Chapter 4.7, Problem 46IP

To determine

To determine whether an irrational number can be written as a terminating decimal.

Answer to Problem 46IP

Never, an irrational number cann’t be written as a terminating decimal. .

Explanation of Solution

Given information: an irrational number can be written as a terminating decimal.

  $\begin{array}{l}\text{An irrational number has endless non-repeating digits to the right of the decimal point}\text{.}\\ \text{In fact, between 0 and 1 on the number line , there are infinite number of irrational number}\text{.}\\ \text{A terminating decimal is usually defined as a decimal number that contains a finite number }\\ \text{of digit after the decimal points}\text{.}\\ \text{Hence, never, an irrational number cann't be written as a terminating decimal}\text{.}\end{array}$