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Simplification & Approximation · Question 64 of 71

Question 64

MediumOriginal question

What is 23×899.7+4899\frac{2}{3} \times 899.7 + \sqrt{4899} approximately equal to?

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Multiply first: 23×899.7≈23×900=600\frac{2}{3} \times 899.7 \approx \frac{2}{3} \times 900 = 600.

  2. 48994899 is just under 4900=7024900 = 70^2, so 4899≈70\sqrt{4899} \approx 70.

  3. Total ≈600+70=670\approx 600 + 70 = 670.

Worth noting

Two-thirds of 900 is 600 because 900 divides cleanly by 3; pick rounding targets that divide easily. The exact value is about 669.8.

Concept
Estimating a product plus a near-perfect square root
Typical time
50 s
Your time
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The rule this testsApproximation
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Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.