Pregunta
a) A petrol tank has \( 3.6 \times 10^{3} \) litres of petrol. If \( 1.5 \times 10^{4} \) litres of petrol is added into it how much petrol does it have now? b) An underground water tank contains \( 1.8 \times 10^{4} \) litres of water. When \( 1.8 \times 10^{3} \) litres of water is used up how much water is left in the tank?
Ask by Lee Wright. in Nepal
Feb 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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a) The petrol tank now has 1.86 × 10⁴ litres.
b) There are 1.62 × 10⁴ litres of water left in the tank.
Solución
a) The petrol tank initially contains 3.6 × 10³ litres. When 1.5 × 10⁴ litres are added, the total petrol becomes:
3.6 × 10³ + 1.5 × 10⁴ = 0.36 × 10⁴ + 1.5 × 10⁴ = 1.86 × 10⁴ litres.
b) The water tank initially contains 1.8 × 10⁴ litres. After using 1.8 × 10³ litres, the water left in the tank is:
1.8 × 10⁴ − 1.8 × 10³ = 1.8 × 10⁴ − 0.18 × 10⁴ = 1.62 × 10⁴ litres.
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Simplifique esta solución Beyond the Answer
To find the total amount of petrol in the tank after adding more, you simply add the two quantities together: \( 3.6 \times 10^{3} + 1.5 \times 10^{4} = 3.6 \times 10^{3} + 15 \times 10^{3} = 18.6 \times 10^{3} \) litres of petrol, or \( 1.86 \times 10^{4} \) litres when expressed in standard scientific notation. For the underground water tank, you'll subtract the used water from the total amount: \( 1.8 \times 10^{4} - 1.8 \times 10^{3} = 18 \times 10^{3} - 1.8 \times 10^{3} = 16.2 \times 10^{3} \) litres of water left, which can be written as \( 1.62 \times 10^{4} \) litres in standard form.
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