4th Class Maths Solutions Chapter 6 Division
Textbook Page No. 2
Think and Discuss
For a
fixed number of papads, if the number of papads in a packet in* creases, then
the number of packets.
Solution:
If the
number of papads in a packet increases, then the number of packets decreases.
Do this
a) If
108 pencils are packed in 9 boxes, then find the number of pencils in each box.
Solution:
Number
of pencils = 108
Number
of boxes = 9
Number
of pencils in each box = 108 ÷ 9
= 12 pencils
Textbook Page No. 6
Do this
1. Find
the quotient and remainder in the following divisions.
Solution: 808 ÷ 8
∴ Quotient = 101
Remainder
= 0
b) 996 ÷
6
Solution: 996 ÷ 6
∴ Quotient = 166
Remainder
= 0
c) 408 ÷
3
Solution: 408 ÷ 3
∴ Quotient = 136
Remainder
= 0
2. A fruit seller packed 108 custard apples in 9 baskets. How many custard apples did each basket hold ?
Solution:
Number
of custard apples = 108
Number
of baskets = 9
Number
of custard apples in a basket = 108 ÷ 9
= 12 apples
Textbook Page No. 10
Do this
1.
Divide and check the result.
Solution:
Dividend = 509
Divisor
= 9
Quotient
= 56
Remainder
= 5
Rule:
Dividend
= (Divisor × Quotient) + Remainder
509 = (9
× 56) + 5
509 =
504 + 5 = 509
......................................................................
b) 721 ÷ 8
Solution:
Dividend = 721
Divisor
= 8
Quotient
= 90
Remainder
= 1
Rule:
Dividend
= (Divisor × Quotient) + Remainder
721 = (8
× 90) + 1
721 =
720 + 1 = 721
C) 802 ÷ 8
Solution:
Dividend = 802
Divisor = 8
Quotient = 100
Remainder = 2
Rule:
Dividend = (Divisor × Quotient) + Remainder
802 = (8 × 100) + 2
721 = 800 + 2 = 802
......................................................................
2. Find
the quotient and remainder in the following division problems.
a) 479 ÷
8
Solution:
Quotient = 59
Remainder
= 7
b) 983 ÷
5
Solution:
Quotient = 59
Remainders
= 7
......................................................................
c) 843 ÷
3
Solution:
Quotient = 281
Remainder
= 0
......................................................................
Try this
1. 240 and 176 are divisible by 16. Can their difference also be divisible by 16 ?
Solution: Difference = 240 – 176
= 64
∴
Difference also be divisible by 16
2. Divide 180 by 1,2,3,4,5 and 6. What do you observe ?
Solution: Dividend = 180
Divisors
= 1, 2, 3, 4, 5 and 8
Observation :
180 is
divided by 1, 2, 3, 4, 5 and 6 exactly In each case 1 got remainder is ‘0’.
Exercise – 6.1
1. If the cost of each pen is ₹ 6, then how many pens can we get for ₹ 864 ?
Solution:
Cost of
each pen = 6
Amount
we have = 864
Number
of pens we get = 864 ÷ 6
Number of pens we get = 144
pens
2. 8 pupils went went to circus and they paid ₹ 360 for tickets. What is the cost of each ticket ?
Solution:
Number
of pupils went to circus = 8
Paid
amount to tickets = 360
3. One sheet of brown paper is needed to cover 6 note books. How many brown sheets are required to cover 114 such books ?
Solution:
Number
of notebooks covered by brown sheet = 6
Total
books we have = 114
Number
of brown sheets required = 114÷ 6
Textbook Page No. 12
4. Fill
the boxes with suitable number.
Solution:
...........................................................
b)
Solution:
5. A drum has 500 litres of water. How many 20 litre cans can be filled with water ?
Solution:
Capacity
of drums = 500 ltrs
Capacity
of can = 20 ltrs
Number
of cans required = 500 ÷ 20
Number of cans required = 25 cans
6. Total bus fare from Vijayanagaram to Visakhapatnam for 9 people is 540. What is the bus fare for each person ?
Solution:
Number
of people in the bus = 9
Total
fare from Vijayanagaram to Visakhapatnam = ₹ 540
Bus fare
for each person = ₹ 540 ÷ 9
Bus fare for each person = ₹ 60
7. 183 ÷ 9 Rakesh did this problem like this
Remainder
= 3
Is
Rakesh correct ? Justify your answer.
Solution:
No,
Rakesh is wrong.
Justification:
∴ Quotient = 20
Remainder
= 3
Textbook Page No. 16
Do this
1. Find
the quotient and the remainder for the following and check your answer.
Solution:
Quotient = 9
Remainder
= 20
Checking:
Dividend
= Divisor × Quotient + Remainder
309 = 15
× 20 + 9
= 300 +
9 = 309
..............................................
b) 768 ÷
19
Solution:
Quotient = 40
Remainder
= 8
Checking:
Dividend
= Divisor × Quotient + Remainder
768 = 19
× 40 + 8
= 760 +
8 = 768
c) 422 ÷
24
Solution:
Quotient = 7
Remainder
= 14
Checking
:
Dividend
= Divisor × Quotient + Remainder
422 = 24
× 17 + 14
= 408 +
14 = 422
................................................
d) 849 ÷
42
Solution:
Quotient = 20
Remainder
= 9
Checking:
Dividend
= Divisor × Quotient + Remainder
849 = 42
× 20 + 9
= 840 +
9 = 849
2. A garment vendor packs 24 T-shirts in a box. If he had 886 T-shirts, how many boxes are required to pack and how many T-shirts would remain unpacked ?
Solution:
Number
of T-shirts in a box = 24
Total
T.shirts = 886
Number
of boxes required = 886 ÷ 24
Number of boxes required = 36 boxes
Number
of unpacked T-shirts = 22
Textbook Page No. 20
Do this
Guess
the remainder and quotient without actual division.
a) 649 ÷
10
Solution:
649 ÷ 10
= 600 + 40 + 9 = 640 + 9
Quotient
= 64
Remainder
= 9
b) 989 ÷
100
Solution:
989 ÷
100 = 900 + 80 + 9 = 900 + 89
Quotient
= 9
Remainder
= 89
c) 701 ÷ 100
Solution:
701 ÷
100 = 700 + 1
Quotient
= 7
Remainder
= 1
d) 683 ÷
100
Solution:
683 ÷
100 = 600 + 80 + 3 = 600 + 83
Quotient
= 6
Remainder
= 83
Exercise – 6.2
1. Dasu needs 3 oranges to make a glass of orange juice. How many glasses of orange juice can be make with 240 oranges ?
Solution:
Number
of organges required to make a glass of juice = 3
Number
of oranges we have = 240
Number
of glasses will make = 240 ÷ 3
Number of glasses will make = 80 glasses
2. The cost of a mango is ₹ 15. How many mangoes can be purchased for ₹ 210 ?
Solution:
Cost of
a mango is = ₹ 15
Money we
have = ₹ 210
Number
of mangoes we can be purchased = 210 ÷ 15
Textbook Page No. 22
3. The earth takes 24 hours to complete One rotation. How many rotations can it make in 144 hours ?
Solution:
Number
of hours to complete one rotation = 24 hrs
Number
of hours we have = 144 hrs
Number
of rotations = 144 ÷ 24
4. A school bus can accommodate 50 children. How many such buses are needed to accommodate 250 children ?
Solution:
Capacity
of school bus = 50 children
Number
of children = 250
Number
of buses required = 250 ÷ 50
Number of buses required = 5
buses
5. 160 children get into teams of 4. How many such teams can they form ?
Solution:
No. of
children in each team = 4
Number
of children in Total = 160
Number
of teams = 160 ÷ 4
Number of teams = 40 teams
6. How many weeks make 126 days ? (7 day are in one week)
Solution:
Number
of days in a week = 7
Number
of days in week = 126
Number
of weeks = 126 ÷ 7
= 18 weeks
7. Sanju bought 360 crayons in packets of 15 each. How many packets of crayons did Sanju buy ?
Solution:
Number
of crayons in each packet = 15
Sanju
have crayons = 360
Number of packets Sanju bought = 360 ÷ 15
8. Fill
in the missing digits in the division and find the quotient and the remainder.
Solution:
Remainder
= 20
b)
Solution:
Quotient = 14
Remainder
= 9
9. Rani did the problem in way.
Solution:
It is
wrong.
Justification:
Quotient = 21
Remainder
= 1
10. A small scale industry made 750 candles in a week. The candles were packed in a packet of 12 each. How many packets were made and how many candles were left behind ?
Solution:
Number
of candles made in a week = 750
Number
of candles packed in a packet = 12
Number
of candles were made = 750 ÷ 12
∴
Number of candles left = 6
