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Who is Heavier? - Standard Units of Mass

Grade 3CBSE

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

🔑Concepts

Mass tells us how heavy or light an object is. In a balance scale (a tool with two pans), the side with the heavier object moves downwards, while the side with the lighter object moves upwards. If both pans are at the same level, the weights are equal.

Standard Units: To measure weight accurately, we use standard units called Grams and Kilograms. Using standard units ensures that the weight of an object is the same no matter who weighs it or where it is weighed.

Gram (gg): This is a smaller unit used to measure light objects. For example, a pencil, a chocolate bar, or an eraser are measured in grams. A visual reference for 1 g1\ g is the weight of a single small paperclip.

Kilogram (kgkg): This is a larger unit used to measure heavy objects. For example, a bag of wheat, a watermelon, or a bicycle are measured in kilograms. A 1 kg1\ kg weight is roughly equal to the weight of a 11-liter bottle of water.

Relationship between Units: The connection between the two units is that 11 kilogram is made up of 10001000 grams. This can be visualized as placing a 1 kg1\ kg block on one side of a scale and needing 10001000 tiny 1 g1\ g weights on the other side to balance it perfectly: 1 kg=1000 g1\ kg = 1000\ g.

Common Weights: Shopkeepers use metal weights of different sizes like 50 g,100 g,200 g,500 g,1 kg,2 kg,5 kg,50\ g, 100\ g, 200\ g, 500\ g, 1\ kg, 2\ kg, 5\ kg, and 10 kg10\ kg. By combining these on a beam balance, they can weigh any amount of vegetables or fruits accurately.

Comparing Weights: To compare two weights, we look at both the number and the unit. Even if the number is small, a kilogram unit makes it much heavier than a gram unit (e.g., 1 kg1\ kg is heavier than 800 g800\ g). If units are the same, the higher number is heavier (450 g450\ g is heavier than 300 g300\ g).

📐Formulae

1 kg=1000 g1\ kg = 1000\ g

1000 g=1 kg1000\ g = 1\ kg

12 kg=500 g\frac{1}{2}\ kg = 500\ g

14 kg=250 g\frac{1}{4}\ kg = 250\ g

Weight in Grams=Weight in Kilograms×1000\text{Weight in Grams} = \text{Weight in Kilograms} \times 1000

💡Examples

Problem 1:

Convert 6 kg 250 g6\ kg\ 250\ g into grams.

Solution:

Step 1: Convert the kilograms into grams. Since 1 kg=1000 g1\ kg = 1000\ g, then 6 kg=6×1000=6000 g6\ kg = 6 \times 1000 = 6000\ g. \nStep 2: Add the remaining grams to the converted amount: 6000 g+250 g=6250 g6000\ g + 250\ g = 6250\ g.

Explanation:

To find the total weight in grams, we first change the kgkg part to gg by multiplying by 10001000 and then add the existing gg portion.

Problem 2:

A packet of sugar weighs 2 kg2\ kg and a packet of flour weighs 1700 g1700\ g. Which one is heavier?

Solution:

Step 1: Convert the sugar weight into grams to compare: 2 kg=2×1000=2000 g2\ kg = 2 \times 1000 = 2000\ g. \nStep 2: Compare the two values: 2000 g2000\ g (Sugar) and 1700 g1700\ g (Flour). \nStep 3: Since 2000>17002000 > 1700, the sugar packet is heavier.

Explanation:

To compare two weights with different units, convert them both to the same unit (grams). Comparing 2000 g2000\ g and 1700 g1700\ g shows that the 2 kg2\ kg packet has more mass.