Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Introduction to Standard Units: To measure length accurately and consistently, we use standard units like centimeters (), meters (), and kilometers (). Unlike handspans or footsteps, standard units provide the same measurement for everyone.
Centimeter (): This unit is used for measuring small objects like a pencil, an eraser, or a mobile phone. On a standard plastic ruler, you can see small markings numbered to . The distance between two consecutive numbers, such as and , is exactly . Small lines between these numbers represent even smaller units.
Meter (): The meter is the standard unit of length used for measuring longer things like the length of a room, the height of a wall, or a piece of cloth. Visually, is roughly the width of a single door or the length of a long stride of an adult. It is made up of .
Kilometer (): We use kilometers to measure very long distances, such as the distance between two cities or the length of a highway. On a road, you will often see milestones—small stone pillars with a curved top—that show the distance to a place in . One kilometer is equal to .
Measuring with a Ruler: To measure correctly, align one end of the object exactly with the mark on the ruler (not the edge of the ruler itself). The number that aligns with the other end of the object is its length. For example, if a toothpick starts at and ends at the mark, its length is .
Estimation of Lengths: It is important to choose the right unit for the right object. For instance, the length of a fingernail is measured in , the length of a playground is measured in , and the distance from Delhi to Mumbai is measured in .
Conversion Basics: To change a larger unit to a smaller unit, we multiply. For example, to change to , we multiply by . To change to , we multiply by .
📐Formulae
💡Examples
Problem 1:
Rohan has a piece of rope that is and long. What is the total length of the rope in centimeters?
Solution:
Step 1: Convert the meters into centimeters using the formula . \ . \ Step 2: Add the extra centimeters to the result. \ . \ Final Answer: The rope is long.
Explanation:
Since we need the answer in centimeters, we first change the part into by multiplying by and then add the remaining .
Problem 2:
A bus traveled a distance of from the station to a school. How many meters did the bus travel?
Solution:
Step 1: We know that . \ Step 2: To find the distance in meters, multiply the distance in kilometers by . \ . \ Final Answer: The bus traveled .
Explanation:
To convert kilometers into meters, we use the standard conversion factor of because there are meters in every kilometer.