Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Units of Length: We measure length using different units based on the size of the object. Small objects like a pencil are measured in centimeters (), larger objects like a classroom wall are measured in meters (), and very long distances like the road between two cities are measured in kilometers ().
Using a Ruler: When measuring with a ruler, always start from the mark, not the edge of the ruler. Imagine a straight line segment where one end touches the mark and the other end aligns with a number on the scale; that number represents the length.
Relationship Between Units: Length units are related to each other by factors of or . A meter scale is divided into equal parts called centimeters. Similarly, a kilometer consists of meters.
Converting Units: To convert meters to centimeters, we multiply the value by . To convert kilometers to meters, we multiply by . For example, a long table is long.
Visualizing Distance: The shortest distance between two points, like Point A and Point B on a map, is a straight line. If you travel along a curved or zigzag path, the total length will be longer than the straight-line distance.
Comparing Lengths: To compare two different lengths, we must first convert them to the same unit. If a ribbon is long and a string is long, we convert to to see that the ribbon is longer.
Estimation: Estimating helps us guess the approximate length before measuring. For instance, a standard door is about high, and a typical Grade 4 student's height is usually between and .
📐Formulae
💡Examples
Problem 1:
Rohan is tall. His sister is taller than him. What is his sister's height in centimeters?
Solution:
Step 1: Convert Rohan's height into centimeters. Step 2: Add the extra height of the sister.
Explanation:
First, we convert the mixed units (m and cm) into a single unit (cm) to make addition easier, then we add the difference to find the final height.
Problem 2:
A marathon race is long. A runner has already covered . How many more meters does the runner need to finish the race?
Solution:
Step 1: Convert the total race distance from km to m. Step 2: Subtract the distance covered from the total distance.
Explanation:
To find the remaining distance, both values must be in the same unit. We converted kilometers to meters and then performed subtraction.