Fill the missing blocks.


Solve the following.


Fill in the blanks.
Determine the product of the numbers given below without multiplying directly.
a. 167 x 999
b. 5001 x 999
c. 96 x 125
d. 587 x 125
e. 7547 x 125

Determine the product of the numbers given below without multiplying directly.
a. 67 x 5
b. 399 x 5
c. 56 x 25
d. 841 x 25
e. 8547 x 25

Determine the product of the numbers given below without multiplying directly.
a. 86 x 9
b. 199 x 9
c. 483 x 99
d. 2456 x 99
e. 5682 x 99
a. 86 x 9 = (86 x 10) – 86
= 860 – 86
= 774
b. 199 x 9 = (199 x 10) -199
= 1990 – 199
= 1791
c. 483 x 99 = (483 x 100) – 483
= 48300 – 483
= 47817
d. 2456 x 99 = (2456 x 100) – 2456
= 245600 – 2456
= 243144
e. 5682 x 99 = (5682 x 100) – 5682
= 568200 – 5682
= 562518
Write your own number patterns.
Answers may vary.
Hint:
2 X 5 = 10
4 X 5= 20
6 X 5 = 30
8 X 5 = 40
Observe the pattern and make two similar patterns.

Answer May Vary
Probable Answer:
a. 14 + 14 = 28
15 + 13 = 28
16 + 12 = 28
b. 25 + 41 = 66
26 + 40 = 66
27 + 39 = 66
Observe the pattern and complete the number tower.


Observe the pattern and complete the number tower.


Complete the magic triangle.
Hint: Sum on each side of the triangle is 9.


Fill these stars by using the numbers 1-9 and the rules that numbers on each line add up to 12.

Answers may vary

Complete the patterns.


16 fans cost ₹ 9,254. Estimate the cost of one fan.

786 students of a school went for picnic by bus. If a bus carries 35 students, how many buses were used?

Suppose a car covers a distance of 225 km in 15 hours. How much distance will it cover in one hour?
Suppose you have organised a party at your house and invited 38 persons. You have bought 85 chocolates. Approximately how many chocolates will you distribute to each?
Number of persons = 38
Number of chocolates = 85

Suppose you have to distribute 19 cookies to 6 children, approximately how many cookies will you distribute to each child?
Approx. 2 cookies
Divide 6893 by 135.

Thus, 6893 ÷ 135 = 51 remainder 8
Divide 9563 by 441.

Thus, Quotient = 21
Remainder = 302
Divide 2586 by 243.

Thus, Quotient = 10
Remainder = 156
Divide 1478 by 652.
Thus, Quotient = 2
Remainder = 174
Divide 9368 by 123.
Thus, Quotient = 76
Remainder = 20
2146 children were made to sit in 33 rooms for the annual examination. Estimate the number of children sitting in each room.
412 apples were shared equally among 17 students. How many apples did each one get? Estimate.
Number of apples = 412
Number of students = 17

The total train fare for 17 persons was ₹ 6494. Estimate the fare of one person.

Estimate the number of pencils Natasha can buy, if she has ₹ 675 and each pencil costs ₹ 7.

Estimate the number of cartons required to carry 5796 toys, if each carton can hold 46 toys.
A bus can accommodate 135 people. Estimate the number of buses required for transporting 3498 people?

Suppose a train covers a distance of 1327 km in 12 hours. About how many kilometers does the train travel per hour?

Thus, the train covers a distance of 130 km in an hour.
Sally has ₹ 4,753. She wants to buy chocolates. If each chocolate costs ₹ 55, estimate the number of chocolates she can buy.

A clothing store has 965 sweaters. If the sweaters are stored in piles of 8, about how many piles should the store make?
Estimate the quotients of the following.
a. 43 ÷ 6
b. 79 ÷ 9
c. 84 ÷ 19
d. 78 ÷ 41
e. 89 ÷ 79
a. Approx. 4
b. Approx. 8
c. Approx. 4
d. Approx. 2
e. Approx. 1
Observe the pattern and work out the next row.


Observe the pattern and work out the next row.


Observe the pattern and work out the next row.


Observe the pattern and work out the next row.


Observe the pattern and fill in the blanks.
1, 2, 3; 2, 3, 6; 3 , 4, 9; ______; ______
1, 2, 3; 2, 3, 6; 3 ,4, 9; _4 , 5, 12_; _5, 6, 15_
Observe the pattern and fill in the blanks.
9 X 9 + 7 = 88
98 X 9 + 6 = 888
987 X 9 + 5 = 8888
9876 X 9 + 4 = _______
98765 X 9 + 3 = ________
987654 X 9 + 2 = __________
9876543 X 9 + 1 = ___________
98765432 X 9 + 0 = _____________
9 X 9 + 7 = 88
98 X 9 + 6 = 888
987 X 9 + 5 = 8888
9876 X 9 + 4 = _88888_
98765 X 9 + 3 = _888888_
987654 X 9 + 2 = _8888888_
9876543 X 9 + 1 = _88888888__
98765432 X 9 + 0 = _888888888__
Observe the pattern and fill in the blanks.
37 X 44 = 1628
37 X 444 = 16428
37 X 4444 = 164428
37 X 44444 = ________
37 X 444444 = __________
37 X 44 = 1628
37 X 444 = 16428
37 X 4444 = 164428
37 X 44444 = _1644428_
37 X 444444 = _16444428_
Observe the pattern and fill in the blanks.
9 X 4 = 36
9 X 44 = 396
9 X 444 = 3996
9 X 44,444 = ______
9 X 4,44,444 = _______
9 X 4 = 36
9 X 44 = 396
9 X 444 = 3,996
9 X 44,444 = _39,996__
9 X 4,44,444 = _3,99,996_
Observe the pattern and fill in the blanks.
Fill in the blanks:
Estimate the number of 50 rupee notes I can get for ₹ 9682.

One dozen oranges cost ₹ 62. How many dozens of oranges can be bought for ₹ 580?
Cost of one dozen oranges = ₹ 62
Total money = ₹ 580

A car travels 576 km in 12 hours. About how many kilometers does it travel in an hour?
List all the numbers that can be rounded to the following numbers.
Round off 758 to the nearest hundred.
a. 758 rounded off to the nearest hundred is 800.
Round off 398 to the nearest hundred.
400
Round off the digit '17' to the nearest ten.
20
What is ignored while estimating the quotient?
a. quotient
b. dividend
c. divisor
d. remainder
remainder
What is the first step for estimating quotients?
The first step while estimating quotients is toround off the number to the nearest ones, tens, hundreds, thousands and so on.
What is Estimation?
Estimation is just an approximate value, close to the exact value.
Find the quotient and remainder when 4580 is divided by 8.
Thus, Quotient = 572
Remainder = 4
Divide 1971 by 9.

Divide 5741 by 9.

Thus, Quotient = 637
Remainder = 8
Divide 6876 by 7.

Divide 2143 by 4.

Divide 9620 by 20.
9620 ÷ 20 = 481
Divide 2569 by 1000.
Divisor = 1000
Quotient = 2
Remainder = 569
Divide 276 by 10.
Divisor = 10
Quotient = 27
Remainder = 6
Find the quotient.
4615 ÷ 13
4615 ÷ 13 = 355
Find the quotient.
2160 ÷ 12
2160 ÷ 12 = 180
Find the quotient.
1935 ÷ 43
1935 ÷ 43 = 45
Find the quotient.
1728 ÷ 12
1728 ÷ 12 = 144
Find the quotient.
1287 ÷ 9
1287 ÷ 9 = 143
Find the quotient.
3724 ÷ 14
3724 ÷ 14 = 266
Find the quotient.
1560 ÷ 13
1560 ÷ 13 = 120
Estimate the quotients for the following.

Estimate the number of candies 29 children get, if there are 94 candies in all.

If you bought 6 items for ₹ 758, then about how much money did each item cost?

Estimate the quotients of the following.

a. Approx. 15
b. Approx. 90
c. Approx. 10
Estimate the number of trunks required to pack 1243 shirts, if each trunk can hold 48 shirts.

In a multiplication sum, the multiplier was 246 and the product was 9594. What was the multiplicand?
Multiplier = 246
Product = 9594
Multiplicand =?
Product = Multiplier X Multiplicand
Multiplicand = Product ÷ Multiplier
= 9594 ÷ 246

Thus, the multiplicand is 39.
36 children collected
4,500 for a charity. All of them contributed the same amount. How much money did each child give?
Amount collected =
4500
Number of children = 36
Amount given by each child =
(4500 ÷ 36)

Thus, each child gave
125.
The bill of a lunch party was
5,247. There were 11 members who attended the party. If the bill is to be equally divided among all, how much will each member pay?
Bill of lunch party =
5,247
Number of members = 11
Amount paid by each member =
(5247 ÷ 11)

Thus, each member will pay an amount of
477.
How many boxes will be required to carry 9985 chocolates, if one box can hold 220 chocolates?
Total number of chocolates = 9985
Number of chocolates in each box = 220
Number of boxes required = 9985 ÷ 220

Thus, 46 boxes were required to pack 9985 chocolates.
How many 50 rupees notes can I get from
9,960? What amount of money will be left?

Thus, Quotient = 51
Remainder = 8
Find the LCM of 65, 115, and 130
Prime factors of 65 = 5 X 13
Prime factors of 115 = 5 X 23
Prime factors of 130 = 2 x 5 X 13
LCM of 65, 115 and 130 = 2 X 5 X 13 X 23
= 2990
Find the LCM of 39, 195
Prime factors of 39 = 3 X 13
Prime factors of 195 = 3 X 5 X 13
LCM of 39 and 195 = 3 X 5 X 13
= 195
Find the LCM of 98, 147
Prime factors of 98 = 2 X 7 X 7
Prime factors of 147 = 3 X 7 X 7
LCM of 98 and 147 = 2 X 3 X 7 X 7
= 294
Find the HCF of 24 and 32.
Prime factors of 24 = 2 X 2 X 2 X 3
Prime factors of 32 = 2 X 2 X 2 X 2 X 2
HCF of 24 and 32 = 2 X 2 X 2
= 8
Find the HCF of 24 and 36.
24 = 2 X 2 X 2 X 3
36 = 2 X 2 X 3 X 3
HCF of 24 and 36 = 2 X 2 X 3
= 12
What is the HCF of 14 and 21?
HCF of 14 and 21 = 7
What is the LCM of 18 and 12?
LCM of 18 and 12 = 36
What is the LCM of 4 and 16?
LCM of 4 and 16 = 16
Give any two pairs of co-prime numbers.
9, 5; 4, 9
What are co-prime numbers?
Co-prime numbers are those numbers which have only 1 as their common factor.
Choose the pair of number from the following in which the second number is a multiple of first number.


What is the difference between the second multiple of 15 and third multiple of 14?
12
List first five multiples of 15.
Multiples of 15 = 15, 30, 45, 60, 75
List first five multiples of 10.
Multiples of 10 = 10, 20, 30, 40, 50
What is the 9th multiple of 32.
9th multiple of 32 = 32 x 9 = 288







We multiply the denominator of the fraction with the whole number.

Denominator = 7
So, we get = 5 X 7
= 35
Now, we add the numerator to the product of 5 and 7.
Therefore, we add 35 + 3 = 38.





