Physics Study Guide (Scientific Notation, Metric Conversion, & Dimensional Analysis)

What are the parts of a number in scientific notation? Example: 3 x 10^8

#3 is called the coefficient. The 10 is called the base. The ^8 is called the exponent.

Solve this: 3 x 10^-2

0.03

What are the English-Metric conversions for volume?

1 gallon = 3.79 Liters 1 Liter = 1.06 quarts

What are the English-Metric conversions for weight?

1 kg = 2.2 lbs 1 ounce = 28.35 grams 16 ounce = 1 lb

What are the English-Metric conversions for length?

1 mile = 1.61 km 1 meter = 1.09 yards 1 meter = 3.28 feet 1 inch = 2.54 cm 12 inch = 1 feet 1 yard = 3 feet

Solve these problems: 1) 92.6 cm = _____________ m 2) 2 L = ____________ mL 3) 5.2 mg = ______________ g 4) 7,500 cm = ______________ m 5) 1,000 mL = __________ L 6) 1.2 x 10^3 km = __________________ m 7) 4 x 10^2 mm = _________ cm 8) 0.0045 m = ______________________ km 9) 88 kg = ______________ g 10) 0.68 ms = ______________ s 11) 3.3 mg = ______________________ kg 12) 0.055 kg = _______________ mg 13) 3.2 x 10^-2 cm = __________________ m 14) 6 x 10^-4 mg = _________________________ g

1. 0.926 m 2. 2,000 mL 3. 0.0052 g 4. 75 m 5. 1 L 6. 1,200,000 m 7. 40 cm 8. 0.0000045 km 9. 88,000 g 10. 0.00068 s 11. 0.0000033 kg 12. 55,000 mg 13. 0.00032 m 14. 0.0000006 g

Calculate these problems: 1. (4 x 10^2) x (6 x 10^4) 2. (2 x 10^5) x (1 x 10^-3) 3. (3.2 x 10^2) x (5.8 x 10^2) 4. (-2 x 10^4) x (1.2 x 10^-2) 5. (6 x 10^4) / (3 x 10^2) 6. (4 x 10^3) / (2 x 10^-2) 7. (9 x 10^4) / (2 x 10^3) 8. (4.8 x 10^3) / (-3 x 10^2)

1. 2.4 x 10^7 2. 2 x 10^2 3. 1.9 x 10^5 4. -2.4 x 10^2 5. 2 x 10^2 6. 2 x 10^5 7. 4.5 x 10^1 8. -1.6 x 10^1

Solve these problems using dimensional analysis: 1) 74 cm = _______________ in 2) 50 kg = ___________ lbs 3) 160 miles = ______________ km 4) 3.6 L = _______________ gal 5) 500 oz = _______________ g 6) 100 m = _____________ yds 7) 600 g = __________ lbs 8) 22 oz = ____________ kg 9) 17 in = _________ m 10) 3 days = _____________________ seconds

1. 29.1 in. 2. 110 lbs 3. 257.6 km 4. 0.95 gal 5. 14,175 g 6. 109 yds 7. 1.3 lbs 8. 0.625 kg 9. 62.2 m 10. 259,200 seconds

Solve these problems converting FROM scientific notation: 1. 6.2 x 10^3 2. 9 x 10^8 3. 4.2 x 10^5 4. -3 x 10^-5 5. 2.0 x 10^-3 6. 4.6 x 10^-4 7. -0.05 x 10^4 8. -5.2 x 10^2

1. 6,200 2. 900,000,000 3. 420,000 4. -0.00003 5. 0.002 6. 0.00046 7. -500 8. -520

Solve these problems converting to scientific notation: 1. 800 2. 2,300 3. 0.08 4. -0.6 5. 32.9 6. 0.009 7. -28 8. -300

1. 8 x 10^2 2. 2.3 x 10^3 3. 8 x 10^-2 4. -6 x 10^-1 5. 3.29 x 10^1 6. 9 x 10^-3 7. -2.8 x 10^1 8. -3 x 10^2

What are the rules to dividing 2 numbers in scientific notation?

1. Divide the coefficients first. 2. Then you subtract the exponents

What are the base units used in the metric system?

Distance = meters time = seconds volume = liter mass = grams temperature = degrees celsius

What is scientific notation?

It's a way to express numbers in powers of ten using exponents.

What is dimensional analysis?

It's a way to guarantee that the result of a problem has the proper units. It also slows you to convert between different units that are and are not in the metric system.

What is a way to memorize the prefixes?

KHDUDCM (King Henry Doesn't Usually Drink Chocolate Milk)

What are the main prefixes in the metric system?

Kilo, hector, deka, UNIT:m,g,s,L; deci, centi, and milli

Put this number into scientific notation: 0.089

8.9 x 10^-2

Solve this: (3 x 10^2) x (3 x 10^-4)

9 x 10^-2

What are the rules to put a number into scientific notation?

1. Move the decimal so that you have a number between 1-9.9. 2. Drop all of the 0's after it. 3. Multiply the number by base 10 and count how many times you moved the decimal to get to the exponent. If the decimal moved to the left, the exponent is positive. If the decimal moved to the right, the exponent is negative.

What are the rules to multiplying 2 numbers in scientific notation?

1. Multiply the coefficients first 2. Then you add the exponents together

How do you use KHDUDCM?

1. Write it out 2. Find your starting point 3. Move to the place you're converting to. 4. Move as many places with your decimal like you moved to the place you're converting to.

Put this number into scientific notation: 1.3

1.3 x 10^4

Solve this using dimensional analysis: 4.6 hours = _____________ sec

16,560 seconds

Solve this: (4 x 10^4) / (2 x 10^3)

2 x 10^1

Solve this: (4 x 10^4) / (2 x 10^-3)

2 x 10^7

Solve this using dimensional analysis 5 km = _________ mi

3.1 miles

Solve this: 3 x 10^2

300

Solve this: (2 x 10^3) x (3 x 10^4)

6 x 10^7

What are the rules to solve starting with a scientific notation? (Solving 3 x 10^2)

When the exponent is positive, move the decimal to the right the amount of the exponent. When the exponent is negative, move the decimal to the left the amount of the exponent.