Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Weight, often called Mass in mathematics, measures how heavy an object is. In the ICSE Grade 4 curriculum, we focus on three main units: Milligrams (), Grams (), and Kilograms (). Imagine a tiny grain of salt weighing a few , a single grape weighing about , and a large pumpkin weighing .
The Kilogram () is the standard unit of weight used for heavier objects like suitcases, human body weight, or sacks of flour. A common visual for is a standard liter bottle of water or a large bag of sugar.
The Gram () is used for lighter objects. You can visualize as the weight of a small metal paperclip or a single plastic pen cap. There are exactly grams in one kilogram, which makes the gram a 'sub-multiple' of the kilogram.
The Milligram () is the smallest unit we study, used for very light items like feathers, flower petals, or the dosage of medicine in a tablet. Visually, milligrams are packed into just single gram.
To convert from a larger unit to a smaller unit, we use multiplication. When moving 'down' the unit scale from to , we multiply by . For example, becomes . You can visualize this as 'expanding' the number as you move to a smaller, more precise unit.
To convert from a smaller unit to a larger unit, we use division. When moving 'up' the scale from to , we divide the value by . For instance, becomes . If a number is not a perfect multiple of , the remainder stays in the smaller unit (e.g., is and ).
We use different types of balances to measure weight. A manual Beam Balance uses two pans; one pan holds the object and the other holds standard metal weights. When the horizontal beam is perfectly straight, the weights are equal. Modern Electronic Balances show the weight as a digital number on a screen for higher precision.
📐Formulae
💡Examples
Problem 1:
Convert into grams.
Solution:
Step 1: Identify the relationship between and . We know that . \ Step 2: Convert the portion into grams: . \ Step 3: Add the remaining grams to the converted amount: . \ Final Answer: .
Explanation:
To convert a mixed unit (kg and g) into a single smaller unit (g), we first change the kilograms into grams by multiplying by 1000 and then add the extra grams.
Problem 2:
Subtract from .
Solution:
Step 1: Arrange the values in two columns: and . \ 7502501\text{ kg}kg12\text{ kg}11\text{ kg}1\text{ kg}1000\text{ g}250\text{ g}1250\text{ g}1250\text{ g} - 750\text{ g} = 500\text{ g}11\text{ kg} - 5\text{ kg} = 6\text{ kg}6\text{ kg } 500\text{ g}$.
Explanation:
When subtracting weight, if the grams in the top number are less than the grams in the bottom number, we borrow ( ) from the kilogram column to make the subtraction possible.