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The table below shows the number of barrels of oil produced per day by some countries - OCR - GCSE Maths - Question 17 - 2020 - Paper 1

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The table below shows the number of barrels of oil produced per day by some countries. | Country | Barrels of oil produced per day | |-----------|----------------... show full transcript

Worked Solution & Example Answer:The table below shows the number of barrels of oil produced per day by some countries - OCR - GCSE Maths - Question 17 - 2020 - Paper 1

Step 1

Write the number of barrels of oil produced per day by Cameroon as an ordinary number.

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Answer

The number of barrels of oil produced per day by Cameroon can be calculated from the given scientific notation:

9.32imes104=932009.32 imes 10^4 = 93200

Thus, Cameroon produces 93,200 barrels of oil per day.

Step 2

How many more barrels of oil per day did China produce than the UK? Give your answer in standard form, correct to 3 significant figures.

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Answer

To find the difference in oil production between China and the UK, we first convert both numbers to ordinary form:

  • China: 3.98imes106=3,980,0003.98 imes 10^6 = 3,980,000
  • UK: 9.39imes105=939,0009.39 imes 10^5 = 939,000

Now, calculate the difference: 3,980,000939,000=3,041,0003,980,000 - 939,000 = 3,041,000

To express this in standard form, we write: 3.041imes1063.041 imes 10^6

Rounding to three significant figures gives us 3.04 × 10^6.

Step 3

Jamal says the USA produced approximately three times more barrels of oil than Japan. Is he correct? Show how you decide.

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Answer

First, convert the production amounts for the USA and Japan into ordinary numbers:

  • USA: 1.17imes107=11,700,0001.17 imes 10^7 = 11,700,000
  • Japan: 3.92imes103=3,9203.92 imes 10^3 = 3,920

Now, check if the USA's production is approximately three times that of Japan: 3imes3,920=11,7603 imes 3,920 = 11,760

Now compare it to the USA's production:

  • USA: 11,700,000
  • 3 times Japan: 11,760

Since 11,700,000 is significantly greater than 11,760, we can conclude that:

Jamal is incorrect because the USA produced much more than three times that of Japan.

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