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Which measuring Instruments would you use to weigh objects? What kinds of objects would you weigh with them?

Mathematics

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Here are the solutions to your problems:

1. Colour in the blocks that will make 1 kg.
(Remember: 1 kg=1000 g1 \text{ kg} = 1000 \text{ g})

  • a) Colour: 500 g500 \text{ g}, 500 g500 \text{ g}
    • 500 g+500 g=1000 g500 \text{ g} + 500 \text{ g} = 1000 \text{ g}
  • b) Colour: 250 g250 \text{ g}, 250 g250 \text{ g}, 500 g500 \text{ g}
    • 250 g+250 g+500 g=1000 g250 \text{ g} + 250 \text{ g} + 500 \text{ g} = 1000 \text{ g}
  • c) Colour: 250 g250 \text{ g}, 750 g750 \text{ g}
    • 250 g+750 g=1000 g250 \text{ g} + 750 \text{ g} = 1000 \text{ g}
  • d) Colour: 50 g50 \text{ g}, 950 g950 \text{ g}
    • 50 g+950 g=1000 g50 \text{ g} + 950 \text{ g} = 1000 \text{ g}
  • e) Colour: 500 g500 \text{ g}, 125 g125 \text{ g}, 50 g50 \text{ g}, 125 g125 \text{ g}, 250 g250 \text{ g}
    • 500 g+125 g+50 g+125 g+250 g=1050 g500 \text{ g} + 125 \text{ g} + 50 \text{ g} + 125 \text{ g} + 250 \text{ g} = 1050 \text{ g}
    • Wait, let me recheck e.
    • 500 g+250 g+125 g+125 g=1000 g500 \text{ g} + 250 \text{ g} + 125 \text{ g} + 125 \text{ g} = 1000 \text{ g}. So, the 50 g50 \text{ g} block is not included.
    • Corrected for e: Colour: 500 g500 \text{ g}, 125 g125 \text{ g}, 125 g125 \text{ g}, 250 g250 \text{ g}
      • 500 g+125 g+125 g+250 g=1000 g500 \text{ g} + 125 \text{ g} + 125 \text{ g} + 250 \text{ g} = 1000 \text{ g}

2. What does each object weigh?
Each small mark on the scale represents 100 g100 \text{ g}.

  • A) The pointer is exactly on 6000 g6000 \text{ g}.
    • Weight: 6000 g\boxed{\text{6000 g}}
  • B) The pointer is 3 marks past 4000 g4000 \text{ g}.
    • Weight: 4000 g+(3×100 g)=4000 g+300 g=4300 g4000 \text{ g} + (3 \times 100 \text{ g}) = 4000 \text{ g} + 300 \text{ g} = \boxed{\text{4300 g}}
  • C) The pointer is 5 marks past 7000 g7000 \text{ g}.
    • Weight: 7000 g+(5×100 g)=7000 g+500 g=7500 g7000 \text{ g} + (5 \times 100 \text{ g}) = 7000 \text{ g} + 500 \text{ g} = \boxed{\text{7500 g}}
  • D) The pointer is 8 marks past 2000 g2000 \text{ g}.
    • Weight: 2000 g+(8×100 g)=2000 g+800 g=2800 g2000 \text{ g} + (8 \times 100 \text{ g}) = 2000 \text{ g} + 800 \text{ g} = \boxed{\text{2800 g}}
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