Rational and Irrational Numbers

In this episode of 'Mr. Baskin Does Some Math', the focus is on solving various math problems using the Pythagorean theorem, estimating square roots, and understanding rational and irrational numbers. The video also covers simplifying expressions with powers of 10 and solving a system of equations related to a ribbon problem. The lesson is designed for grade eight students and aims to enhance their problem-solving skills and understanding of key mathematical concepts.

What is the length of the hypotenuse of a right triangle with legs measuring 2 and 6?

• √40

• 8

• 12

• 10

If a right triangle has legs of 3 and 4, what is the length of the hypotenuse?

• 8

• 7

• 6

• 5

What is the length of the hypotenuse of a right triangle with legs of 3 and 1 on a grid?

• 4

• √10

• 6

• 5

Without calculations, why does 5² + 12² equal 13²?

• Because 5, 12, and 13 form a Pythagorean triple

• Because 5 and 12 are both even numbers

• Because 13 is a prime number

• Because 5 and 12 are consecutive numbers

Between which two integers does the square root of 10 lie?

• 5 and 6

• 4 and 5

• 3 and 4

• 2 and 3

Which of the following is a rational number?

• √2

• √8

• π

• 4

Which of the following is an example of an irrational number?

• 3

• √9

• √8

• 1/2

What is the sum of the exponents when multiplying 10⁵ by 10⁰?

• 10

• 5.5

• 0

• 5

What is the total length of blue ribbon needed if Andre needs 50% more blue than green ribbon, plus an extra 6.5 meters?

• 35 meters

• 32.75 meters

• 30 meters

• 25 meters

How much green ribbon does Andre need if the total ribbon required is 50.25 meters?

• 17.5 meters

• 20 meters

• 18 meters

• 15 meters