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A Checking 9. This line represents the distance from Earth to the star Polaris, which is about 252 km. 3. Calculate each power. A 252 b) 1.45 C) 0.693 B a) 214 C D 4. A long board, 4.7 cm thick, is cut into three a) Which letter best represents a distance pieces of equal length. These three pieces of 251 km? Explain your reasoning are then stacked. The stack is cut in three b) Copy the line. Then draw a line that equal pieces to form nine pieces. represents a distance of 253 km. Explain a) Use a power to express the number of your reasoning. pieces in a stack after three sets of cuts. 10. a) Choose a number greater than 1. b) If the cutting and stacking is continued, Copy these powers, with your number what is the height of the stack after in both boxes. Which power is greater? 10 sets of cuts? Show your work. ONE B Practising b) Choose a number between 0 and 1. Copy these powers, with your number 5. Write each power as repeated in both boxes. Which power is greater? multiplication. Calculate. 8 10 a ) 25 106 e) 1.22 b ) 253 d) 34 11. Lang withdrew half of his money from his f) 0.42 bank account on the last day of January. 6. Write each repeated multiplication as a Then he withdrew half of the remaining power. Calculate. amount on the last day of February. He a) 2 X 2 X 2 continued withdrawing half of his money on the last day of March, April, May, and b) 2.5 X 2.5 June. His final balance was $1.50. How c) 10 X 10 X 10 X 10 X 10 much money did Lang have in his bank d) 0.3 X 0.3 X 0.3 X 0.3 account before his first withdrawal? 7. A crate contains 12 boxes. Each box 12. a) Calculate each power of 10. contains 12 packages. Each package 104 103 102 101 contains 12 pencils. Express the number of b) What pattern do you see in part (a)? pencils in a crate as a power. How many pencils are in a crate? c) Explain how your pattern can show that 100 = 1. C Extending 13. a) Calculate each power of 0.1. 0.12 0.13 0.14 0.15 b) Compare the value of each power of 0.1 with its exponent. What pattern do 8. Explain how you can use mental math to you see? calculate 28. c) Predict the value of 0. 16. 8 Chapter 1 NEL