Estimating Square Roots
Chapter Name : Squares And Square Roots |
Sub Topic Code : 104_08_06_07_01 |
Topic Name : Estimating Square Roots |
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Sub Topic Name : Estimating Square Roots |
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Introduction
Are all natural numbers perfect squares?
Pre-Requisites:
Basic knowledge about arithmetic operations, square numbers and square roots
Activity:
The operation which results in less difference has the number nearest to the square root of the required number.
Real Life Question:
How are the lengths of diagonals of a room measured?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Square root | A number which when multiplied by itself will form a square number. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Abacus | Note down the number. Represent adjacent lower perfect square to the left of abacus and the higher perfect square to the right of abacus. subtract the number from the higher perfect square and subtract lower perfect square from the number. See the difference. |
Real life uses :
Construction, business transactions, computer games, animations
Practical examples around us
| Examples | Explainations |
|---|---|
| Overhead tanks | The area of the tank is measured by dividing the capacity of tank with its proposed height. We use square roots to determine sides or radius |
| Computer games | The squares and square roots are used in construction of computer games during interactions of characters with objects |
What you learn in Theory:
Like subtraction and division, the inverse operations of addition and multiplication, finding a square root is the inverse operation of squaring a number. The square roots can be estimated by comparing the given number with the adjacent perfect squares.
What you learn in Practice:
If the difference on the left of the abacus is small, the given number square root is nearer to the square root of the lower perfect square. If the difference on the right is small, then the square root of the given number is nearer to the square root of the higher perfect square.