Finding the Approximate Value of an Irrational Number

The video tutorial explains how to represent irrational numbers on a number line using a three-step process, demonstrated with the example of sqrt 7. The steps involve drawing a number line, constructing a vertical line, and using a compass to find an intersection point. The tutorial also introduces formulas for generalizing this method to any irrational number, emphasizing the geometric representation and approximation of square roots.

What is the first step in representing an irrational number like sqrt 7 on the number line?

• Draw a vertical line from the origin.

• Use a calculator to find the exact value.

• Draw the number line and divide it into equal units.

• Estimate the value using a ruler.

How long is the vertical line drawn from the origin in the process of representing sqrt 7?

• 2 units

• 5 units

• 3 units

• 4 units

What tool is used to draw an arc intersecting the number line in the third step?

• Protractor

• Compass

• Calculator

• Ruler

What geometric shape is formed when representing an irrational number on the number line?

• Right angle triangle

• Rectangle

• Circle

• Square

If you want to find the square root of a number B, what is the length of the hypotenuse in the triangle formed?

• B - 1/2

• B + 1/2

• B

• B + 2