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Convert the following measurements between metres and kilometres. Also, complete a practical measurement activity.

Mathematics

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Here are the solutions for the problems:

1. Write the following in kilometres:
To convert metres to kilometres, divide by 1000.

  • a. 1000 m=10001000 km=1 km1000 \text{ m} = \frac{1000}{1000} \text{ km} = \boxed{\text{1 km}}
  • b. 700 m=7001000 km=0.7 km700 \text{ m} = \frac{700}{1000} \text{ km} = \boxed{\text{0.7 km}}
  • c. 150 m=1501000 km=0.15 km150 \text{ m} = \frac{150}{1000} \text{ km} = \boxed{\text{0.15 km}}
  • d. 270 m=2701000 km=0.27 km270 \text{ m} = \frac{270}{1000} \text{ km} = \boxed{\text{0.27 km}}
  • e. 100 m=1001000 km=0.1 km100 \text{ m} = \frac{100}{1000} \text{ km} = \boxed{\text{0.1 km}}
  • f. 920 m=9201000 km=0.92 km920 \text{ m} = \frac{920}{1000} \text{ km} = \boxed{\text{0.92 km}}

2. Write the following in metres:
To convert kilometres to metres, multiply by 1000.

  • a. 1 km=1×1000 m=1000 m1 \text{ km} = 1 \times 1000 \text{ m} = \boxed{\text{1000 m}}
  • b. 0.5 km=0.5×1000 m=500 m0.5 \text{ km} = 0.5 \times 1000 \text{ m} = \boxed{\text{500 m}}
  • c. 0.250 km=0.250×1000 m=250 m0.250 \text{ km} = 0.250 \times 1000 \text{ m} = \boxed{\text{250 m}}
  • d. 2 km=2×1000 m=2000 m2 \text{ km} = 2 \times 1000 \text{ m} = \boxed{\text{2000 m}}
  • e. 1.4 km=1.4×1000 m=1400 m1.4 \text{ km} = 1.4 \times 1000 \text{ m} = \boxed{\text{1400 m}}
  • f. 1.25 km=1.25×1000 m=1250 m1.25 \text{ km} = 1.25 \times 1000 \text{ m} = \boxed{\text{1250 m}}

3. Do this practical activity in your class.

Part 1:

  • a. How many metres is it from the back of your class to the front? This requires a physical measurement of your classroom. Measure your classroom\boxed{\text{Measure your classroom}}
  • b. How many metres is it from the one side to the other side of your class? This requires a physical measurement of your classroom. Measure your classroom\boxed{\text{Measure your classroom}}
  • c. If a classroom is 10 m long, how many classrooms can you fit into 1 km?
  1. Convert 1 km to metres.

    $$
    1 \text{ km} = 1000 \text{ m}
    $$
    
  2. Divide the total distance by the length of one classroom.

    $$
    \text{Number of classrooms} = \frac{1000 \text{ m}}{10 \text{ m/classroom}} = \boxed{\text{100 classrooms}}
    $$
    

    Part 2:

    • a. How long is a second? A second is a base unit of time. It is approximately the duration of one tick of a clock or one beat of a human heart at rest. A base unit of time\boxed{\text{A base unit of time}}
    • b. Guess how many seconds it will take to walk from the front to the back of the class. This requires an estimate and then a measurement.
      • Write down your estimate.
      Your estimate\boxed{\text{Your estimate}}
      • Measure it with a watch or a stopwatch and write down your answer.
      Your measurement\boxed{\text{Your measurement}}
      • What is the difference between your estimate and the measurement?
      Difference = |Your estimate - Your measurement|\boxed{\text{Difference = |Your estimate - Your measurement|}}
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