Final answer:
Three aids to manual calculating include using unit conversions, following calculator guidance for devices like TI-83 and 84, and utilizing statistical software for complex calculations.
Step-by-step explanation:
Three important aids to manual calculating are unit conversions, calculator guidance, and the use of statistical software. Unit conversion factors can be extremely helpful for precise calculations, often used one after the other in a sequence. An example of this might be converting inches to centimeters, then to meters, and finally to kilometers.
Calculator guidance, such as that provided for TI-83 and 84 series calculators, allows students to follow step-by-step instructions for inputting data and thereby assists in complex calculations. These techniques are especially useful in subjects that require extensive computations, including algebra and statistics.
Last but not least, statistical software and advanced calculators can perform tasks like calculating best-fit lines or statistical measures such as mean, median, and mode. This reduces the tedium of manual calculations and can provide quick and accurate results, which is essential in real-world applications and higher-level mathematics.