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Who is Heavier? - Kilograms and Grams

Grade 3CBSE

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

🔑Concepts

Weight and Mass: Weight tells us how heavy an object is. Imagine a 'Tarazu' or a balance scale; the pan containing the heavier object will always sink lower towards the ground, while the pan with the lighter object will move upwards.

Grams (gg): We use grams to measure the weight of light objects. Think of items like an eraser, a chocolate bar, or a spoon. On a scale, these objects would be balanced using small metal weights labeled 10g10 g, 50g50 g, or 100g100 g.

Kilograms (kgkg): Kilograms are used for measuring heavier objects like a bag of rice, a big pumpkin, or your school bag. A kilogram is much larger than a gram. In drawings, these objects look much bulkier and would require large weights like 1kg1 kg or 5kg5 kg to balance.

The Relationship Rule: The most important connection to remember is that 11 kilogram is equal to 10001000 grams (1 kg=1000 g1 \text{ kg} = 1000 \text{ g}). Visually, it would take one thousand tiny 11-gram weights to balance just one 11-kilogram block on a scale.

Balancing the Scale: A balance scale is perfectly horizontal (a straight flat line) only when the weights on both sides are exactly equal. If you see a drawing where the needle in the middle is pointing straight up, it means the weights in both pans are the same.

Size vs. Weight: Remember that a bigger object is not always heavier. For example, a large balloon filled with air is bigger in size but much lighter than a small cricket ball made of hard wood or leather. On a balance scale, the small cricket ball would pull the pan down lower than the big balloon.

Standard Weights: Shopkeepers use standard weights to measure items. These are often solid blocks of metal with the weight written on top. Common weights include 100g,200g,500g,1kg,2kg,100 g, 200 g, 500 g, 1 kg, 2 kg, and 5kg5 kg. We can add these together, like using two 500g500 g weights to make exactly 1kg1 kg.

📐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

Total Weight=Weight of Item 1+Weight of Item 2\text{Total Weight} = \text{Weight of Item 1} + \text{Weight of Item 2}

💡Examples

Problem 1:

Convert 4 kg350 g4 \text{ kg} 350 \text{ g} into grams.

Solution:

Step 1: Convert the kilograms into grams. We know 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}. \ So, 4 kg=4×1000 g=4000 g4 \text{ kg} = 4 \times 1000 \text{ g} = 4000 \text{ g}. \ Step 2: Add the extra grams to this value. \ 4000 g+350 g=4350 g4000 \text{ g} + 350 \text{ g} = 4350 \text{ g}.

Explanation:

To convert to grams, first change the kilogram part by multiplying by 10001000, then add the remaining gram value to the result.

Problem 2:

Aryan bought 2 kg2 \text{ kg} of potatoes, 1 kg1 \text{ kg} of onions, and 500 g500 \text{ g} of tomatoes. What is the total weight of the vegetables in grams?

Solution:

Step 1: Find the total weight in kilograms first. \ Total kg=2 kg+1 kg=3 kgkg = 2 \text{ kg} + 1 \text{ kg} = 3 \text{ kg}. \ Step 2: Convert the total kilograms to grams. \ 3 kg=3×1000 g=3000 g3 \text{ kg} = 3 \times 1000 \text{ g} = 3000 \text{ g}. \ Step 3: Add the tomatoes which were already in grams. \ Total Weight =3000 g+500 g=3500 g= 3000 \text{ g} + 500 \text{ g} = 3500 \text{ g}.

Explanation:

Calculate the sum of all weights by converting everything into the same unit (grams) and then adding them together.