Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Accelerated CCGPS…Math II Name________________________ Intro to the Number System Period_____Date_______________ According to Galileo Galilei, “Mathematics is the language with which God has written the universe.” Along with each language comes a special vocabulary and this task is designed to see how much of that vocabulary you already know. Enjoy! 1. Write the smallest whole number. __________ 2. Write 3 natural (counting) numbers. __________ , __________ , __________ 3. What is the difference between whole numbers and natural numbers? 4. Write 3 integers that are NOT whole numbers. _______, ______, ______ 5. What is the difference between whole numbers and integers? 6. Write 3 rational numbers that have different forms. _______ , ______ , ______ 7. What other names have you heard for “rational numbers”? 8. How do you know the numbers in part 4 are really rational numbers? 9. Write 3 irrational numbers. ________ , _______ , _________ 10. What is the difference between irrational and rational numbers? 11. Write 3 numbers that are considered perfect squares. ______ , ______ , ______ 12. Write 3 numbers that are considered perfect cubes. _______ , _______ , _______ 13. Consider the fraction “20/6”. What form is this fraction in? __________________ A) Write this fraction in “lowest terms”. __________ B) Write this fraction as a “mixed number”. __________ C) Write this fraction as a “mixed number in lowest terms”. __________ 14. The numbers 2/3 and 2 are called “exact values”, while 0.66666 and 1.41459 are called “approximate values” for these same numbers. Explain the difference between these two terms. 15. What is the additive identity? ______ What is the multiplicative identity?_______ 16. What is the additive inverse of 3?_____What is the multiplicative inverse of 3?__ 17. Write an example of the commutative property.___________________________ 18. Write an example of the associative property.____________________________ 19. Write an example of the distributive property. ___________________________ Mathematical sentences are part of this rich language. Rewrite each of these expressions in simplest form (if possible) to create mathematical equations. You should not need a calculator to do these. (However, a calculator may be used for checking.) 1. 10. (-2)4 7+7 2. x + x 11. 20 3. 12. 2-1 7 7 13. 2-3 4. 7•7 5. 7 14. (22)(23) 7 15. (22)3 6. x • x 16. 2 3 2 7. (x + y)2 8. 2 7 17. 2 18. 2 3 2 35 33 9. -24 More Problems: I. Simplify these expressions completely: 1. k a k 2. k a 3. b b ka kb 4. k k c 5. a 6. b 4 b 2k 0 3 k a m bn b k b m a n b II. Answer each of the following: 1. What is 35% of 60? 2. 15 is what percent of 75? 3. 50 is 80% of what number? 4. Explain the difference between an expression and an equation. III. Solve each of the following: 1. 7x – 48 = 2(x – 31) 3. 3 – 2(x – 6) = 4x + 3(5 –2x) 2. 3 4 5x 3x 4. 8 4 6x 5 3x