Final answer:
To calculate the value of e^-3.48 to the nearest ten-thousandth using a calculator, you would need to enter the number, make it negative, and press the exponent button. Scientific notation on calculators is also useful to understand, as it represents very large or small numbers in a simplified form.
Step-by-step explanation:
To find the value of e-3.48 to the nearest ten-thousandth using a calculator, you would typically follow these steps:
Turn on your calculator.
Locate the e or the exponent button (often labeled as EXP) that allows you to enter powers of e.
Enter the value 3.48.
Use the plus/minus button (+/-) to make this number negative.
After that, press the e or exponent button.
Your calculator will display the result, which you can then round to the nearest ten-thousandth.
Remember that different calculators might have slightly different methods for entering powers of e, so it's essential to be familiar with your specific calculator's functions. If your calculator does not have an e button, you may have to use the exponential function, which is often denoted by EXP or ln (the natural logarithm) in reverse.
Understanding Scientific Notation:
It may also be helpful to understand scientific notation, as calculators can display very small or very large numbers in this form. Scientific notation is a way of writing numbers that accommodates values that are too large or too small to be conveniently written in standard decimal form. In scientific notation, numbers are written as a product of two numbers: a coefficient and a power of 10.
For instance:
A number like 56,900 is written as 5.69 × 104.
A very small number like 0.000028 is written as 2.8 × 10-5.
In these examples, the exponent shows the number of places the decimal point has moved. An understanding of scientific notation is essential when working with calculators that use this format for displaying numbers.