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From this drawing of part of a measuring tape, write down the measurements at A to I in: a) cm b) m

Mathematics

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Step-by-step solution

3 steps
  1. Determine the value of each minor division on the measuring tape.

    The major markings on the tape are in tens of centimeters (e.g., 10 cm, 20 cm, 30 cm). Between each 10 cm mark, there are 9 smaller marks, creating 10 equal divisions.
    Therefore, each small division represents 10 cm10=1 cm\frac{10 \text{ cm}}{10} = 1 \text{ cm}.

  2. Read the measurements at points A to I in centimeters (cm).

    • A: 2 small divisions from 0 cm   ⟹  2 cm\implies 2 \text{ cm}
    • B: 1 small division from 10 cm   ⟹  11 cm\implies 11 \text{ cm}
    • C: 2 small divisions from 30 cm   ⟹  32 cm\implies 32 \text{ cm}
    • D: 3 small divisions from 50 cm   ⟹  53 cm\implies 53 \text{ cm}
    • E: 8 small divisions from 50 cm   ⟹  58 cm\implies 58 \text{ cm}
    • F: 5 small divisions from 70 cm   ⟹  75 cm\implies 75 \text{ cm}
    • G: 8 small divisions from 90 cm   ⟹  98 cm\implies 98 \text{ cm}
    • H: 9 small divisions from 90 cm   ⟹  99 cm\implies 99 \text{ cm}
    • I: 10 small divisions from 90 cm (which is 100 cm)   ⟹  100 cm\implies 100 \text{ cm}
  3. Convert the measurements from centimeters to meters (m).

    To convert centimeters to meters, divide by 100 (since 1 m=100 cm1 \text{ m} = 100 \text{ cm}).

    • A: 2 cm=2100 m=0.02 m2 \text{ cm} = \frac{2}{100} \text{ m} = 0.02 \text{ m}
    • B: 11 cm=11100 m=0.11 m11 \text{ cm} = \frac{11}{100} \text{ m} = 0.11 \text{ m}
    • C: 32 cm=32100 m=0.32 m32 \text{ cm} = \frac{32}{100} \text{ m} = 0.32 \text{ m}
    • D: 53 cm=53100 m=0.53 m53 \text{ cm} = \frac{53}{100} \text{ m} = 0.53 \text{ m}
    • E: 58 cm=58100 m=0.58 m58 \text{ cm} = \frac{58}{100} \text{ m} = 0.58 \text{ m}
    • F: 75 cm=75100 m=0.75 m75 \text{ cm} = \frac{75}{100} \text{ m} = 0.75 \text{ m}
    • G: 98 cm=98100 m=0.98 m98 \text{ cm} = \frac{98}{100} \text{ m} = 0.98 \text{ m}
    • H: 99 cm=99100 m=0.99 m99 \text{ cm} = \frac{99}{100} \text{ m} = 0.99 \text{ m}
    • I: 100 cm=100100 m=1.00 m100 \text{ cm} = \frac{100}{100} \text{ m} = 1.00 \text{ m}

    Final Answers:

    a) Measurements in cm:
    A: 2 cm\boxed{\text{2 cm}}
    B: 11 cm\boxed{\text{11 cm}}
    C: 32 cm\boxed{\text{32 cm}}
    D: 53 cm\boxed{\text{53 cm}}
    E: 58 cm\boxed{\text{58 cm}}
    F: 75 cm\boxed{\text{75 cm}}
    G: 98 cm\boxed{\text{98 cm}}
    H: 99 cm\boxed{\text{99 cm}}
    I: 100 cm\boxed{\text{100 cm}}

    b) Measurements in m:
    A: 0.02 m\boxed{\text{0.02 m}}
    B: 0.11 m\boxed{\text{0.11 m}}
    C: 0.32 m\boxed{\text{0.32 m}}
    D: 0.53 m\boxed{\text{0.53 m}}
    E: 0.58 m\boxed{\text{0.58 m}}
    F: 0.75 m\boxed{\text{0.75 m}}
    G: 0.98 m\boxed{\text{0.98 m}}
    H: 0.99 m\boxed{\text{0.99 m}}
    I: 1.00 m\boxed{\text{1.00 m}}

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