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2 (a) Use your calculator to work out $$ rac{29^7 - 4.6}{ ext{sqrt}(35) - 1.9}$$ Write down all the figures on your calculator display - Edexcel - GCSE Maths - Question 3 - 2019 - Paper 3

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2-(a)-Use-your-calculator-to-work-out--$$-rac{29^7---4.6}{-ext{sqrt}(35)---1.9}$$--Write-down-all-the-figures-on-your-calculator-display-Edexcel-GCSE Maths-Question 3-2019-Paper 3.png

2 (a) Use your calculator to work out $$ rac{29^7 - 4.6}{ ext{sqrt}(35) - 1.9}$$ Write down all the figures on your calculator display. (b) Write your answer to p... show full transcript

Worked Solution & Example Answer:2 (a) Use your calculator to work out $$ rac{29^7 - 4.6}{ ext{sqrt}(35) - 1.9}$$ Write down all the figures on your calculator display - Edexcel - GCSE Maths - Question 3 - 2019 - Paper 3

Step 1

Use your calculator to work out

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Answer

Using a calculator to compute the expression:

rac{29^7 - 4.6}{ ext{sqrt}(35) - 1.9}

Calculating values step-by-step:

  1. First, calculate 29729^7:
    • 297=29×29×29×29×29×29×29=1977326743.29^7 = 29 \times 29 \times 29 \times 29 \times 29 \times 29 \times 29 = 1977326743.
  2. Next, compute extsqrt(35) ext{sqrt}(35):
    • extsqrt(35)5.916079. ext{sqrt}(35) \approx 5.916079.
  3. Now, substitute these values back into the expression:
    • 19773267434.65.9160791.9\frac{1977326743 - 4.6}{5.916079 - 1.9}
  4. This gives:
    • 19773267434.64.0160791977326738.44.016079492816190.3.\frac{1977326743 - 4.6}{4.016079} \approx \frac{1977326738.4}{4.016079} \approx 492816190.3.
  5. The calculator display will show approximately 492816190.3.

Step 2

Write your answer to part (a) correct to 4 significant figures.

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Answer

Rounding 492816190.3 to 4 significant figures gives us:

  • The first four significant digits are 4928, which means we round to 492800000.
  • Therefore, the final answer is 492800000.

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