Definition of

# Trial and Error

A way to solve things by making our best try, seeing the result and how much it is in error, then making a better try until we get the desired result.

Example: What is the square root of 10?

(In other words, what number, multiplied by itself, makes 10)

Let us try 3:

⇒ 3×3 = 9

But we wanted 10. so let us increase our guess a little. Maybe 3.2?

⇒ 3.2×3.2 = 10.24

Now we are a little too high. Maybe 3.15?

⇒ 3.15×3.15 = 9.9225

Close enough, let's stop.

It may seem very hit-and-miss, and it is! But sometimes it is a very fast and effective way to get an answer that is good enough.

In our example above maybe we wanted to make a square with an area of 10 m

Example: What is the square root of 10?

(In other words, what number, multiplied by itself, makes 10)

Let us try 3:

⇒ 3×3 = 9

But we wanted 10. so let us increase our guess a little. Maybe 3.2?

⇒ 3.2×3.2 = 10.24

Now we are a little too high. Maybe 3.15?

⇒ 3.15×3.15 = 9.9225

Close enough, let's stop.

It may seem very hit-and-miss, and it is! But sometimes it is a very fast and effective way to get an answer that is good enough.

In our example above maybe we wanted to make a square with an area of 10 m

^{2}, now we know that a side length of 3.15 m will work nicely.
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