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8. Dion made $67,785 last year. Express this number as a single digit times a power of ten rounded to the nearest ten thousand.

8. Dion made $67,785 last year. Express this number as a single digit times a power of ten rounded to the nearest ten thousand.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. Dion made $67,785 last year. Express this number as a single digit times a power of ten rounded to the nearest ten thousand. 9. A rectangle has length 8 x 10 millimeters and width 4 x 10 millimeters. How many times greater is the rectangle's length than width? 10. Construct Arguments Tara incorrectly estimates 36,591,000,000 meters as 4x 106 meters. Is she correct? Explain. 11. Higher Order Thinking An astronomical unit (AU) is equal to the average distance from the Sun to Earth. a. An astronomical unit is about 92,955,807 miles. Use a single digit times a power of ten to estimate this value to the nearest ten million miles. b. Venus is about 7.2 x 10-1 AU from the Sun. Mars is about 1.5 AU from the Sun. Which planet is closest to Earth? Assessment Practice 12. The oldest rocks on Earth are about 4x 109 years old. For which of these ages could this be an approximation? 13. Express 0.000000648 as a single digit times a power of ten rounded to the nearest ten millionth. 0.000000004 years 3.45 X 10 years O3.349999999 x 10 years 4,149,000,000 years
Transcribed Image Text:8. Dion made $67,785 last year. Express this number as a single digit times a power of ten rounded to the nearest ten thousand. 9. A rectangle has length 8 x 10 millimeters and width 4 x 10 millimeters. How many times greater is the rectangle's length than width? 10. Construct Arguments Tara incorrectly estimates 36,591,000,000 meters as 4x 106 meters. Is she correct? Explain. 11. Higher Order Thinking An astronomical unit (AU) is equal to the average distance from the Sun to Earth. a. An astronomical unit is about 92,955,807 miles. Use a single digit times a power of ten to estimate this value to the nearest ten million miles. b. Venus is about 7.2 x 10-1 AU from the Sun. Mars is about 1.5 AU from the Sun. Which planet is closest to Earth? Assessment Practice 12. The oldest rocks on Earth are about 4x 109 years old. For which of these ages could this be an approximation? 13. Express 0.000000648 as a single digit times a power of ten rounded to the nearest ten millionth. 0.000000004 years 3.45 X 10 years O3.349999999 x 10 years 4,149,000,000 years
1. Use a single digit times a power of 10 to estimate the number 0.000007328. 2. A city has a population of 38,802,500 people. Estimate this population to the nearest ten million. Rounded to the nearest millionth, the Rounded to the nearest ten million, th number is about population is about Written as the product of a single digit and a Written as the product of a single digit power of ten, this number is X 10 and a power of ten, this number is X 10 3. The mass of Planet X is 8.46 X 1022 kilograms. The mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms. How many times greater is the mass of Planet X than the mass of Planet Y? The mass of Planet Y is about kilograms. The mass of Planet X is about kilograms. The mass of Planet X is about times greater than that of Planet Y. 4. According to a survey, the residents of Country A have approximately 179,300,000 dogs and cats as pets. The same survey reports there are about 5.01 X 107 dogs and cats as pets in Country B. About how many times greater is the number of dogs and cats in Country A than Country B? 5. Estimate 0.00792398 to the nearest thousandth. Express your answer as a single digit times a power of ten. 6. Which number has the greater value, 7X 10-9 or 6 x 10-4? 7. On a certain planet, Continent X has an area of 6.23 x 106 square miles and Continent Y has an area of 63,600,000 square miles. How many time larger is Continent Y than Continent X?
Transcribed Image Text:1. Use a single digit times a power of 10 to estimate the number 0.000007328. 2. A city has a population of 38,802,500 people. Estimate this population to the nearest ten million. Rounded to the nearest millionth, the Rounded to the nearest ten million, th number is about population is about Written as the product of a single digit and a Written as the product of a single digit power of ten, this number is X 10 and a power of ten, this number is X 10 3. The mass of Planet X is 8.46 X 1022 kilograms. The mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms. How many times greater is the mass of Planet X than the mass of Planet Y? The mass of Planet Y is about kilograms. The mass of Planet X is about kilograms. The mass of Planet X is about times greater than that of Planet Y. 4. According to a survey, the residents of Country A have approximately 179,300,000 dogs and cats as pets. The same survey reports there are about 5.01 X 107 dogs and cats as pets in Country B. About how many times greater is the number of dogs and cats in Country A than Country B? 5. Estimate 0.00792398 to the nearest thousandth. Express your answer as a single digit times a power of ten. 6. Which number has the greater value, 7X 10-9 or 6 x 10-4? 7. On a certain planet, Continent X has an area of 6.23 x 106 square miles and Continent Y has an area of 63,600,000 square miles. How many time larger is Continent Y than Continent X?
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