Precalc0001to0005-page17

Precalc0001to0005-page17 - Exact vs. Approximate Answers...

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(Section 0.3: Rounding) 0.3.1 SECTION 0.3: ROUNDING LEARNING OBJECTIVES • Be able to round off decimals to a specified decimal place, a specified number of decimal places, or a specified number of significant digits (or figures). PART A: DISCUSSION • Calculators and Intermediate Steps Try to avoid rounding when solving a problem, even if you are asked to give a decimal approximation as your answer. You may want to use memory operations on your calculator to preserve as much decimal accuracy as possible. If you press the ± button on a calculator, you may see the decimal 3.14159265 in the display. This is not an exact representation of . Be aware that a long decimal expression on your calculator’s display may or may not be an exact representation of the number you want.
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Unformatted text preview: Exact vs. Approximate Answers Unless other instructions are given, your math instructors will typically expect you to give exact answers to problems, with the possible exception of word problems. For example, if the answer to a problem is , you should write . In addition, you may be asked to write some decimal approximation such as 3.14. Expressions such as 2 , ln5 (see Chapter 3), and sin37 (see Chapter 4), should be handled similarly. Word Problems Depending on the nature of a word problem, decimal answers may need to be rounded down, rounded up, or rounded off. Remember to write any appropriate units such as feet, pounds, etc. as part of your answer....
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