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1 (a) Write 7357 correct to 3 significant figures - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 3
Question 3
1 (a) Write 7357 correct to 3 significant figures. (b) Work out \( \frac{\sqrt{7} + 4^2}{7.3^2} \) Write down all the figures on your calculator display.
Worked Solution & Example Answer:1 (a) Write 7357 correct to 3 significant figures - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 3
Step 1
Write 7357 correct to 3 significant figures.
Answer
To round the number 7357 to three significant figures, we start from the leftmost digit:
- The first three significant digits are 7, 3, and 5.
- The next digit after 5 is 7, which means we round up.
Thus, 7357 rounded to three significant figures is 7360.
Step 2
Work out \( \frac{\sqrt{7} + 4^2}{7.3^2} \)
Answer
Calculating the expression step by step:
-
Calculate ( 4^2 ): [ 4^2 = 16 ]
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Calculate ( \sqrt{7} ): [ \sqrt{7} \approx 2.6457513110645906 ]
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Add ( \sqrt{7} ) and ( 16 ): [ \sqrt{7} + 16 \approx 2.6457513110645906 + 16 = 18.64575131106459 ]
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Calculate ( 7.3^2 ): [ 7.3^2 = 53.29 ]
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Divide the result from step 3 by the result from step 4: [ \frac{18.64575131106459}{53.29} \approx 0.3498 ]
The final answer, exactly as displayed on the calculator, is approximately 0.3498.