Assignment Assignment for Lesson 7.1 Name I Love New York Negative Numbers in the Real World Date 1. The highest temperature ever recorded on Earth was 136 F at Al Aziziyah, Libya, in Africa. The lowest temperature ever recorded on Earth was 129 F at Vostok Station in Antarctica. Write each temperature as an integer. Use the number line to find the number of degrees between these two temperatures. 7 200 160 120 80 40 0 40 80 120 160 200 2. The highest recorded temperature in Anchorage, Alaska, was 86 F on June 25, 1953. The lowest recorded temperature in that city was 38 F recorded on February 3, 1947. Write each temperature as an integer. Find the number of degrees between these two temperatures. Write your answer using a complete sentence. 100 80 60 40 20 0 20 40 60 80 100 3. The highest point in the U.S. is Mount McKinley, Alaska, at about 6773 yards above sea level. The lowest point in the U.S. is the Badwater Basin in Death Valley, California, at about 87 yards below sea level. Write each elevation as an integer. Use the number line to find the number of yards between the lowest and highest points. 7000 6000 5000 4000 3000 2000 1000 0 1000 2000 3000 4000 5000 6000 7000 4. The deepest point in the ocean is the Marianas Trench in the Pacific Ocean at about 6.9 miles below sea level. The highest point in the world is Mount Everest in the Himalayan Mountains at about 5.5 miles. Write each height as an integer. Use the number line to find the approximate number of miles between the lowest and highest points. 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 Chapter 7 Assignments 77
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Assignment Assignment for Lesson 7.2 Name Going Up? Adding Integers Use the number line to illustrate each statement. Date 7 1. Write and evaluate an addition statement in which the addends are both positive. 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 2. Write and evaluate an addition expression in which both addends are negative. 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 3. Write and evaluate an addition expression in which the addends have different signs. 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 4. Write an addition expression in which the sum is zero. 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 Find each sum without using a number line. 5. 4 ( 8) 6. 15 ( 7) 7. 13 18 8. 9. 5 5 10. 25 17 9 ( 9) 11. 5 ( 6) 12. 33 ( 7) Chapter 7 Assignments 79
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Assignment Assignment for Lesson 7.3 Name Test Scores, Grades, and More Subtracting Integers Date 7 Use the number line to find the difference. Show all your work. 1. 12 5 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 2. 7 ( 6) 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 3. 4 ( 8) 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 4. 10 ( 4) 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 5. 5 10 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 Find each difference without using a number line. 6. 7 ( 13) 7. 10 ( 1) 8. 16 3 9. 9 7 10. 1 ( 2) 11. 12. 19 ( 19) 13. 5 ( 5) 8 ( 8) 14. 40 ( 20) 15. 800 ( 300) Chapter 7 Assignments 81
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Assignment Assignment for Lesson 7.4 Name Checks and Balances Multiplying and Dividing Integers Date 7 Represent each problem as a multiplication problem. Then use repeated addition to solve the problem. 1. Tesha withdrew $30 each week from her savings account to pay for her dance lesson. How much money did she withdraw in four weeks? 2. The average temperature dropped 2 degrees per hour for 5 hours. How many degrees did the temperature drop during that time period? Rewrite each multiplication problem as the product of 1 and a positive integer. 3. 4. 5. 3 4 8 7 4 6 5 Rewrite each division problem as a related multiplication problem. Then find the quotient. 6. 7. 25 5 49 ( 7) Find each product or quotient. 8. 3 4 9. 3 ( 4) 3 ( 4) 10. 2 5 11. 2 ( 5) 12 3 12 3 12 ( 3) 10 5 10 5 2 ( 5) 10 ( 5) 12. 6 7 13. 6 ( 7) 6 ( 7) 42 6 42 6 42 ( 6) Chapter 7 Assignments 83
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Assignment Assignment for Lesson 7.5 Name Weight of a Penny Absolute Value and Additive Inverse Date 1. The table shows the lowest record temperatures for several states. Write the absolute value of the number that represents each temperature in the table. 7 State Florida Tennessee Texas Temperature (degrees Fahrenheit) 2 32 23 Absolute Value of Temperature Hawaii 2 Idaho 60 Find the sum or difference inside the absolute value symbol. Then find the absolute value of the result. 2. 6 5 3. 4. 8 ( 9) 5. 6. 7 ( 3) 7. 11 15 22 ( 7) 10 ( 10) In Questions 8 and 9, find the distance between the numbers. 8. Distance between 2 and 3 9. Distance between 12 and 12 10. Graph each number on the number line. Then graph the opposite of the number. 12 7 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14 11. A fellow student says that 7 4 is the same as 7 4. Is she correct? Use a complete sentence to explain why or why not. Chapter 7 Assignments 85
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Assignment Assignment for Lesson 7.6 Name Exploring the Moon Powers of Ten Date 1. The world population in 1650 was approximately 550,000,000. By 1979, the world population had grown to about 4,336,000,000. Write each number in expanded form using powers of ten. 7 2. Write each population in expanded form using powers of 10. Asia: 27,730,000,000 Europe: 4,820,000,000 Africa: 4,660,000,000 3. A common influenza virus measures 0.0001 millimeter long. Write this measurement in expanded form using powers of ten. (Use negative powers of 10 to represent numbers less than 1.) 4. For each situation, write the measure of energy generated in standard form. (A joule is a unit of energy.) Hurricane: Atom bomb: Man running: Woman running: Chirp of a cricket: Moonlight on a face: 4 10 15 joules 8 10 13 4 10 12 joules 2 10 6 5 10 5 joules 1 10 6 8 10 5 joules 9 10 4 joules 8 10 5 joules Use the rules below to find each product or quotient. When you multiply by powers of 10 that are greater than 1, you move the decimal point one place to the right for each zero in the power of 10. When you multiply by powers of 10 that are less than 1, you move the decimal point one place to the left for each decimal place in the power of 10. When you divide by powers of 10 that are greater than 1, you move the decimal point one place to the left for each zero in the power of 10. When you divide by powers of 10 that are less than 1, you move the decimal point one place to the right for each decimal place in the power of 10. 5. 124 10 6. 7. 981 0.01 8. 9. 549 100 10. 1045 0.1 3.217 1000 3.945 10 11. 2.137 0.1 12. 24,903 0.001 Chapter 7 Assignments 87
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Assignment Assignment for Lesson 7.7 Name Expanding Our Perspective Scientific Notation Date 7 In the table are some facts about the universe. The very large and very small numbers are written in standard form or using scientific notation. Complete the table. Description Standard Form Scientific Notation Distance from Earth to the sun Temperature of the sun at the core Number of protons in a gram 93,000,000 mi 27,000,000ºF 6.022 10 23 Mass of a proton 0.0000000000000000000000016726 kg Mass of an electron Mass of Earth 9.11 10 28 g 5.974 10 24 kg Mass of the sun 1.9889 10 30 kg Mass of a virus 0.00000000000000000035 g Wavelength of violet light 0.0000004 m Wavelength of gamma rays Distance light travels in a year Approximate value of the U.S. debt Diameter of an atom 0.00000000000001 m $7,787,000,000,000 9.46 10 15 m 4.2 10 8 m Diameter of an electron 5.64 10 15 m Width of the Milky Way Galaxy 851,400,000,000,000,000,000 m Chapter 7 Assignments 89
7 90 Chapter 7 Assignments