Mada za sehemu hiiUse ordering skills to solve puzzles in everyday lifeMada 4
- Calculate the square of a number
- Calculate the square root of a number
- Explain the concept of integers
- Perform operations in integers
The square of a number means multiplying that number by itself. We write the square using the small number 2 written at the top right of the main number. This small 2 is called an exponent or power.
For example:
- is written as
- is written as
- is written as
We read as "three squared," as "five squared," and as "seven squared."
To find the square of a number, multiply the number by itself.
Examples
Example 1: Find the square of 8
Solution:
Example 2: Find the square of 12
Solution:
Example 3: Find the square of 20
Solution:
Here are the squares of numbers from 1 to 20 that you should remember:
| Number (n) | Square (n²) |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
A number chart can help you visualise squares. When you create a square arrangement using dots or objects, the total number of dots in the square tells you the square of that number.
For example, if you arrange 3 objects in a row and repeat this 3 times to form a square, you will have objects in total. This shows that the square of 3 is 9.
In Tanzania, you can use squaring when calculating the area of a square piece of land. For example, if a farmer has a square plot of land where each side measures 15 metres, the area of the land is square metres. Knowing how to calculate squares helps builders, farmers, and shopkeepers measure spaces and plan how much material they need.
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