## Monday, December 19, 2016

### Explain the Remainder

Suppose you have 134 stamps in your collection.  You want to display them on 5 pages of an album with about the same number of stamps on each page.  About how many stamps should go on each page? To solve, first we have to estimate. There are many different estimates. 150/5, 135/5 and even 130/5. Any of these estimates are reasonable. To check your work you can do the real division which results in 26 r 4. This meant that 4 of the 5 pages would have 27 stamps and one page would have 26 stamps.

• uses division to solve
• requires estimation
• results in a remainder
• requires an explanation of that remainder
Make sure you write the problem and do all the work!

1. A school is stacking 197 papers into 7 stacks. How many pieces of paper are in a stack? A good estimate would be 210 \ 7 =30 the exact answer is 197 / 7 =28 R1 meaning there would be 28 pieces of paper in 6 stacks and 29 pieces in one stack.

2. I have 167 Girl Scouts cookies. There are 4 boxes. If there are about the same number of cookies in each box, how many cookies should go in each box?
First, estimate. 167 can round to 160, and 160÷4=40. There should be about 40 cookies in each box.
Next, do the exact math. 167÷4 results in 41 r3. This means that there will be 3 boxes with 42 cookies, and one with 41.

3. By Grace
There are 258 lights on 5 strings. First, estimate. Round 258 to 250 and keep 5 the same. 250/5=50. The exact answer is 258/5=51R3. That means there are 51 lights on 2 strings and 52 lights on 3 strings. - Grace

4. There are 283 baseballs. I want to split the the baseballs into 4 of my friends including me. Use estimation to solve the problem.

First you round 283 to 280and keep the 4 as it is.
Then you divide 280 by 4 which equals 70.
The exact answer of 283/4 is 70R3.
This means three friends will get 71 baseballs and one friend would get 70 baseballs.

5. By Anthony
There are 153 muffins. I have some boxes that can each hold 16 muffins. How many boxes will I need? 153/16=9R9. To check, round 153 to 150 and 16 to 15. 150/15=10. This means that 9 boxes will hold 16 muffins and 1 box will hold 9 muffins. I will need 10 boxes.

6. Shadman has 243 candles. He needs to sort them into 12 boxes. About how many do I need. To check, I rounded 243 to 240, left the 12, and got 20 . The exact answer is 20R3 which is close to 20. So that means that there would be 240 candles in the 20 boxes and 3 candles in one box. So that means 21 boxes - Shadman

7. I have 143 medals. There are 7 boxes. If there are about the same number of medals in each box, how many medals should go in each box?
First, estimate 143 to 140 divided by 7=20. Next, do the exact math.
143 divided by 7=20 remainder 3. So there will be 6 boxes with 20 medals in each and 1 box with 3 medals.-Kelsey ps. I couldn't find the division sign.

8. Caillou has 448 marbles. He has 5 boxes and wants to put the about same number of marbles in each of the boxes. About how many marbles will go in each box?

To solve, first round 448 to 450, but leave 5 just the way it is. Next, divide 5 into the estimate of 450 to get about 90. That means that there will be about 90 marbles in each box. After that, we do the exact math. 448/5=89 r3. This means that 3 boxes will have 90 marbles, and 2 boxes will have 89 marbles.

9. Bella had 119 pencils. She needed to put them into 6 groups with about the same number of pencils in each group. How many pencils will each group get?

To solve this problem you have to estimate 119 to 120 and 6 to 5 or 10. Then you have to do the exact problem 119 divided by 6=19R5. So that means 5 groups have 20 pencils, and the 6th group has 19 pencils.

10. Bella had 119 pencils. She needed to put them into 6 groups with about the same number of pencils in each group. How many pencils will each group get?

To solve this problem you have to estimate 119 to 120 and 6 to 5 or 10. Then you have to do the exact problem 119 divided by 6=19R5. So that means 5 groups have 20 pencils, and the 6th group has 19 pencils.

11. Reagan's Christmas tree needs to be undecorated. She has 214 ornaments on the tree that need to be placed into 3 containers. How many ornaments can go into each container? How many ornaments will be left over?

To solve, first we have to estimate. There are many different estimates. 210/3, 180/3 and even 240/3. Any of these estimates are reasonable. To check your work you can do the real division which results in 71 r 1. This meant that 3 of the 3 containers would have 71 ornaments and one container would have 72 ornament.

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13. Julia T.

Julia has 23 boxes of straws. There are 424 straws all together. How many straws are in each box? Do we need more boxes?

To solve this problem you first need to estimate, change 424 to 400 and change 23 to 20. 400 divided by 20 equals 20, so the answer will be around 20. Now you do the real division 424 divided by 23 equals 18 with a remainder of 14. each box will have 18 straws in it and you will need an extra box, that box will have 14 straws in it.

14. Dillan has 152 books. He can fit 11 on each shelf and wants each shelf full. How many will be left over

150 / 10 = 15

152 / 11 = 13 R9
There will be 9 books left

15. Matthew has 167 Christmas cookies. He needs to put the cookies in to boxes that hold 10 Christmas cookies each. About how many boxes will he need?

First I round 167 to 170.
10 goes into 170 17 times.
So your estimate is 17 boxes.

First I look at the hundreds can 10 go into 6 no it cant so I will do 10 into 16.
10 goes into 16 one time so I put a one at the top.
then I do 10-16=6.
so I put the remaining 7 down by the 6.
then I do 10 into 67.
10 goes into 67 six time so I put a six at the top.
then at the top I put a r and then next to my r I put the remaining 7 next to the r.
I would need 17 boxes because I cant throw away 7 cookies.

16. Jules has 148 Christmas ornaments. Jules needs to put 15 in each box. About how many boxes will Jules need?

For my estimate I’m going to change 148 to 150 and keep 15 as is. The quotient is 10. Now you have to do the exact math which would be 148 divided by 15 which equals 9 r13. So Jules will need about 10 boxes because the other 13 ornaments need somewhere to go.

p.s. i also could not find the divide sign

17. Max has 39 DVD’s, he has 7 shelves to store them on. Max wants to put about the same amount on each shelf. About how many DVD’s would be on each shelf??

You could round 39 to 35, and leave seven the same
The real answer is 5 R4, so there are 4 shelves with 6 DVD’s and 3 with 5 DVD’s

18. Keshob has \$386 he wants to buy presents to donate to charity each present costs \$20 how many presents can Keshob buy?

He can buy 19 presents and gets \$6. I rounded 386 to 380 and then did the math. I got 19 and since I know that 6 doesn’t go into 20 it has to be a remainder so 386 ➗20 = 16 r6

P.S sorry that I turned it in a little late and Merry Christmas!

19. Shreya has 572 pictures from her vacation. She wants to put them into an album. Each page has 7 sleeves. How many pages will she use?
A good estimate is 560/7 which is 80.The actual answer is 81R5 because 572/7= 81R5.
She will use 82 pages in total.
81 pages will be completely filled.
1 page will not be filled completely.

20. Vincent has 179 marbles and wants to split them evenly into 8 boxes. About how many marbles will be in each box? You can round 179 to 170 and 8 to 10. The real answer would be 179 divided by 8 = 22 R3.
It is a remainder 3 because 3 of the left over marbles are not needed.

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Jenna has 429 bananas, and she wants to put them into 5 groups. How many will be in each group?
A good estimate is 430/5=86.
429 divided by 5 equals 85R4
She will have 85 groups with 4 bananas left over.
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