Calculate (\dfrac{165^2 + \sqrt{75.125} - 11.2 \times (-3)}{3.142}). Write your answer correct to 2 significant figures. The number of people in a shopping mall is 1100, correct to the nearest hundred. Write down the minimum number of people there are in the mall.

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Worked solution

1(a)

1. Evaluate the expression using correct order of operations

1652+75.125−11.2×(−3)3.142=8678.315…\frac{165^2+\sqrt{75.125}-11.2\times(-3)}{3.142}=8678.315\ldots

2. Round the calculator answer to 2 significant figures

8678.315…≈8700 correct to 2 significant figures8678.315\ldots \approx 8700 \text{ correct to 2 significant figures}

Answer

87008700

1(b)

1. Find the lower bound for 1100 rounded to the nearest hundred

Since the number is 11001100 correct to the nearest hundred, the minimum value is halfway between 10001000 and 11001100:

1100−50=10501100-50=1050

Answer

10501050 people

AI analysis — may contain mistakes.

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