Question

Use a calculator to approximate the following numbers to two decimal places you can only use the digit and addition/subtraction/multiplication/division buttons. Indicate the steps, ie. order of calculations entered to find your answer.

2 + √27/5
Steps: .......

Answer 1

To approximate 2 + √27/5, use the calculator to find the square root of 27, divide by 5, add 2, and then round the final result to two decimal places.

Step-by-step explanation:

To approximate 2 + √27/5 to two decimal places using only a calculator with basic functions and being mindful of significant figures, here are the steps you would follow:

• First, calculate the square root of 27. Enter '27' and use the square root function (√). Assume the calculator shows an eight-digit output like '5.19615242...'.
• Next, divide this result by 5. Enter the division symbol (/) and '5'. The calculator might show '1.039230484', but remember to keep extra significant figures without rounding yet.
• Add this result to 2. Enter '2' and the addition symbol (+). The display might now show '3.039230484'.
• Finally, round the final result to two decimal places. Since we are adding, we look at the decimal places and not significant figures, so the rounded answer is '3.04'.

Throughout this process, carry the maximum number of decimal places the calculator can handle until the final answer, then apply rules for rounding based on the type of operation performed in the last step.