Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Standard Units of Length: Length is the distance between two points. In the ICSE Grade 4 curriculum, we primarily use Kilometres () for long distances like between cities, Metres () for heights of buildings or lengths of cloth, and Centimetres () or Millimetres () for small objects like pencils or notebooks. Imagine a long highway stretching out for and a small wooden ruler for .
Measuring with a Ruler: A standard ruler is used for measuring small objects. Each centimetre is divided into equal parts called millimetres. When measuring, you must always align the '0' mark of the ruler with the start of the object. Visualize the edge of your pencil tip starting exactly at the line and ending at a specific number on the ruler.
The Base Unit (Metre): The Metre () is the standard unit of length. One metre is approximately the distance from the floor to the waist of an average adult, or the width of a standard doorway. It takes centimetre markings on a measuring tape to make exactly metre.
Conversion of Units (Big to Small): To change a larger unit to a smaller unit, we always multiply. For example, since , to convert to , you multiply by . Think of this as breaking down a large block into many smaller pieces; the number of pieces increases.
Conversion of Units (Small to Big): To change a smaller unit to a larger unit, we divide. For example, to convert to , you divide by . Visualize gathering individual -metre sticks and bundling them together to create a single kilometre block.
Addition and Subtraction of Length: When performing operations, always align the units in separate columns (e.g., a column for and a column for ). If the sum in the column reaches or more, you must carry over to the column because .
Understanding Kilometres: Kilometres are used for measuring very long distances. is equal to . If you imagine a standard running track, which is usually long, two and a half laps around that track would roughly equal .
📐Formulae
💡Examples
Problem 1:
Convert into centimetres.
Solution:
Step 1: Convert the metres into centimetres. We know that . So, . \ Step 2: Add the remaining centimetres to the result. Total .
Explanation:
To convert a length given in mixed units (metres and centimetres) into a single unit (centimetres), first transform the larger unit by multiplying by its conversion factor () and then add the smaller units.
Problem 2:
Add and .
Solution:
Step 1: Add the centimetres: . \ Step 2: Convert to metres and centimetres: . \ Step 3: Keep in the centimetre column and carry over to the metre column. \ Step 4: Add the metres: . \ Final Answer: .
Explanation:
When adding lengths, treat the centimetres separately. If they exceed , convert every into and carry it over to the metres column, just like regular addition with carry-over.