Comparing and Ordering Integers

Transcription

1 Practice A Comparing and Ordering Integers Use the number line to compare each pair of integers. Write < or > Use the number lines to order the integers from least to greatest. 7. 4, 3, , 1, 0 Circle the letter of the correct answer. 9. Which set of integers is written from least to greatest? A 8, 0, 3, 1 B 3, 1, 0, 8 C 0, 1, 3, 8 D 1, 0, 3, Tim and Kylie played golf this morning. Tim scored 4, Kylie scored +3. Because the player with the lowest score in golf wins, who won this morning s golf game? 10. Which set of integers is written from greatest to least? F 7, 4, 5, 2 G 7, 5, 4, 2 H 7, 4, 2, 5 J 5, 2, 4, In Barrow, Alaska, the average temperature in December is 11 F. In January, the average temperature is 13 F. In which month is Barrow warmer?

2 Practice B Comparing and Ordering Integers Use the number line to compare each pair of integers. Write < or > Order the integers in each set from least to greatest. 7. 5, 2, , 9, , 6, , 9, , 1, , 7, 2 Order the integers in each set from greatest to least , 6, , 1, , 7, , 1, , 2, , 12, The lowest point in the Potomac River is 1 foot above sea level. The lowest point in the Colorado River is 70 feet above sea level. The lowest point in the Delaware River is sea level. Write the names of these three rivers in order from the lowest to the highest elevation. 20. The lowest recorded temperature in Alabama was 27 F below zero. In Florida, the lowest recorded temperature was 2 F below zero. The lowest temperature ever recorded in Hawaii was 12 F above zero. Write the names of these three states in order from the highest to the lowest recorded temperatures.

3 Practice C Comparing and Ordering Integers Compare. Write < or > ,876 1, Order the integers in each set from least to greatest , 14, 20, , 30, 0, , 7, 8, , 20, 5, , 89, 78, , 2, 60, 0 Order the integers in each set from greatest to least , 2, 10, , 16, 6, , 9, 99, , 8, 8, , 37, 38, , 1, 1, Four friends went scuba diving today. Ali dove 70 feet, Tim went down 50 feet, Carl dove 65 feet, and Brenda reached 48 feet below sea level. Write the four friends names in order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface. 20. Ted is comparing the temperatures of three days in January. The temperatures on Monday and Tuesday had the same absolute value. The temperature on Wednesday was neither positive nor negative. The temperature dropped below zero on Monday. Write the three days in order from the highest to the lowest temperatures.

4 Review for Mastery Comparing and Ordering Integers You can use a number line to compare and order integers. As you move right on a number line, the values of the integers increase. As you move left on a number line, the values of the integers decrease. Compare 4 and 2. 4 is to the left of 2, so 4 < 2. Compare the integers. Write < or > Order 3, 4 and 1 from least to greatest. List the numbers as they appear from left to right. The integers in order from least to greatest are 3, 1, 4. Order the integers from least to greatest. 7. 2, 5, , 5, , 2, , 1, 4

5 Name Date Class Challenge Integer Maze During winter, bears and many other animals hibernate, or go into a sleeplike state. When they do so, their body temperatures greatly decrease. How much can their temperatures change during hibernation? Write the following integers along the maze so they are increasing from start to finish. The shaded box in the maze will have the answer to the question. 5, 14, 39, 3, 61, 60, 23, 72, 48, 11, 100, 45, 10, 57, 1, 29, 64, 37, 0, 65, 74, 98, 28, 7, 63, 49, 21, 54, 27, 53, 9, 32, 16, 35, 30, 18, 52, 86, 46, 42, 56, 41, 22, 43, 19

6 Problem Solving Comparing and Ordering Integers Use the table below to answer each question. Continental Elevation Facts Continent Highest Point Elevation (ft) above sea level Lowest Point Elevation (ft) below sea level Africa Mount Kilimanjaro 19,340 Lake Assal 512 Antarctica Vinson Massif 16,066 Bentley Subglacial Trench 8,327 Asia Mount Everest 29,035 Dead Sea 1,349 Australia Mount Kosciusko 7,310 Lake Eyre 52 Europe Mount Elbrus 18,510 Caspian Sea 92 North America Mount McKinley 20,320 Death Valley 282 South America Mount Aconcagua 22,834 Valdes Peninsula What is the highest point on Earth? What is its elevation? 3. Which point on Earth is higher, Mount Elbrus or Mount Kilimanjaro? 2. What is the lowest point on Earth? What is its elevation? 4. Which point on Earth is lower, the Caspian Sea or Lake Eyre? Circle the letter of the correct answer. 5. Which continent has a higher elevation than North America? A Antarctica B South America C Europe D Australia 6. Which continent has a lower elevation than Africa? F Australia G Europe H Asia J South America 7. Write the continents in order by their highest points, from highest elevation to lowest elevation.

7 Reading Strategies Uses a Graphic Aid Integers are all the positive and negative whole numbers and zero. Use a number line to help you picture and compare integers. 1. Start at the left and move to the right on the number line. As you move from left to right, do integers increase or decrease in value? 2. Now start at the right and move to the left along the number line. As you move from right to left, do integers increase or decrease in value? You can compare two numbers by their location on a number line. Compare 4 and 2. 4 is to the left of 2. 4 < 2 Read: 4 is less than 2. 2 > 4 Read: 2 is greater than Start at 5. Move to 1. Did you move to the right or to the left? 4. Start at 3. Move to 2. Did you move to the right or to the left? 5. Compare the locations of 3 and 3 on the number line above. 6. Use < or > to compare 3 and Compare the locations of 1 and 4 on the number line above. 8. Use < or > to compare 1 and 4.

8 Puzzles, Twisters & Teasers To Tell the Truth For each box, decide whether the statement is true or false. If it is false, black out the box. The remaining boxes will give you the visual effect of a number. What is the number? (Clue: The name of the number has the same number of letters as its value.) 2 > 7 1 < 6 7 > 2 W 6 < 1 U 2 < 3 T 3 < 2 E J Least to greatest 4, 8, 27 R 4 = 4 A 0 < 1.5 K M 0 > 1.5 S Least to greatest 27, 4, 8 L 4 > 3 I Now see if you can answer the following riddle. To do so, take the letters from the boxes that you did not cross out and rearrange them. The remaining letters are What kind of suit do lawyers wear?

9 Answers LESSON Practice A 1. > 2. < 3. < 4. < 5. < 6. > 7. 3, 2, , 0, 3 9. D 10. H 11. Tim 12. December Practice B 1. > 2. < 3. < 4. < 5. > 6. > 7. 2, 5, , 0, , 1, , 8, , 1, , 4, , 4, , 1, , 0, , 0, , 1, , 11, Delaware River, Potomac River, Colorado River 20. Hawaii, Florida, Alabama Practice C 1. < 2. > 3. < 4. < 5. > 6. > 7. 25, 15, 14, , 9, 0, , 7, 8, , 5, +50, , 78, 9, , 55, 0, 2 CODE , 10, 2, , 3, 13, , 9, 9, , 8, 0, , 37, 37, , 1, 1, Brenda, Tim, Carl, Ali 20. Tuesday, Wednesday, Monday Review for Mastery 1. > 2. < 3. < 4. > 5. > 6. < 7. 5, 2, , 0, , 3, , 1, 3 Challenge Problem Solving 1. Mount Everest; 29,035 feet; above sea level 2. Bentley Subglacial Trench; 8,327 feet below sea level

10 3. Mount Kilimanjaro 4. Caspian Sea 5. B 6. H 7. Asia, South America, North America, Africa, Europe, Antarctica, Australia Puzzles, Twisters & Teasers 4 2 > 7 1 < 6 7 > 2 Reading Strategies W J M 1. They increase in value. 2. They decrease in value. 3. to the right 4. to the left 6 < 1 U Least to greatest 4, 8, 27 R 0 > 1.5 S 5. Possible answer: 3 is to the left of < 3 or 3 > 3 7. Possible answer: 1 is to the right of 4. 2 < 3 T 3 < 2 4 = 4 A 0 < 1.5 Least to greatest 27, 4, 8 L 4 > > 4 or 4 < 1 E K I W U T A S L I L A W S U I T