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How Heavy How Light - Conversion of Weight Units

Grade 4CBSE

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

🔑Concepts

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Weight is a measure of how heavy or light an object is. We use a balance scale to compare weights; visually, the pan with the heavier object moves downwards, while the pan with the lighter object moves upwards. If the two pans are perfectly level, the weights are equal.

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The standard units for measuring weight are grams (gg) and kilograms (kgkg). Grams are used for light objects like a pencil, a spoon, or an eraser. Kilograms are used for heavier objects like a school bag, a watermelon, or a bag of rice.

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The relationship between the two units is that 1 kilogram1\text{ kilogram} is equal to 1000 grams1000\text{ grams}. You can visualize 1 kg1\text{ kg} as being made up of 10001000 small 1 g1\text{ g} weights grouped together.

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To convert kilograms (kgkg) into grams (gg), we multiply the number of kilograms by 10001000. For example, to find the grams in 4 kg4\text{ kg}, we calculate 4×1000=4000 g4 \times 1000 = 4000\text{ g}.

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To convert grams (gg) into kilograms (kgkg), we divide the number of grams by 10001000. For example, 7000 g7000\text{ g} is equal to 70001000=7 kg\frac{7000}{1000} = 7\text{ kg}.

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Shopkeepers use standard metal weights to measure items on a balance. These weights usually come in sizes like 50 g50\text{ g}, 100 g100\text{ g}, 250 g250\text{ g}, 500 g500\text{ g}, 1 kg1\text{ kg}, 2 kg2\text{ kg}, and 5 kg5\text{ kg}. To measure an object weighing 800 g800\text{ g}, a shopkeeper might place a 500 g500\text{ g}, a 200 g200\text{ g}, and a 100 g100\text{ g} weight together in one pan.

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When dealing with mixed units like 3 kg 250 g3\text{ kg } 250\text{ g}, we convert the kilogram part to grams first (3000 g3000\text{ g}) and then add the remaining grams (250 g250\text{ g}) to get a total of 3250 g3250\text{ g}.

📐Formulae

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

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

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

Total grams=(kg×1000)+remaining g\text{Total grams} = (\text{kg} \times 1000) + \text{remaining g}

💡Examples

Problem 1:

Convert 5 kg 45 g5\text{ kg } 45\text{ g} into grams.

Solution:

Step 1: Convert 5 kg5\text{ kg} to grams: 5×1000=5000 g5 \times 1000 = 5000\text{ g}. Step 2: Add the remaining grams: 5000 g+45 g=5045 g5000\text{ g} + 45\text{ g} = 5045\text{ g}. Final Answer: 5045 g5045\text{ g}

Explanation:

Since 1 kg=1000 g1\text{ kg} = 1000\text{ g}, we multiply the kilograms by 10001000 and then add the extra grams to find the total.

Problem 2:

Convert 9000 g9000\text{ g} into kilograms.

Solution:

Step 1: Use the conversion formula Weight in kg=Weight in g1000\text{Weight in kg} = \frac{\text{Weight in g}}{1000}. Step 2: Divide 90009000 by 10001000: 90001000=9 kg\frac{9000}{1000} = 9\text{ kg}. Final Answer: 9 kg9\text{ kg}

Explanation:

To change a smaller unit (grams) to a larger unit (kilograms), we divide the value by 10001000.