The Real Numbers: example 1.120

Order $0.83___0.803$ using $<$ or $> .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Order the following pair of numbers, using $< or > : 0.76___0.706 .$

How did it go?

	$0.83___0.803$
Write the numbers one under the other, lining up the decimals.	$\begin{matrix} 0.83 \\ 0.803 \end{matrix}$
They do not have the same number of digits. Write one zero at the end of 0.83.	$\begin{matrix} 0.830 \\ 0.803 \end{matrix}$
Since $830 > 803$ , 830 thousandths is greater than 803 thousandths.	$0.830 > 0.803$
	$0.83 > 0.803$

	$0.83___0.803$
Write the numbers one under the other, lining up the decimals.	$\begin{matrix} 0.83 \\ 0.803 \end{matrix}$
They do not have the same number of digits. Write one zero at the end of 0.83.	$\begin{matrix} 0.830 \\ 0.803 \end{matrix}$
Since $830 > 803$ , 830 thousandths is greater than 803 thousandths.	$0.830 > 0.803$
	$0.83 > 0.803$