Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
In Multiplication of Whole Numbers Worksheet you will get different types of problems on properties of multiplication of whole numbers, multiplication of whole numbers on a number line and word problems on multiplication of whole numbers.
1. Find the product by grouping suitably: 20 × 3456 × 5.
Solution:
20 × 3456 × 5
= (20 × 5) × 3456; [Rearranging the numbers in suitable order]
= 100 × 3456
= 3,45,600
2. Find the product: 125 × 12 × 243 × 16.
Solution:
= (125 × 16) × (12 × 243) [Rearranging the numbers in suitable order]
= 2000 × 2916
= 58,32,000
3. Find the value of 345 × 67 + 345 × 33 using the distributive property.
Solution:
345 × 67 + 345 × 33
= 345 × (67 + 33); [Using distributive property]
= 345 × 100
= 34,500
4. Find the value of 789 × 78 + 789 × 15 + 789 × 7
Solution:
789 × 78 + 789 × 15 + 789 × 7
= 789 × (78 + 15 + 7); [Using distributive property of multiplication]
= 789 × 100
= 78,900
5. Multiply 35 × 192 using the properties of multiplication.
Solution:
35 × 192
= 35 × (200 – 8); [Writing 192 as 200 – 8]
= 35 × 200 – 35 × 8; [Using distributive property of multiplication of whole numbers]
= 7,000 – 280
= 6,720
6. Verify the associative property of multiplication for whole numbers 15, 20 and 40.
Solution:
We have the whole numbers 15, 20 and 40.
Hence, verified.
7. Use distributive property to simplify the following:
(i) 193 × 2035
(ii) 499 × 9831
Solution:
(i) 193 × 2035
= (200 – 7) × 2035; [Using distributive property]
= 200 × 2035 – 7 × 2035
= 407000 – 14245
= 3,92,755
(ii) 499 × 9831
= (500 – 1) × 9831; [Using distributive property]
= 500 × 9831 – 1 × 9831
= 4915500 – 9831
= 49,05,669
8. What is the product of the greatest 5-digit number and the smallest 7-digit number?
Solution:
The greatest 5-digit number = 99999
The smallest 7-digit number 1000000
Product = 99999 × 1000000 = 99999000000
Hence, the product is 99,99,90,00,000.
Worksheet
1. Fill in the blanks to make the statements true:
(i) 465 × 82 = _____ × 465
(ii) 187 × _____ = 42 × 187
(iii) 30 × 40 × _____ = 60000.
2. Match the following:
|
(i) 472 × 167 = 472 × (7 + 60 + 100) |
(a) Multiplicative property of 1 |
|
(ii) 39 × 80 × 52 = 52 × 39 × 80 |
(b) Distributivity of multiplication over addition |
|
(iii) 6 × 1 = 1 × 6 = 6 |
(c) Commutativity under multiplication |
3. By suitable rearrangement, find the product:
(i) 4 × 1834 × 25
(ii) 8 × 125 × 354
(iii) 350 × 125 × 4 × 8
(iv) 1854 × 654 × 0 × 15
4. Multiply:
(i) 825 × 543
(ii) 53724 × 582
5. Use distributive property to simplify the following:
(i) 593 × 52
(ii) 567 × 294
(iii) 68 × 197
(iv) 48318 × 302
6. Using the smallest 6-digit number and the greatest
5-digit number, verify the closure property for multiplication.
7. If w is any whole number and w × w = w, then what
is the value of y?
8. Simplify using distributive property:
(i) 275 × 4 + 6 × 185
(ii) 127 × 48 + 127 × 2
(iii) 65 × 784 – 27 × 784 – 6 × 784
(iv) 56789 × 167 – 52 × 56789 – 56789 × 15
9. Nairitee purchases 45 English Story books and 45
Grammar books for her class. If the cost of a English Story book is Rs. 26 and
that of a Grammar book is Rs. 24, how much did she pay to the shopkeeper?
10. A dealer sold 354 laptops in a year. If he
collected 32,659 for each laptop, what was his total collection that year?
11. Find the product of the greatest 3-digit number
and the smallest 9-digit number.
12. Michael filled his bus diesel tank with 45 litres
of diesel on Friday. The next day, he filled the tank with 37 litres of diesel.
If the diesel costs 95 per litre, how much did he spend in all on diesel?
13. Is the product of two odd numbers always an odd
number?
14. Is the product of two even numbers not always an
even number?
15. On multiplying of an odd number by an even
number, what product will we get always? (odd / even)
 |
 |
Answer:
1. (i) 82
(ii) 42
(iii) 50
2. (i) → (b)
(ii) → (c)
(iii) → (a)
3. (i) 183400
(ii) 354000
(iii) 1400000
(iv) 0
4. (i) 447975
(ii) 31267368
5. (i) 30836
(ii) 166698
(iii) 13396
(iv) 14592036
6. 100000 × 99999 = 9999900000, Which is a whole Number.
7. w = 1
8. (i) 2750
(ii) 6350
(iii) 25088
(iv) 5678900
9. Rs. 2250
10. Rs. 11561286
11. 99,900,000,000.
12. Rs. 8550
13. Yes
14. No
15. Even
From Multiplication of Whole Numbers Worksheet to HOME PAGE
Didn’t find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.