The table shows the names and areas of five lakes. Name of Lake Area in km² Ladoga 1.81 × 10⁴ Mweru 5.12 × 10³ Tana 3.20 × 10³ Topozero 9.86 × 10² Victoria 6.89 × 10² (a) Write the area of Lake Mweru as an ordinary number. (b) Write the lakes in the order of their area, starting with the smallest. (c) Calculate the difference between the areas of Lake Ladoga and Lake Tana. Give your answer in standard form, correct to 2 significant figures.

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The table shows the names and areas of five lakes - OCR - GCSE Maths - Question 14 - 2021 - Paper 3

Question 14

The table shows the names and areas of five lakes. Name of Lake Area in km² Ladoga 1.81 × 10⁴ Mweru 5.12 × 10³ Tana ... show full transcript

Step 1

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Answer

The area of Lake Mweru is given as $5.12 \times 10^{3}$ . To convert this to an ordinary number, we calculate:

$5.12 \times 10^{3} = 5120 \text{ km}^2.$

Step 2

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Answer

To order the lakes by area, we first convert all areas to ordinary numbers:

Arranging these from smallest to largest:

Thus, the order is: Topozero, Victoria, Tana, Mweru, Ladoga.

Step 3

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Answer

The areas of Lake Ladoga and Lake Tana in ordinary numbers are:

To find the difference:

$\text{Difference} = 18100 \text{ km}^2 - 3200 \text{ km}^2 = 14900 \text{ km}^2.$

Now, we convert this difference to standard form:

$14900 = 1.49 \times 10^{4} \text{ km}^2.$

Hence, the answer is $1.49 \times 10^{4} \text{ km}^2$ .

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