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How Heavy How Light - Units of Weight (Grams and Kilograms)

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Understanding Weight: Weight measures how heavy an object is. In our daily lives, we use different units to measure weight based on the size of the object. We use grams (gg) for light objects and kilograms (kgkg) for heavy ones. Visualise a single toffee or a paperclip; these are measured in grams. Visualise a large watermelon or your own body; these are measured in kilograms.

The Gram (gg): The gram is a small unit of weight. If you hold a single dry bean or a small button, you are feeling a weight of approximately 1 g1\text{ g}. Grams are used for things like spices, jewellery, and small stationery items.

The Kilogram (kgkg): The kilogram is the standard unit for heavier items. Imagine a 1 litre1\text{ litre} bottle of water; it weighs about 1 kg1\text{ kg}. We buy vegetables like potatoes or staples like rice in kilograms.

The Relationship Between Units: The most important rule to remember is that 10001000 grams make up 11 kilogram (1 kg=1000 g1\text{ kg} = 1000\text{ g}). If you have a balance scale with a 1 kg1\text{ kg} weight on one side, you would need 10001000 tiny 1 g1\text{ g} weights on the other side to keep it perfectly level.

Using a Balance Scale: A balance scale or beam balance is used to compare weights. It consists of two pans hanging from a central bar. Visualise the scale: if the left pan is lower than the right pan, it means the object on the left is 'heavier'. If both pans are at the exact same height, the weights are 'equal'.

Standard Weights: To measure accurately, we use fixed weights made of metal. These usually come in denominations such as 50 g,100 g,200 g,500 g,1 kg,2 kg,5 kg,50\text{ g}, 100\text{ g}, 200\text{ g}, 500\text{ g}, 1\text{ kg}, 2\text{ kg}, 5\text{ kg}, and 10 kg10\text{ kg}. Shops often use these on manual scales to weigh flour or sugar.

Converting Units: To change kilograms into grams, we multiply by 10001000 because 1 kg1\text{ kg} is a larger unit. To change grams into kilograms, we divide by 10001000. For example, half a kilogram is represented as 12 kg\frac{1}{2}\text{ kg}, which is exactly 500 g500\text{ g} because 1000÷2=5001000 \div 2 = 500.

📐Formulae

1 kg=1000 g1\text{ kg} = 1000\text{ g}

Weight in grams=Weight in kg×1000\text{Weight in grams} = \text{Weight in kg} \times 1000

Weight in kilograms=Weight in grams1000\text{Weight in kilograms} = \frac{\text{Weight in grams}}{1000}

12 kg=500 g\frac{1}{2}\text{ kg} = 500\text{ g}

14 kg=250 g\frac{1}{4}\text{ kg} = 250\text{ g}

34 kg=750 g\frac{3}{4}\text{ kg} = 750\text{ g}

💡Examples

Problem 1:

Convert 6 kg 450 g6\text{ kg } 450\text{ g} into grams.

Solution:

Step 1: We know that 1 kg=1000 g1\text{ kg} = 1000\text{ g}. \nStep 2: Convert the kgkg part to gg by multiplying: 6×1000=6000 g6 \times 1000 = 6000\text{ g}. \nStep 3: Add the remaining grams: 6000 g+450 g=6450 g6000\text{ g} + 450\text{ g} = 6450\text{ g}. \nTotal = 6450 g6450\text{ g}.

Explanation:

To convert a mixed unit (kg and g) into grams, first transform the kilograms into grams and then add the extra grams to get the total.

Problem 2:

Rahul bought 3 kg 500 g3\text{ kg } 500\text{ g} of potatoes and 2 kg 750 g2\text{ kg } 750\text{ g} of onions. What is the total weight of the vegetables in kilograms and grams?

Solution:

Step 1: Add the grams: 500 g+750 g=1250 g500\text{ g} + 750\text{ g} = 1250\text{ g}. \nStep 2: Since 1250 g1250\text{ g} is more than 1000 g1000\text{ g}, we split it: 1250 g=1000 g+250 g=1 kg 250 g1250\text{ g} = 1000\text{ g} + 250\text{ g} = 1\text{ kg } 250\text{ g}. \nStep 3: Add the kilograms: 3 kg+2 kg+1 kg (carried over)=6 kg3\text{ kg} + 2\text{ kg} + 1\text{ kg (carried over)} = 6\text{ kg}. \nStep 4: Combine the results: 6 kg 250 g6\text{ kg } 250\text{ g}.

Explanation:

When adding weights, add the grams first. If the grams exceed 10001000, convert 1000 g1000\text{ g} to 1 kg1\text{ kg} and carry it over to the kilogram column.