- (a) $4text{ kg} = 4 times 1000 = mathbf{4000text{ g}}$
- (b) $7text{ kg } 250text{ g} = (7 times 1000) + 250 = 7000 + 250 = mathbf{7250text{ g}}$
- (c) $9text{ kg } 50text{ g} = (9 times 1000) + 50 = 9000 + 50 = mathbf{9050text{ g}}$
- (d) $3text{ kg } 5text{ g} = 3000 + 5 = mathbf{3005text{ g}}$
- (e) $12text{ kg } 700text{ g} = 12000 + 700 = mathbf{12700text{ g}}$
2. Convert into Kilograms and Grams:
- (a) $5450text{ g} = mathbf{5text{ kg } 450text{ g}}$
- (b) $8075text{ g} = mathbf{8text{ kg } 75text{ g}}$
- (c) $3008text{ g} = mathbf{3text{ kg } 8text{ g}}$
- (d) $9000text{ g} = mathbf{9text{ kg}}$
Worksheet 2: Addition and Subtraction of Weight
| Addition Working | Subtraction Working |
|---|---|
|
Add: $35text{ kg } 450text{ g} + 18text{ kg } 750text{ g}$ kg g (1) (1) 35 450 + 18 750 ————– 54 200 Sum = 54 kg 200 g |
Subtract: $50text{ kg } 250text{ g} – 28text{ kg } 650text{ g}$ kg g (49) (1250) 50 250 – 28 650 ————– 21 600 Difference = 21 kg 600 g |
Worksheet 3: Word Problems on Weight (With Statements)
Problem 1: A grocer sold $45text{ kg } 500text{ g}$ of rice on Saturday and $62text{ kg } 750text{ g}$ on Sunday. How much rice did he sell in all during the weekend?
Solution:
Rice sold on Saturday = $45text{ kg } 500text{ g}$
Rice sold on Sunday = $62text{ kg } 750text{ g}$
Total rice sold = $45text{ kg } 500text{ g} + 62text{ kg } 750text{ g}$
kg g
45 500
+ 62 750
————–
108 250
Answer: The grocer sold 108 kg 250 g of rice in all.
Problem 2: A vegetable basket full of tomatoes weighs $12text{ kg } 400text{ g}$. If the empty basket weighs $1text{ kg } 850text{ g}$, find the net weight of tomatoes.
Solution:
Total weight of basket with tomatoes = $12text{ kg } 400text{ g}$
Weight of empty basket = $1text{ kg } 850text{ g}$
Net weight of tomatoes = $12text{ kg } 400text{ g} – 1text{ kg } 850text{ g}$
kg g
11 1400
– 1 850
————–
10 550
Answer: The net weight of tomatoes is 10 kg 550 g.
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DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 9 Solutions Weight
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 9: Weight. This unit covers standard units of mass (gram g and kilogram kg), conversions between kilograms and grams ($mathbf{1 text{ kg} = 1000 text{ g}}$), column addition and subtraction of weights with borrowing, and everyday grocery word problems strictly adhering to the DAV CMC curriculum.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 9: Weight | Kilogram (kg), gram (g), unit conversion, addition & subtraction of mass, word problems |
Worksheet 1: Units of Weight & Conversions
Core Mathematical Fact:
$$mathbf{1 text{ kilogram (kg)} = 1,000 text{ grams (g)}}$$
• $frac{1}{2} text{ kg} = 500 text{ g}$ | $frac{1}{4} text{ kg} = 250 text{ g}$ | $frac{3}{4} text{ kg} = 750 text{ g}$
1. Convert into Grams (g): Multiply the kilograms by 1,000 and add the grams.
- (a) $4text{ kg} = 4 times 1000 = mathbf{4000text{ g}}$
- (b) $7text{ kg } 250text{ g} = (7 times 1000) + 250 = 7000 + 250 = mathbf{7250text{ g}}$
- (c) $9text{ kg } 50text{ g} = (9 times 1000) + 50 = 9000 + 50 = mathbf{9050text{ g}}$
- (d) $3text{ kg } 5text{ g} = 3000 + 5 = mathbf{3005text{ g}}$
- (e) $12text{ kg } 700text{ g} = 12000 + 700 = mathbf{12700text{ g}}$
2. Convert into Kilograms and Grams:
- (a) $5450text{ g} = mathbf{5text{ kg } 450text{ g}}$
- (b) $8075text{ g} = mathbf{8text{ kg } 75text{ g}}$
- (c) $3008text{ g} = mathbf{3text{ kg } 8text{ g}}$
- (d) $9000text{ g} = mathbf{9text{ kg}}$
Worksheet 2: Addition and Subtraction of Weight
| Addition Working | Subtraction Working |
|---|---|
|
Add: $35text{ kg } 450text{ g} + 18text{ kg } 750text{ g}$ kg g (1) (1) 35 450 + 18 750 ————– 54 200 Sum = 54 kg 200 g |
Subtract: $50text{ kg } 250text{ g} – 28text{ kg } 650text{ g}$ kg g (49) (1250) 50 250 – 28 650 ————– 21 600 Difference = 21 kg 600 g |
Worksheet 3: Word Problems on Weight (With Statements)
Problem 1: A grocer sold $45text{ kg } 500text{ g}$ of rice on Saturday and $62text{ kg } 750text{ g}$ on Sunday. How much rice did he sell in all during the weekend?
Solution:
Rice sold on Saturday = $45text{ kg } 500text{ g}$
Rice sold on Sunday = $62text{ kg } 750text{ g}$
Total rice sold = $45text{ kg } 500text{ g} + 62text{ kg } 750text{ g}$
kg g
45 500
+ 62 750
————–
108 250
Answer: The grocer sold 108 kg 250 g of rice in all.
Problem 2: A vegetable basket full of tomatoes weighs $12text{ kg } 400text{ g}$. If the empty basket weighs $1text{ kg } 850text{ g}$, find the net weight of tomatoes.
Solution:
Total weight of basket with tomatoes = $12text{ kg } 400text{ g}$
Weight of empty basket = $1text{ kg } 850text{ g}$
Net weight of tomatoes = $12text{ kg } 400text{ g} – 1text{ kg } 850text{ g}$
kg g
11 1400
– 1 850
————–
10 550
Answer: The net weight of tomatoes is 10 kg 550 g.
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