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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

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.

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.

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.

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}.

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}.

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.

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.