Write the following numbers in order of size, starting with the smallest. −9.87,−227,−314.2%,−3.143-\sqrt{9.87}, \quad -\frac{22}{7}, \quad -314.2\%, \quad -3.143 Answer ... , ... , ... , ...

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Worked solution

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1. Convert all given numbers to decimal form for easy comparison.

−9.87≈−3.14166-\sqrt{9.87} \approx -3.14166
−227≈−3.14286-\frac{22}{7} \approx -3.14286
−314.2%=−3.142-314.2\% = -3.142
−3.143=−3.143-3.143 = -3.143

2. Order the decimals from smallest (most negative) to largest (least negative).

Comparing the decimal values:
−3.143<−3.14286<−3.142<−3.14166-3.143 < -3.14286 < -3.142 < -3.14166

Therefore, the order is:
−3.143,−227,−314.2%,−9.87-3.143, -\frac{22}{7}, -314.2\%, -\sqrt{9.87}

Answer

−3.143,−227,−314.2%,−9.87-3.143, -\frac{22}{7}, -314.2\%, -\sqrt{9.87}

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