Distributivity of Whole Numbers

Q. Find the product of largest 4 digit number and largest 3 digit number using distributive law.

1. 
   9989001
2. 
   9998001
3. 
   9899001
4. 
   9999001

Q.

Find the product of greatest 4 -digit number and the greatest 3 -digit number using the properties of whole number.

Q.

Find the product of the largest 5-digit no. and the largest 3-digit no. using distributive law .

Q.

Find the following product by using suitable properties $1938\times 99$.

Q.

Find the product of the largest $3-$digit number and largest $4-$digit number using the distributive property.

Q. Find 12 x 85 using distributive property.

1. 
   1200
2. 
   1020
3. 
   1002
4. 2100

Q. Name the property illustrated:

A x (B + C) = (A x B) + (A x C)

1. Distributive property
2. Closure property
3. Associative property
4. Commutative property

Q.

A taxi-driver, filled his car petrol tank with $40$ litres of petrol on Monday. The next day, he filled the tank with $50$ litres of petrol. If the petrol costs $Rs.44$ per litre, how much did he spend in all on petrol?

Q. Find the product of the largest 3-digit number and the largest 5-digit number.

Q. The number of 6 digit numbers that can be made with the digits 1, 2, 3 and 4 and having exactly 2 pairs of digits is, . 1)480. 2)540 3)1080 4)1240

Q. a $\times$ (b + c) = a $\times$ c + b $\times$ a

1. True
2. False

Q. Match the following.

1. Commutativity
2. Associativity
3. Distributivity

Q. A newspaper supplier supplies 200 newspapers in the colony A and 221 newspapers in the colony B every morning. If the cost of newspapers is ₹ 3 each, how much money he receives per day?

1. 
   ₹ 1300
2. 
   ₹ 1350
3. 
   ₹ 1050
4. 
   ₹ 1250

Q. Find the value of 49 x 58 + 42 x 49.

1. 
   498
2. 
   490
3. 
   4900
4. 
   4980

Q. $\text{Use distributivity to solve}25\times 101.$

1. 2525

Q.

Find the product, using suitable properties.
$854\times 102$

Q. The step that involves the addition of the units digits and multiplying the result with one more than the remaining digits is used in which method?

1. Nikhilam Sutra
2. Urdhav Triyak Sutra
3. Special case of multiplication
4. None of the above

Q. 4 x 5 + 3 x 4 =

1. 4 x (5 + 4 )
2. 4 x (5 + 3)
3. 5 x ( 4 + 3)
4. 3 x (5 + 4)

Q. Fill in the blank with correct answer.
294 x 7 = 294 x 4 + 294 x ___

1. 
   7
2. 
   4
3. 
   3
4. 
   11

Q. Fill in the blank.
12 x (10 + __ ) = 12 x __ + 12 x 85

1. 10, 85
2. 85, 10
3. 85, 12
4. 12, 10

Q. Find 12 x 85 using distributive property.

1. 
   1200
2. 
   1020
3. 
   1002
4. 2100

Q. Match the following.

1. Commutativity
2. Associativity
3. Distributivity

Q.

Find the value of the following using distributive property: 300 ✕ 112
(2 marks)

Q. 4 x 5 + 3 x 4 =

1. 4 x (5 + 4 )
2. 4 x (5 + 3)
3. 5 x ( 4 + 3)
4. 3 x (5 + 4)

Q. $(100\times 4)+(100\times 3)=$

1. $100\times (4+3)$
2. $100+(4\times 3)$
3. $(100\times 4)+3$
4. $(100\times 3)+4$

Q.

Find the value of the following using distributive property :

300 ✕ 112

Q.

$297\times 17+297\times 3=\text{\_\_\_}$

1. 5940

2. 5960

3. 5648

4. 6840

Q.

Solve using suitable property, state the property.

134 x 86 + 134 x 28 - 134 x 14

1. 13400, Commutative property

2. 13600, Associative property

3. 13400, Distributive property

4. 13400, Associative property

Q. Find the product of the:
(i) greatest number of three digits and smallest number
of five digits.
(ii) greatest number of four digits and the greatest
number of three digits. [3 Marks]