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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)

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Division

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  1. Division

  2. How many 5’s are in 230?

  3. 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.

  4. 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.

  5. 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.

  6. 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.

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

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

  9. 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.

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

  11. 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.

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