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Number Line I The points on the number line below are evenly spaced. On the number line above, -2 is located at C and 1 is located at I. 1. What is the location of 0 (zero)? 2. What is the location of -3? 3. What is the location of ½ ? 4. What is the location of -2 ½ ? 5. What is the location of -1 ½ ? October MLSN High School Break-Out Page 1 Number Line II The points on the number line below are evenly spaced. On the number line above, 3 is at the position labeled C and 4 is at H. 1. What is the coordinate of D ? 2. What is the coordinate of G ? 3. What is the coordinate of I ? 4. What is the coordinate of A ? October MLSN High School Break-Out Page 2 Number Line III The points on the number line below are evenly spaced. On the number line above, 0.0019 is the coordinate of point B and 0.0085 is the coordinate of point H. 1. What is the coordinate of C ? 2. What is the coordinate of E? 3. What is the coordinate of A? 4. What is the coordinate of G? 5. What is the coordinate of F? October MLSN High School Break-Out Page 3 Number Line IV The points on the number lines below are evenly spaced. On the number line above, βπ is at the position labeled B and βπ is at F. (These coordinates, βπ and βπ, are exact numbers, whereas, 1.73205 is an approximation of βπ and 2.23606 is an approximation of βπ .) 1. What is an approximate coordinate of D ? 2. What is the exact coordinate of D? October MLSN High School Break-Out Page 4 Now, consider this number line: 3. What is an approximate coordinate of D ? 4. What is the exact coordinate of D ? 5. What is the exact coordinate of E ? October MLSN High School Break-Out Page 5 Number Line V The points on the number line below are evenly spaced. Place the following numbers on the number line above at their approximate location: 1. βπ and label it π. 2. βπ and label it π. 3. π and donβt label it. 4. π 5. βπ β π and label it π π ππ and label it π. October MLSN High School Break-Out Page 6 Number Line VI The points on the number line below are evenly spaced. 1. What is the coordinate of point E? 2. What is the coordinate of point B? 3. What is the coordinate of point C? 4. What is the coordinate of point H? 5. What is the coordinate of point A? 6. What is the coordinate of point F? October MLSN High School Break-Out Page 7 Number Line VII The points on the number line below are evenly spaced. A 20% 5 B C D .5 5 E F G H I J 1. What is the coordinate of point A as a percent? 2. What is the coordinate of point A as a decimal? 3. What is the coordinate of point D as a percent? 4. What is the coordinate of point J as a decimal? October MLSN High School Break-Out Page 8 Number Line VIII The points on the numbers lines below are evenly spaced. 120% 0 A B C M 1. What is the coordinate of point C (use %s, then decimals) ? ________, ________ 2. The number line below is an enlargement of the number line above from A to C. Place the coordinate you found above for C also on the graph below at C. a. Place D on the point halfway between points A and C. What is the coordinate of point D? ________, ________ Place this coordinate on the graph directly above. October MLSN High School Break Out Page 9 Continue to use the number line for A to C from part a. on the previous page. b. Place E on the point halfway between points A and D. What is the coordinate of point E? ________, ________ Place this coordinate on the graph. c. Place F on the point halfway between points A and E. What is the coordinate of point F? ________, ________ Place this coordinate on the graph. d. Place G on the point halfway between points A and F. What is the coordinate of point G? ________, ________ Place this coordinate on the graph. 3. What is your coordinate for point G as a fraction in lowest terms? Write this number in scientific notation: ______________ October MLSN High School Break Out Page 10