Worksheet C3 Scientific Notation and Estimation

Worksheet C3 – Scientific Notation and Estimation Part 1: Decimal to Scientific notation Convert each of the following decimals to scientific notation. 1. 218,000,000,000

2. 5,120,000

3. 0.0005001

4. 0.00000000000315

5. 12 x 5280 x 25,000 (number of inches of the earth’s circumference)

6. 186,000 x 86,400 x 365 x 2,100,000 (distance in miles to Andromeda Galaxy)

Part 2: Scientific to Decimal 1. 1.9 E-13

2. 6.67 x 1022

3. 5.3009 E4

4. 3.67 x 10-8

5. 8.725 x 1011

6. 3.33 E-9

Part 3: Choosing an Estimate 1. You earn $9.50 an hour. What is a good estimate of your hourly earning?

2. You have a bucket of bolts. You weigh the bucket. You know that each bolt weighs 2.11 ounces. What is a good estimate of the weight of a bolt?

3. A car is traveling down the road at 68 miles per hour. You want to determine how fast it is going in feet per second. What should you use as an estimate for your car speed?

4. You want to measure the distance to an object. You are going to use the length of your foot as the measuring device. You know that your foot is 11.37 inches long. What length should you use for your foot? Part 4: Estimation 1. You are working form minimal wage at the Burger Factory making $6.95 a hour. You worked 39 hours last week and received a gross paycheck for $250. Does this amount sound reasonable?

2. You and your parents determined that while at college you would need $105 a week for 39 weeks. Estimate the total amount of money that you will need.

3. In 1999, a high school graduate earned $25,900 per year on average, while a college graduate earned $45,400 per year. Over a lifetime, about how much more would a college graduate earn than a high school graduate?

4. A vineyard owner is thinking of planting approximately equal acreage with four different varieties of grapes typically yielding between five and seven tons of grapes per acre. He knows that it takes 85-90 pounds of grapes to make five gallons of wine, and that one barrel of wine is equal to either 59 or 60 gallons, depending on the type of wine. If he plants approximately 17 acres altogether, about how many barrels of wine will he usually be able to produce?

Part 5: Orders of Magnitude 1. What would be the best scale for each of the following: A. Number of popcorn kernels in a gallon jar. B. The number of buffalo in the United States. C. The number of acres of farmland in the United States. D. The number of people who work for Wal-Mart. E. The number of cigarette butts that lie on the ground at any one time.

2. A rheem of paper (500 sheets) stands about 2 ¼ inches tall. The average man is about 69 inches tall. How many orders of magnitude taller is a man then a sheet of paper?

3. A bee one inch long, can travel at 10 mph. A F106 Delta Dart, is 70 feet long and has a maximum speed of 1525 mph. In terms of body size, which flies faster, and how many orders of magnitude?