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 (): 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 , , or .
Kilograms (): 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 or to balance.
The Relationship Rule: The most important connection to remember is that kilogram is equal to grams (). Visually, it would take one thousand tiny -gram weights to balance just one -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 and . We can add these together, like using two weights to make exactly .
📐Formulae
💡Examples
Problem 1:
Convert into grams.
Solution:
Step 1: Convert the kilograms into grams. We know . \ So, . \ Step 2: Add the extra grams to this value. \ .
Explanation:
To convert to grams, first change the kilogram part by multiplying by , then add the remaining gram value to the result.
Problem 2:
Aryan bought of potatoes, of onions, and of tomatoes. What is the total weight of the vegetables in grams?
Solution:
Step 1: Find the total weight in kilograms first. \ Total . \ Step 2: Convert the total kilograms to grams. \ . \ Step 3: Add the tomatoes which were already in grams. \ Total Weight .
Explanation:
Calculate the sum of all weights by converting everything into the same unit (grams) and then adding them together.