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Choose which answer says how much each container holds. Copy and complete the table.

Mathematics

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3 parts
a

iii) 1ℓ and 500 ml\text{iii) } 1 \ell \text{ and } 500 \text{ ml}

b

ii) 2ℓ\text{ii) } 2 \ell

c

ii) 3ℓ and 75 ml\text{ii) } 3 \ell \text{ and } 75 \text{ ml}

Step-by-step solution

9 steps

Here are the solutions to the questions:

2. Choose which answer says how much each container holds.

Part a· 4 steps

Cooldrink bottle A

  1. Observe the label on bottle A, which shows "1,5".

    This indicates 1.5ℓ1.5 \ell.

  2. Convert 1.5ℓ1.5 \ell to litres and millilitres.

    1.5ℓ=1ℓ+0.5ℓ1.5 \ell = 1 \ell + 0.5 \ell.

  3. Convert 0.5ℓ0.5 \ell to millilitres

    0.5×1000 ml=500 ml0.5 \times 1000 \text{ ml} = 500 \text{ ml}.

  4. So, 1.5ℓ=1ℓ and 500 ml1.5 \ell = 1 \ell \text{ and } 500 \text{ ml}.

    The correct option is iii).

    iii) 1ℓ and 500 ml\boxed{\text{iii) } 1 \ell \text{ and } 500 \text{ ml}}

Part b

ii) 2ℓ\text{ii) } 2 \ell

Milk bottle B

  1. Observe the label on bottle B, which shows "2 ℓ\ell".

    The correct option is ii).

    ii) 2ℓ\boxed{\text{ii) } 2 \ell}

Part c

ii) 3ℓ and 75 ml\text{ii) } 3 \ell \text{ and } 75 \text{ ml}

Petrol bottle C

  1. Observe the markings on bottle C.

    The liquid level is exactly at the 3ℓ3 \ell mark.

  2. The question asks "how much each container holds", which usually refers to the maximum capacity.

    The container is marked up to 5ℓ5 \ell. However, 5ℓ5 \ell is not an option. If the question refers to the volume of liquid shown, it is 3ℓ3 \ell, which is also not an exact option.

  3. Given the options, we must choose the closest one to the observed liquid level of 3ℓ3 \ell.

    Option ii) 3ℓ and 75 ml=3.075ℓ3 \ell \text{ and } 75 \text{ ml} = 3.075 \ell.
    Option iii) 3ℓ and 750 ml=3.75ℓ3 \ell \text{ and } 750 \text{ ml} = 3.75 \ell.

  4. Comparing the options to 3ℓ3 \ell

    ∣3.075ℓ−3ℓ∣=0.075ℓ|3.075 \ell - 3 \ell| = 0.075 \ell
    ∣3.75ℓ−3ℓ∣=0.75ℓ|3.75 \ell - 3 \ell| = 0.75 \ell
    Option ii) is numerically closer to 3ℓ3 \ell.
    The correct option is ii).

    ii) 3ℓ and 75 ml\boxed{\text{ii) } 3 \ell \text{ and } 75 \text{ ml}}

    3. Copy and complete the table.
    We use the conversion 1ℓ=1000 ml1 \ell = 1000 \text{ ml}.

    Litres in fractionsLitres and millilitresLitres in decimals
    a)112ℓ1 \frac{1}{2} \ell1ℓ 500 ml1 \ell \ 500 \text{ ml}1.5ℓ1.5 \ell
    b)114ℓ1 \frac{1}{4} \ell1ℓ 250 ml1 \ell \ 250 \text{ ml}1.25ℓ1.25 \ell
    c)134ℓ1 \frac{3}{4} \ell1ℓ 750 ml1 \ell \ 750 \text{ ml}1.75ℓ1.75 \ell
    d)312ℓ3 \frac{1}{2} \ell3ℓ 500 ml3 \ell \ 500 \text{ ml}3.5ℓ3.5 \ell
    e)334ℓ3 \frac{3}{4} \ell3ℓ 750 ml3 \ell \ 750 \text{ ml}3.75ℓ3.75 \ell
    f)512ℓ5 \frac{1}{2} \ell5ℓ 500 ml5 \ell \ 500 \text{ ml}5.5ℓ5.5 \ell
    g)614ℓ6 \frac{1}{4} \ell6ℓ 250 ml6 \ell \ 250 \text{ ml}6.25ℓ6.25 \ell
    h)1034ℓ10 \frac{3}{4} \ell10ℓ 750 ml10 \ell \ 750 \text{ ml}10.75ℓ10.75 \ell
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