Question

1. A student tries to calculate 0.999^100,000 on a calculator and finds the answer to be 3.53852769E-44. The student wonders how it could be that when a number so close to one, like 0.999^100,000, is raised to the 100,000 power, the result is a number very close to zero. How do you respond?

Answer 1

Big "E" Stands Let for me explain what is first in calculator word it stands for the exponent But it is used to specify a how many places to the right to move or left to decimal point of the mor number that before it. move the comes for example, 5 E6 is the 5000000 non number E6 means loe 106 and 5 E 6 means 5x 106 Similarly. 5E-6 0.000005 & stands for that means and 5E-6 3x106 Now, lel have got Comes to the anwers) Here in the calulator you 3.538 52769 E-44 When your calculate 0.999"loomoo so clearly 3.538 52769E-44 means 3.53852769x1099 which is close to Zero

now, why calculator show this a Calculator show this for limitation of displaying digit for example it Calculator g digit. has capacity to display noda consider when so - enter 123456789 show 123456789 aho The display say But as Beyond a digit the calculator, can not display number so When 어 multiply 12 3 4 5 6 7 8 9 by the calutor wheill show, 1.234567611 m so The proble is the the calculator, Cannot display more thom 9 digits But cap the calculator has to show the result so, it adopts the expression in combination of E tomap