Metric System Basics

1. Metric System Basics

2. Metric System • The metric system is based on a base unit that corresponds to a certain kind of measurement • Length = meter • Volume = liter • Weight (Mass) = gram • Prefixes plus base units make up the metric system • Example: • Centi + meter = Centimeter • Kilo + liter = Kiloliter

3. Metric System • The three prefixes that we will use the most are: • kilo • centi • milli

4. Metric System • So if you needed to measure length you would choose meter as your base unit • Length of a tree branch • 1.5 meters • Length of a room • 5 meters • Length of a ball of twine stretched out • 25 meters

5. Metric System • But what if you need to measure a longer distance, like from your house to school? • Let’s say you live approximately 10 miles from school • 10 miles = 16093 meters • 16093 is a big number, but what if you could add a prefix onto the base unit to make it easier to manage: • 16093 meters = 16.093 kilometers (or 16.1 if rounded to 1 decimal place)

6. Metric System • These prefixes are based on powers of 10. What does this mean? • From each prefix every “step” is either: • 10 times larger or • 10 times smaller • For example • Centimeters are 10 times larger than millimeters • 1 centimeter = 10 millimeters

7. Metric System • Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length 1 centimeter = 10 millimeters Example not to scale 40 41 40 41 1 cm

8. Metric System • For each “step” to right, you are multiplying by 10 • For example, let’s go from a base unit to centi 1 liter = 10 deciliters = 100 centiliters 2 grams = 20 decigrams = 200 centigrams ( 1 x 10 = 10) = (10 x 10 = 100) (2 x 10 = 20) = (20 x 10 = 200)

9. Metric System • An easy way to move within the metric system is by moving the decimal point one place for each “step” desired Example: change meters to centimeters 1 meter = 10 decimeters = 100 centimeters or 1.00 meter = 10.0 decimeters = 100. centimeters

10. Metric System • Now let’s try our previous example from meters to kilometers: 16093 meters = 1609.3 decameters = 160.93 hectometers = 16.093 kilometers • So for every “step” from the base unit to kilo, we moved the decimal 1 place to the left (the same direction as in the diagram below)

11. Metric System • If you move to the left in the diagram, move the decimal to the left • If you move to the right in the diagram, move the decimal to the right

12. Metric System • Now let’s start from centimeters and convert to kilometers 400000 centimeters = 4 kilometers • 400000 centimeters = 4.00000 kilometers

13. Metric System • Now let’s start from meters and convert to kilometers 4000 meters = 4 kilometers • Now let’s start from centimeters and convert to meters • 4000 centimeters = 40 meters

14. Metric System • Now let’s start from meters and convert to centimeters 5 meters = 500 centimeters • Now let’s start from kilometers and convert to meters • .3 kilometers = 300 meters

15. Metric System • Now let’s start from kilometers and convert to millimeters 4 kilometers = 4000000 millimeters or 4 kilometers = 40 hectometers = 400 decameters = 4000 meters = 40000 decimeters = 400000 centimeters = 4000000 millimeters

16. Metric System • Summary • Base units in the metric system are meter, liter, gram • Metric system is based on powers of 10 • For conversions within the metric system, each “step” is 1 decimal place to the right or left • Using the diagram below, converting to the right, moves the decimal to the right and vice versa

17. BMR Explanation • You use energy no matter what you're doing, even when sleeping. Basal Metabolic Rate (BMR); the number of calories you'd burn if you stayed in bed all day. • If you've noticed that every year, it becomes harder to eat whatever you want and stay slim, you've also learnt that your BMR decreases as you age. Likewise, depriving yourself of food in hopes of losing weight also decreases your BMR, a foil to your intentions. However, a regular routine of cardiovascular exercise can increase your BMR, improving your health and fitness when your body's ability to burn energy gradually slows down.

18. BMR Lab Demo Mr. Timmons will now demonstrate how to complete the BMR Lab. • Turn to a new sheet of paper. • You will copy down Mr. Timmons’ lab write up to use as a “road map” while completing your BMR Lab.

19. Student Number 26Mr. Timmons08-30-07BMR Lab • Data Collection • Weight in lbs = 300 lbs • Height in inches = 81in • Age in years = 28 yrs

20. Data Conversion We must convert data into metric units for the equation • Weight in lbs X .454 = weight in kg • 300lbs X .454 = 136.2kg • Height in inches X 2.54 = Height in cm • 81 X 2.54 = 205.74cm • Years = 28yrs

21. BMR Equation This equation is for males- Write down equation Plug in data from conversion step Solve following order of operations…. PEMDAS Answer 1)BMR = 66 + ( 13.7 x weight in kilos ) + ( 5 x height in cm ) - ( 6.8 x age in years ) 2)BMR = 66 + ( 13.7 x 136.2kg) + ( 5 x 205.74cm ) - ( 6.8 x 28yrs) 3) 1865.94kg 1028.7cm 190.4yrs 4) BMR = 2770.24 66 + + -

22. Metric BMR FormulaWomen: BMR = 65 + ( 9.6 x weight in kilos ) + ( 1.8 x height in cm ) - ( 4.7 x age in years ) • Men: BMR = 66 + ( 13.7 x weight in kilos ) + ( 5 x height in cm ) - ( 6.8 x age in years )