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Be Rational!

This interactive quiz covers various math topics such as rational numbers, scientific notation, geometry, and more. Test your skills and knowledge with these engaging math problems.

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Be Rational!

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  1. Be Rational! In which set of numbers does the real number -√2 belong? A.) irrational and integer B.) irrational only C.) rational and integer D.) rational only

  2. Extreme Exponents and Radical Radicals Which set of numbers contains only natural numbers? A.) {-2, -1, 0, 1, 2} B.) {0, ½ , 1, 1 ½ } C.) {1, 2, 3, 4} D.) {√1, √2, √3, √4}

  3. Scientific Notation What is 3.024 x 10-4 written in standard form?

  4. Slippery Slope Scientists have discovered evidence of three black holes within 50 million light years of Earth. What is 50 million written in scientific notation?

  5. Balance those Equations The legs of a right triangle measure 4 inches and 7 inches. What is the approximate length of the hypotenuse of the triangle? You must show work to receive credit!

  6. Two Variable Problems What is the approximate length of the diagonal of the rectangle?

  7. Funky Functions Which letter is located at approximately √13 on the number line?

  8. Modeling Relationships Write a fraction that is equivalent to 2-2 x 2-3.

  9. Graph This! Write a fraction that is equivalent to 43 x 4-4 .

  10. Transforming Transformations Write a fraction that is equivalent to 3-4÷ (3-2 x 34)

  11. Geometry Gems In 2008, a computer company had approximately 1.4 x 106 dollars in revenue. In 2010, the company’s revenue was approximately 1.2 x 108 dollars. About how many times more revenue did the company make in 2010 than in 2008? You must show work to receive credit.

  12. Pythagorean Theorem Sarah left the boat dock and sailed 5 miles due east. She turned and then sailed 10 miles due North. How far is Sarah from the boat dock? Hint: Her boat moves in the shape of a triangle.

  13. Formula, Formula, Formula a.) What is the value of ∛0.027? b.) Show that your answer is correct.

  14. Scatterbrained What is (5.7 x 10-4)(80,000) written in scientific notation? You must show work to receive credit.

  15. Data, Data, Data What is the approximate distance between points K and L? Hint: Use distance formula?

  16. BONUS Simplify the expression below. You must show all work to receive credit. (4.3 x 1013) x (3.6 x 1010) Hint: Yes, this is different from last week’s bonus!

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