How to Add Lengths Using Standard Units with Formula and Solved Examples
We frequently wonder how tall some items are when we see their heights, like hills, towers, buildings, long trees, bridges, railways, etc. The height of something is commonly referred to as its length. For example, we often say the length of the railroad or the bridge. The dimension of distance for length is a feature of the International System of Quantities.
Different units can be used to add length. However, before adding length, we must check that the units of the two lengths are similar; if not, we must first convert them to similar units before adding them.
Length
What is Length Measurement?
A measurement is the length of an object in a certain unit. Understanding and measuring the lengths of objects is an essential skill since it allows us to interact more properly with our surrounding environment.
Length Unit
The length of something used as a measurement for an object. The metre, written as m, serves as the fundamental unit of length in the International System of Units (SI) system. This is possible when the length is given in the proper measurements, such as 5 metres or 500 centimetres for a box and 60 metres for a rope. As a result, the units of measurement are used to understand the supplied parameters in number format.
Table of Length Conversion
Worksheet on Addition of Length
Let’s have a look at the addition of length worksheet:
Example 1: Add 20m and 65m.
Solution: Lengths can be directly added as both have the same units.
On adding 20m and 65m,
20+65
Therefore, on adding 20m and 65m, we get 85m.
Example 2: Add 60 m, 25 cm and 8 cm.
Solution: Lengths cannot be directly added as the units are different. So, we will have to convert m to cm to perform addition.
On converting 60 m,
$ = \left( {60 \times 100} \right)cm = 6000 cm$ [1m = 100cm]
Then, the addition of all these values after conversion is given by,
6000 + 25 + 8
Therefore, on adding 60 m, 25 cm and 8 cm, we get 6,033cm.
Example 3: Subtract 10 km and 100 km.
Solution: Lengths can be directly subtracted as both have the same units.
On subtracting 10 km and 100 km,
100 - 10
Therefore, on subtracting 100 km and 10km, we get 90 km.
Example 4: Add 21 mm and 200 cm.
Solution: Lengths can be directly added as both have the same units. So, we will have to convert cm to mm in order to perform addition.
On converting 200 cm,
$ = \left( {200 \times 10} \right)mm = 2000mm$ [1cm = 100mm]
Then, the addition of all these values after conversion is given,
2000+21
Therefore, on adding 21 mm and 200 cm, we get 2,021cm.
Example 5: Subtract 99 cm and 20cm.
Solution: Lengths can be directly subtracted as both have the same units.
On subtracting 99 mm and 20mm,
99 - 20
Therefore, on subtracting 99 cm and 20cm, we get 79cm.
Example 6: Add 109 cm and 90 cm.
Solution: Lengths can be directly added as both have the same units.
On adding 109 cm and 90cm,
109 + 90
Therefore, on adding 109 cm and 90 cm, we get 199 cm.
Conclusion:
The height of something is frequently referred to as its length. When something is described as being long, it means it is long when measured end to end. Calculating an object's length in a certain unit is called length measuring. For instance, the table above reveals the length of a ruler. So, in this article, we have learned about the length, its SI unit and the basic conversion of length.
FAQs on Addition of Length Explained with Steps and Examples
1. What is addition of length in Maths?
The addition of length means combining two or more lengths to find their total measurement in the same unit. It is used to calculate the overall distance or measurement of objects placed end to end.
- Lengths must be in the same unit (cm, m, mm, etc.).
- Add the numerical values together.
- Write the final answer with the correct unit.
2. How do you add lengths with the same units?
To add lengths with the same units, simply add the numbers and keep the unit unchanged. This is the most basic form of addition of length.
- Example: 12 m + 8 m
- Add the numbers: 12 + 8 = 20
- Write the unit: 20 m
3. How do you add lengths with different units?
To add lengths with different units, first convert them into the same unit, then add. Unit conversion is necessary for accurate measurement addition.
- Example: 2 m + 50 cm
- Convert 2 m to centimeters: 2 m = 200 cm
- Add: 200 cm + 50 cm = 250 cm
4. What is the formula for addition of length?
The formula for addition of length is Total Length = Length₁ + Length₂ + .... All lengths must be expressed in the same unit before applying the formula.
- If needed, convert units first.
- Add the numerical values.
- Attach the common unit to the result.
5. Can you give an example of addition of length?
An example of addition of length is adding 3 m 40 cm and 2 m 60 cm to find the total length. Follow these steps:
- Add meters: 3 m + 2 m = 5 m
- Add centimeters: 40 cm + 60 cm = 100 cm
- Since 100 cm = 1 m, total = 5 m + 1 m = 6 m
6. Why do we need to convert units before adding lengths?
We convert units before adding lengths because addition requires all measurements to be in the same unit. Adding different units directly gives incorrect results.
- Example (incorrect): 1 m + 20 cm ≠ 21 m
- Correct method: 1 m = 100 cm
- 100 cm + 20 cm = 120 cm
7. How do you add length in meters and centimeters?
To add length in meters and centimeters, add meters separately and centimeters separately, then convert if needed. This method avoids confusion in mixed units.
- Example: 4 m 75 cm + 3 m 50 cm
- Meters: 4 + 3 = 7 m
- Centimeters: 75 + 50 = 125 cm
- 125 cm = 1 m 25 cm
- Total = 7 m + 1 m 25 cm = 8 m 25 cm
8. What are common mistakes in addition of length?
Common mistakes in addition of length include ignoring unit conversion and misplacing decimal values. These errors lead to incorrect measurement results.
- Adding different units without conversion.
- Forgetting that 100 cm = 1 m.
- Not carrying over when centimeters exceed 100.
- Dropping the unit in the final answer.
9. How is addition of length used in real life?
The addition of length is used in real life to calculate total distance, height, or measurement of objects placed together. It is common in construction, tailoring, and travel distance calculations.
- Finding the total length of two ropes joined together.
- Calculating the perimeter of a room.
- Measuring fabric pieces combined.
10. How does addition of length relate to perimeter?
The perimeter of a shape is found by the addition of all its side lengths. This means perimeter calculation directly uses addition of length.
- For a rectangle: Perimeter = 2 × (Length + Breadth)
- Example: Length = 5 m, Breadth = 3 m
- Perimeter = 2 × (5 + 3) = 2 × 8 = 16 m
