5. Evaluate (11.2)^2-(0.375div 3) and express your answer: (1 mark) (a) to the nearest hundred. (1 mark) (b) to two significant figures. (1 mark) (c) to two decimal places. (1 mark) (d) in standard form. (1 mark)

To evaluate \((11.2)^{2} - (0.375 \div 3)\) and express the answer in different formats, let's break it down step by step:<br /><br />1. Calculate \((11.2)^{2}\):<br /> \[<br /> (11.2)^{2} = 125.44<br /> \]<br /><br />2. Calculate \(0.375 \div 3\):<br /> \[<br /> 0.375 \div 3 = 0.125<br /> \]<br /><br />3. Subtract the results:<br /> \[<br /> 125.44 - 0.125 = 125.315<br /> \]<br /><br />Now, let's express the result in the required formats:<br /><br />(a) To the nearest hundred:<br /> \[<br /> 125.315 \approx 100<br /> \]<br /><br />(b) To two significant figures:<br /> \[<br /> 125.315 \approx 130<br /> \]<br /><br />(c) To two decimal places:<br /> \[<br /> 125.315 \approx 125.32<br /> \]<br /><br />(d) In standard form:<br /> \[<br /> 125.315 \approx 1.253 \times 10^2<br /> \]<br /><br />So, the correct answers are:<br /><br />(a) 100<br />(b) 130<br />(c) 125.32<br />(d) \(1.253 \times 10^2\)