Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Understanding Length: Length is the measurement of how long an object is from one end to the other. Imagine a straight line path between two points; the measurement of that path is the length. It helps us compare which objects are longer or shorter.
Units of Measurement: Depending on the size of the object, we use different units. We use centimeters () for small things like a pencil, meters () for bigger things like a room, and kilometers () for very long distances like the path between two cities.
The Centimeter (): A centimeter is a small unit of length. If you look at a ruler, the distance between the small numbers (like to ) is . A standard crayon is about to long, and the width of your fingernail is roughly .
The Meter (): The meter is the standard unit of length. is equal to . Imagine holding your arms out wide; for a child, that span is close to . Objects like the height of a classroom door or the length of a bed are measured in meters.
The Kilometer (): For very long distances, we use kilometers. is equal to . To visualize this, think of a very long running track; is about the length of football fields placed end-to-end.
Converting Units: To convert from a larger unit to a smaller unit, we multiply. For example, to change to , we multiply by . To convert from a smaller unit to a larger unit, we divide. If you have a measurement in both meters and centimeters, like , you convert the meters first and then add the centimeters.
Measuring Tools: We use different tools for different tasks. A short plastic ruler is used for drawing lines in a notebook (), a measuring tape is used by a tailor to measure cloth (), and an odometer in a car measures the distance traveled on a road ().
📐Formulae
💡Examples
Problem 1:
Convert into centimeters.
Solution:
- We know that .
- Multiply the meter value by : .
- Add the remaining centimeters: .
- Final Answer: .
Explanation:
To convert a combined unit of meters and centimeters into only centimeters, we first turn the meters into centimeters and then sum it up with the existing centimeter value.
Problem 2:
Rohan ran on Monday and on Tuesday. What is the total distance Rohan ran in meters?
Solution:
- Total distance in and : .
- Add the kilometers: .
- Add the meters: .
- Convert the total kilometers to meters: .
- Total distance in meters: .
Explanation:
First, we find the total distance by adding the separate parts. Then, we use the conversion rule to change the entire distance into the unit requested (meters).