Period 5/7 Study Guide 1. Which number is equal to the following? 9 × 103 A 90 C 9,000 B 93 2. Which factor in 5.32 × 109 shows a power of 10? A 5.32 C 109 B 9 3. Which is the correct power to change 810,000 into scientific notation? 810,000 = 8.1 × ____ A 105 C 107 B 106 4. Which describes the first factor of a number written in scientific notation? A less than 0 B greater than 10 C greater than or equal to 1 and less than 10 5. Find the value of 23 . A 6 B 8 C 23 6. What is a population of 930,000 people written in scientific notation? A 9.3 × 105 B 9.3 × 106 C 93 × 106 7. In 9.3 × 10−8 the exponent is a negative number. Which of these describes the value of a number in scientific notation that includes a negative exponent? A negative B very small C very large 8. What is this length in standard notation? 0.7 × 10−4 inch A 0.000007 inch B 0.00007 inch C 0.0007 inch 9. What is this distance in scientific notation? 0.0065 meter A 6.5 × 10−4 meter B 6.5 × 10−3 meter C 65 × 10−3 meter 10. Simplify the expression (5 − 1)2 − (6 − 5)3 . A 15 B 16 C 17 11. Which number is the greatest? A 2.3 × 10−3 B 1.5 × 10−4 C 8.6 × 10−2 12. A square floor has 100 tiles. Each tile is 1 square foot. What is the length of one side of this square floor? A 10 feet B 20 feet C 25 feet 13. A student divided 10 meters of wire into 6 equal parts. Which type of number describes the length of each part? A whole number B integer C rational number 14. This number is written in scientific notation. What is the exponent? 3.5 × 106 ________________________________________ 15. The value of 104 is 10,000. Use this fact to change 5.2 × 104 to standard notation. 5.2 × 104 = 5.2 × ____ = ________________________________________ 16. Complete the steps to change 4,700 to scientific notation. 4,700 = 4.7 × 1,000 = _________________ × _________________ 17. Write your answer in scientific notation. (3 × 103 ) − (1.4 × 102 ) ________________________________________ 18. Write 8.5 × 106 in standard notation. ________________________________________ 19. Use a negative exponent to complete this equation. 0.005 = 5 × 10? ________________________________________ 20. 0.00087 = 8.7 × 10−4 How many places does the decimal point move to change 0.00087 into scientific notation? ________________________________________ 21. Write 0.0007 in scientific notation. ________________________________________ 22. Write 1.4 × 10−2 in standard notation. ________________________________________ For 23–26, use the table. Size (meters) water molecule 3.2 × 10−10 small transistor 1.6 × 10−5 grain of salt 1.6 × 10−4 large ant 2.5 × 10−2 height of Mount Everest 8.9 × 103 diameter of the sun 1.4 × 109 23. Write the height of Mount Everest in standard notation. ________________________________________ 24. Write the size of the ant in standard notation. ________________________________________ 25. Write the largest number in standard notation. ________________________________________ 26. Which is larger, the transistor or the grain of salt? ________________________________________ 27. Which number in this list is the greatest? π, 4.666 , 30 , 18 5 ________________________________________ 28. Write your answer in scientific notation. (5.3 × 107 ) − (1.1 × 104 ) ________________________________________