 # How Many Meters Are In 125 Decimeters

How Many Meters Are In 125 Decimeters – 1 Converting within the Metric System Team Members: Donna Massey and Julie Schlabaugh I. Lesson Plan (intended for teachers) Lesson Title: Converting with Metric! Lesson Overview: This lesson will allow students to explore the process of converting larger dimensions into smaller dimensions. Key words: metric, conversion, power 10 background knowledge: 1. Students should know that the basic unit of length in the metric system is the meter. 2. Students should define meters (m), decimeters (dm), centimeters (cm), and mm mm. 3. Students should go from the largest to the smallest m, dm, cm, mm. 4. Students should be able to 10. Objective lesson: The object of this activity is to know and use the formula to convert larger units to smaller measurements within the metric system. II. Case Study: Jimmy competes in a unique triathlon at his school. Events include shot put, rope climbing, and long jump. Jimmy needed to report his results on the user’s scoreboard, then hand them over to the official scorer. Unfortunately, Jimmy lost his scorecard so he wrote his results on paper. Shooting: Rope Climbing: Long Jump: Jimmy has been told by the official scorer to transfer his results to the following scorecard: Shooting Set Name: dm Rope Climbing: Long Jump: mm What does Jimmy need to do with his results? Given that there are 10 decimeters in 1 meter, how many dm = 3 m? Since there are 100 centimeters in 1 meter, how many cm = 3 m? Given that there are 1000 millimeters in 1 meter, how many mm = 3 m?

2 Please complete Jimmy’s scorecard. As Jimmy flipped through his scorecard he saw the pattern and results. Do you see the pattern? make haste Therefore, to change from a larger unit to a smaller unit, you must (multiply / divide). Now let’s try the following examples: 15 m = dm 8 m = cm 6 m = mm Let’s expand the model. Given that 10 cm = 1 dm, how many cm = 150 dm? Given that 10 mm = 1 cm, how many cm = 800 cm? Given that 100 mm = 1 dm, how many mm = 150 dm? See if you can complete the chart. 15 m = dm = cm = mm 8 m = cm = mm 6 m = mm Therefore, you must vary from a larger unit to a smaller unit by powers. Try the following: 26 m = dm 13dm = cm 315 dm = cm 125 cm = mm 18 cm = mm 203 m = dm

## How Many Meters Are In 125 Decimeters 3 Challenge: 6 m = cm 7.5 m = dm 27 m = mm 65.3 dm = cm 14 dm = mm 2.36 cm = mm What happens to the decimal point when you change from a larger unit to a smaller unit in metric? III. Solution (intended for the teacher) m dm cm mm 1. The dimensions are arranged from large to small, high to low. 2. Each degree represents ten powers. 3. To complete the conversion: move 1 degree on the chart, move 1 point place move 2 degrees on the chart, move point point 2 times move 3 degrees on the chart, move 3 decimal places 4 times. If to the right. (multiply, change larger units to smaller units), move point to right. 5. For future lessons, if you shift to the left (division, changing to larger units), move the decimal point to the left. 6. The chart will expand to all measurements of length in meters (km, hm, pond, m, dm, cm, mm). The pattern remains the same. 7. This chart also applies to metrics of weight (g) and capacity (L). II. Case Study: Jimmy competes in a unique triathlon at his school. Events include shot put, rope climbing, and long jump. Jimmy needed to report his results on the user’s scoreboard, then hand them over to the official scorer. Unfortunately, Jimmy lost his scorecard so he wrote his results on paper.

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4 Shot: Rope climb: Jump Long: Jimmy was told by the official scorer to transfer his result to the following score card: Name Shot Place: 30 dm Rope climb: 300 cm Jump Long: 3000 mm What Jimmy needs to do with his . What happened? Convert your measurements (m) to other metric units. Given that there are 10 decimeters in 1 meter, how many dm = 3 m? 30 Since there are 100 cm in 1 meter, how many cm = 3 m? Given that there are 1000 millimeters in 1 meter, how many mm = 3 m? 3000 Did you multiply or divide? Why multiply? 1000 please on Jimmy’s score card. As Jimmy flipped through his scorecard he saw the pattern and results. Do you see the pattern? make haste Convert m to dm 3×10, decimals moved 1 m to cm 3×100, decimals moved 2 m to mm 3x 1000, decimals moved 3 times. So, to change from a larger unit to a smaller unit, you must multiply. (multiply / divide ) Now try the following examples: 15 m = 150dm 8 m = 800 cm 6 m = 6000mm Expand the structure. Given that 10 cm = 1 dm, how many cm = 150 dm? 1500 Since 10 mm = 1 cm, how many cm = 800 cm? _8000

5 Given that 100 mm = 1 dm, how many mm = 150 dm? 15, 000 0 See if you can complete the chart. 15 m = _150 dm = _1500 cm = _15000 mm 8 m = 80 cm = _800 mm 6 m = _6000 mm Therefore, to convert from a larger unit to a smaller unit, you must multiply by powers of 10. Try these: 26 m = 260dm 13dm = 130cm 315 dm = 3150cm 125 cm = 1250mm 18 cm = 180mm 203 m = 2030dm Challenge: 6 m = 600cm 7.5 m = _75 m0 = 2 mm 6 dm 2 mm = 23.6mm What happens at point point. when do you change from a larger unit to a smaller unit in metric? Moves the decimal point to the right. The number of steps on the chart is equal to the number of times to move the tenth point.

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