Station 1 Rewrite each number using Scientific Notation 1. 6,890,000 = 2. 240,560,000 = 3. 1,500,000,000 = 4. 8,200 = 5. 50 = 6. 0.00000000265 = 7. 0.0009804 = 8. 0.000080004 = 9. 0.5 =
Station 2 Add using Scientific Notation 1. (4.5 10⁴) + (3.8 10⁵) = 2. (3.2 10⁶) + (2.7 10⁶) = 3. (4.8 10⁸) + (6 10³) = 4. (6.3 10 - ²) + (7.2 10⁴) = 5. (5 10³) + (3.2 10²) =
Station 3 Subtract using Scientific Notation 1. (8 10⁴) (9 10 - ¹) = 2. (4.5 10⁸) (4.2 10⁵) = 3. (6.8 10⁷) (5.5 10⁴) = 4. (2.2 10³) (1 10²) = 5. (7 10⁶) (2.3 10⁵) =
Station 4 Multiply using Scientific Notation 1. (8.2 10⁴) (9.1 10⁶) = 2. (4.6 10⁸) (2.8 10 - ²) = 3. (3.3 10⁹) (3.5 10⁵) = 4. (9 10 - ⁴) (8.7 10¹⁰) = 5. (6.5 10 - ³) (4 10 - ²) =
Station 5 Divide using Scientific Notation Round to the nearest hundredth. 1. (8.4 10⁸) (2.2 10⁶) = 2. (9 10 - ⁴) (3.5 10 - ⁵) = 3. (4.25 10⁷) (8.5 10⁴) = 4. (4.8 10 - ²) (4.4 10⁴) = 5. (5 10⁵) (2.5 10¹⁰) =
Station 6 Scientific Notation Word Problems Round to the nearest hundredth. 1. The distance from the Sun to Mercury is 3.598 10⁷ miles. The distance from the Sun to Neptune is 2.798 10⁹ miles. How far is Mercury from Neptune? Write your answer in scientific notation. 2. Using the same data in #1, determine how many times further from the sun Neptune is than Mercury. 3. The moon is 2.39 10⁵ miles from the earth. The average man is 6 feet tall. How many men would have to stand on top of one another to reach from the earth to the moon? (there are 5,280 feet in a mile. How many miles is 6 feet?) 4. The mass of a sand tiger shark is about 9.1 10¹ kg. The mass of a whale shark is about 20.6 metric tons. How many sand tiger sharks would it take to equal the mass of a whale shark? (1 metric ton = 1,000kg)
Name Date Student Response Sheet Record your answers on this sheet as you work through the stations. Show work on a separate sheet of paper. Station 1 Station 2 1. 6. 2. 7. 3. 8. 4. 9. 5. 1. 2. 3. 4. 5. Station 3 1. 2. 3. 4. 5. Station 4 1. 2. 3. 4. 5. Station 5 1. 2. 3. 4. Station 6 1. 2. 3. 4. 5.
Station 1 ~ Helpful Hint Remember that a number in scientific notation only has one number in front of the decimal. If the original number is less than 1 (O.xxx) the exponent will be negative. The exponent represents the number of places the decimal had to be moved in order to have only one single whole number in front of it. Station 2 ~ Helpful Hints When you add numbers in scientific notation, you must have the same exponent (similar to how you need a common denominator when adding fractions.) To get a common exponent, subtract the two exponents. The difference indicates the number of places you need to move the decimal to the left on the smaller number. Change the exponent on the smaller number to be the same as the larger number. Then add the coefficients, keeping the base and exponents the same. Example: (6.21 10⁵) + (4.3 10⁹) (0.000621 10⁹) + (4.3 10⁹) 4.300621 10⁹ Subtract the exponents (9 5 = 4) Give the smaller number the exponent of the larger one. Move the decimal over 4 places to the left on the smaller number. Add
Station 3 ~ Helpful Hints When you subtract numbers in scientific notation, you must have the same exponent (similar to how you need a common denominator when subtracting fractions.) To get a common exponent, subtract the two exponents. The difference indicates the number of places you need to move the decimal to the left on the smaller number. Change the exponent on the smaller number to be the same as the larger number. Then subtract the coefficients, keeping the base and exponents the same. Example: (4.085 10⁸) - (2.275 10⁵) (4.085 10⁸) - (0.002275 10⁸) 4.082725 10⁸ Subtract the exponents (8 5 = 3) Give the smaller number the exponent of the larger one. Move the decimal over 3 places to the left on the smaller number. Subtract. Station 4 ~ Helpful Hints Re-write the problem so the coefficients are being multiplied in one set of parentheses and the exponents in the other. Multiply the coefficients and ADD the exponents (the base of 10 remains the same). Re-write your answer in proper scientific notation (only one number in front of the decimal) if needed. Example: (4.085 10⁸) (8.4 10⁵) (4.085 8.4) (10⁸ 10⁵) 34.314 10¹³ 3.4314 10¹⁴
Station 5 ~ Helpful Hints Re-write the problem it is written vertically OR so the coefficients are being divided in one set of parentheses and the exponents in the other.. Divide the coefficients and SUBTRACT the exponents (the base of 10 remains the same). Re-write your answer in proper scientific notation (only one number in front of the decimal) if needed. Example: (8.6 10³) (4 10 ⁵) 8.6 10³ 4 10 ⁵ 2.15 10⁸ Remember you are subtracting the exponents. In this case you are subtracting 3 ( - 5), not just 3 5. Station 6 ~ Helpful Hints Read each word problem carefully to determine which operation the problem requires. Look back through the work you did at the other stations for hints on how to solve each type of problem. Take your time and don t jump to conclusions!