As we all know, division is to distribute a sure worth or amount into teams of equal values. In lengthy division, values in particular person digits (1000’s, A whole lot, Tens, Ones) are divided one after the other, beginning with the very best digit.
Cut up by Single Digit Divider
one. divide 27 by 9
Resolution:
Let’s divide.
Step I: Sort 27 within the parenthesis and 9 to the left of the parenthesis. Step II: Begin dividing from left to proper so divide 2 by 9. Since we can not divide 2 by 9, we’ll divide 27 by 9. Step III: Bear in mind desk 9. 9 × 3 = 27 Now kind 3 within the partition and subtract 27 from 27. The result’s 0. Thus, 27 ÷ 9 = 3 |
2. divide 92 by 4
Resolution:
Let’s divide.
Step I: Sort 92 within the parenthesis and 4 to the left of the parenthesis. Step II: Begin dividing from left to proper, that’s, divide 9 tens by 4. 4 × 2 = 8 4 × 3 = 12 12 tens is bigger than 9 tens, so we get 4 × 2 = 8 tens. Step III: Sort 2 within the partition. Step IV: Subtract 8 from 9 and get a the rest of 1. Step V: Convey the two down from those place and write it to the suitable of the 1. 12 new dividends. Step VI: Sort 3 within the partition and subtract 12 from 12. The result’s 0. Thus, 92÷4 = 23 |
3. Discover the quotient and the rest of 649 ÷ 9.
Resolution:
Step I: First we begin dividing faces. Since 6 faces can’t be divided into 9 hundred teams, the quotient within the faces column is zero. Step II: 6 A whole lot at the moment are modified to 60 tens and 4 tens added to 64 tens. Step III: 64 tens yields 9 teams of seven tens every, leaving 1 ten. Step IV: 1 ten offers 10, 10 + 9 = 19 Step V: 19 items of 9 will be divided into 2 teams and 1 stays. |
q = 72; r = 1 |
Division with Two Digit Dividers
4. Divide 2698 by 21.
Resolution:
Bear in mind the lengthy division course of.
Step I: 2 thousand can’t be divided into teams of 21 thousand. Thus, 0 is put because the division within the 1000’s column. Step II: It offers 2 thousand 20 hundred. 20 faces + 6 hundred offers 26 faces. 26 faces make 1 group with 21 faces. 5 hundred left. Step III: Offers 5 hundred 50 grains. |
q = 128; r = 10 |
So 50 tens + 9 tens = 59 tens
59 tens will probably be divided into 21 teams of tens
59 tens ÷ 21 makes 2 teams and 17 tens stay.
2 is positioned within the part within the tens column.
Step IV: 17 tens = 170 ones
170 ones + 8 ones = 178 ones
178 a ÷ 21 makes 8 teams with 10 remaining.
Thus, dividing 2.698 by 21, we get 128 because the quotient and 10 as the rest.
Phrase Issues in Lengthy Division:
To unravel any phrase downside, we should learn every phrase rigorously and thoroughly choose the numbers from the query to unravel it.
5. If 60 cookies are positioned in 5 packages, what number of cookies will slot in one bundle?
Resolution: Variety of cookies = 60 cookies Evenly distributed in 5 packs Variety of cookies in a pack = 60 ÷ 5 |
Thus, there will probably be 12 cookies in a bundle.
Dividing 2-Digit Quantity by 1-Digit Quantity:
The division will be represented in two methods. eg Brief type and Lengthy type.
Brief types of division – |
Lengthy division types – |
Lengthy Cut up Questions and Solutions:
I. Divide and discover the quotient:
(i) 85 ÷ 5 =
(ii) 54 ÷ 3 =
(iii) 63 ÷ 7 =
(iv) 60 ÷ 3 =
(v) 42 ÷6 =
(vi) 32 ÷ 8 =
(vii) 88 ÷ 8 =
(viii) 69 ÷ 3 =
(ix) 48 ÷ 3 =
(x) 42 ÷ 6 =
(xi) 68 ÷ 4 =
(xii) 96 ÷ 6 =
Reply:
I. (I am 17
(ii) 18
(iii) 9
(iv) 20
(v) 7
(vi) 4
(vii) 11
(viii) 23
(ix) 16
(x) 7
(x) 17
(xii) 19
II. Resolve the given phrase issues associated to lengthy division.
1. Shelly has 75 pencils. She shares these amongst her 5 buddies. What number of pencils does every good friend get?
2. III. There are a complete of 70 kids within the class. III. If there are 5 sections within the classroom, what number of kids are there in every part?
3. There are 68 birds in 4 cages in a zoo. What number of birds are in every cage?
4. Jack the Clown has 99 balloons to share with the 9 youngsters on the honest. What number of balloons will every little one get?
5. Nancy has 96 candies. She has 8 baggage. He needs to place the identical quantity of sugar in every bag. What number of will he put in every bag?
6. Mike organized 24 seats in 4 rows for a celebration. What number of chairs are in every row?
7. You will have 60 gum balls that it is advisable share equally in 5 containers. What number of gumballs will there be in every container?
8. There are 96 books on the shelf. If the books are equally divided into 4 desk teams within the classroom, what number of books will there be on every desk?
Reply:
II. 1.15
2. 14
3. 17
4. 11
5. 12
6. 6
7. 12
8. 24
third Grade Arithmetic Classes
From the Lengthy Part to the HOMEPAGE
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