Question

Arrange the numbers in decending orders:

$157.26,168.31,184.98,157.206\text{and}184.899$

• A. $157.206,157.26,168.31,184.899,184.98$
• B. $184.98,184.899,168.31,157.26,157.206$
• C. $184.98,184.899,168.31,157.206,157.26$

Answer 1

The correct option is B $184.98,184.899,168.31,157.26,157.206$

Let's first compare the whole number part of each number.

From the list of numbers $157.26,168.31,184.98,157.206\text{and}184.899,$ there are three distinct whole number part:

$184,168\text{and}157$

Comparing these numbers, we get:
$184>168>157$

Let's compare the numbers starting with 184 by aligning the decimals.
Place Value Table

H	T	O	.	t	h	th
1	8	4	.	9	8	0
1	8	4	.	8	9	9

By comparing the tenths column digit, we get:
$184.98>184.899$

Hence, $184.98>184.899>168.31$

Similarly, compare the numbers starting with 157 by aligning the decimal points. Place Value Table

H	T	O	.	t	h	th
1	5	7	.	2	6	0
1	5	7	.	2	0	6

By comparing the hundredths column digit, we get:
$157.26>157.206$

$\therefore 184.98>184.899>168.31>157.26>157.206$

Hence, the decending order is:

$184.98,184.899,168.31,157.26,157.206$