So, you have 2 (100’s) , 3 (10’s) , and 0 (1’s) Let’s practice What is 456 broken down into 100’s ,10’s, and 1’s? You have 4 (100’s) 5 (10’s) and 6 (1’s) Understanding place value and multiplication facts are key components for

successful division.

First step:

Does 5 x 100 more or less than 230? If the answer is more you

must put a zero in the hundreds column.

2nd step: What 5 x 10’s is closest to 230? (Remember we are now working the tens column.)

5 x 10 = 50 5 x 20 = 100 5 x 40 = 200 5 x 50 = 250 (too much!!) So, now we put the 4 in the tens

place. Which represents 5 x 40 = 200.

You then place the 200 underneath the 230 then subtract to find what remains.

Next we need to find what number goes in the one’s column?

5 x 2 = 10 5 x 3 = 15 5 x 6 = 30 Then you place your 6 in the

one’s column. Place 30 underneath the previous remainder. Then subtract.

Your answer is 46. There are 46 five’s in 230.

Standard Algorithm

Here’s another way to do the same problem. Same question exist. How many 5’s are in 230?

First question you ask is does five go into two? No So, now you must put a zero above the two.

Next you asked. How many 5’s go into 23 without going over? 4 Then you place the 4 in the ten’s column, above the 3. Then you place 20 below the 23 in 230. The 20 represents 5 x 4.

After you subtract 20 from 23. Which is 3 you need to bring down the number in the one’s column (zero).

Then we need to find what goes in the one’s column.

To do that we need to figure out how many 5’s are in 30?

There are six. (5 x 6 = 30) Then you place the 30

underneath the previous remainder (30) then subtract.

Your answer is 46.

Khan Academy video and links for LOOONG DIVISIONHTTPS://WWW.KHANACADEMY.ORG/MATH/ARITHMETIC/MULTIPLICATION-DIVISION/LONG_DIVISION/V/DIVISION-2