DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 4 Solutions Multiplication
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 4: Multiplication. This comprehensive guide covers all unit worksheets: multiplication terms (Multiplicand, Multiplier, Product), properties of multiplication (order, zero, and one properties), multiplying by 10, 100, 1000, 2-digit & 3-digit column multiplication with carrying, and statement word problems strictly aligned with the DAV CMC syllabus.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 4: Multiplication | Multiplication properties, multiplying by 10/100, 2 & 3-digit multiplication, word problems |
Worksheet 1: Multiplication Terms & Repeated Addition
Core Concept: Multiplication is repeated addition of the same number.
In the mathematical statement: $mathbf{8 times 6 = 48}$:
• Multiplicand: The number to be multiplied ($8$).
• Multiplier: The number by which we multiply ($6$).
• Product: The result obtained after multiplication ($48$).
Worksheet 2: Properties of Multiplication
| Property | Mathematical Rule | Example Calculations |
|---|---|---|
| Order Property (Commutative) | Changing the order of factors does not change the product. | $7 times 9 = 9 times 7 = mathbf{63}$ $15 times 4 = 4 times 15 = mathbf{60}$ |
| Multiplication by 1 | Any number multiplied by 1 gives the number itself. | $84 times 1 = mathbf{84}$ $532 times 1 = mathbf{532}$ |
| Multiplication by 0 | Any number multiplied by 0 always results in 0. | $49 times 0 = mathbf{0}$ $1895 times 0 = mathbf{0}$ |
| Grouping Property (Associative) | The product of three numbers remains the same regardless of grouping. | $(2 times 3) times 4 = 6 times 4 = mathbf{24}$ $2 times (3 times 4) = 2 times 12 = mathbf{24}$ |
Worksheet 3: Multiplication by 10, 100, and Multiples of 10
Mental Maths Rules:
• To multiply by 10, insert one zero to the right of the number ($36 times 10 = mathbf{360}$).
• To multiply by 100, insert two zeros to the right ($48 times 100 = mathbf{4800}$).
• To multiply by a multiple of 10 (e.g. 20, 30, 40): multiply the non-zero digits and append the zero ($14 times 30 = (14 times 3) times 10 = 42 times 10 = mathbf{420}$).
- (a) $75 times 10 = mathbf{750}$
- (b) $29 times 100 = mathbf{2900}$
- (c) $18 times 40 = (18 times 4) times 10 = 72 times 10 = mathbf{720}$
- (d) $12 times 50 = (12 times 5) times 10 = 60 times 10 = mathbf{600}$
- (e) $6 times 1000 = mathbf{6000}$
Worksheet 4: Column Multiplication (With Carrying)
| Problem | Working in Columns | Step-by-Step Multiplication | Final Product |
|---|---|---|---|
| (a) $74 times 6$ |
(2) [Carry] 7 4 x 6 —– 4 4 4 |
• $4 times 6 = 24$ (Write 4, carry 2) • $7 times 6 = 42 + 2 = 44$ | 444 |
| (b) $245 times 4$ |
(1)(2) [Carries] 2 4 5 x 4 ——- 9 8 0 |
• $5 times 4 = 20$ (Write 0, carry 2) • $4 times 4 = 16 + 2 = 18$ (Write 8, carry 1) • $2 times 4 = 8 + 1 = 9$ | 980 |
| (c) $318 times 3$ |
(2) [Carry] 3 1 8 x 3 ——- 9 5 4 |
• $8 times 3 = 24$ (Write 4, carry 2) • $1 times 3 = 3 + 2 = 5$ • $3 times 3 = 9$ | 954 |
Worksheet 5: Word Problems on Multiplication (With Statements)
Problem 1: A box contains 24 chocolates. How many chocolates are there in 8 such boxes?
Solution:
Chocolates in 1 box = 24
Total number of boxes = 8
Total chocolates = $24 times 8$
(3)
2 4
x 8
—–
1 9 2
Answer: There are 192 chocolates in 8 boxes.
Problem 2: One notebook has 150 pages. Find the total number of pages in 6 such notebooks.
Solution:
Pages in 1 notebook = 150
Number of notebooks = 6
Total pages = $150 times 6$
(3)
1 5 0
x 6
——-
9 0 0
Answer: There are 900 pages in 6 notebooks.
Problem 3: A bus can carry 52 passengers. How many passengers can travel in 7 such buses?
Solution:
Passengers in 1 bus = 52
Number of buses = 7
Total passengers = $52 times 7$
(1)
5 2
x 7
—–
3 6 4
Answer: 364 passengers can travel in 7 buses.
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