Question

Compare and arrange in ascending order:
12.056, 12.56, 12.054, 12.54, 12.060

• A. 12.056, 12.054, 12.06, 12.54, 12.56
• B. 12.06, 12.054, 12.056, 12.54, 12.56
• C. 12.054, 12.056, 12.54, 12.56, 12.06
• D. 12.054, 12.056, 12.06, 12.54, 12.56

Answer 1

The correct option is D

12.054, 12.056, 12.06, 12.54, 12.56

$\begin{array}{cccccc}\text{Number}& \text{Tens}& \text{Ones}& \text{Tenths}& \text{Hundredths}& \text{Thousandths}\\ 12.056& 1& 2& 0& 5& 6\\ 12.56& 1& 2& 5& 6& 0\\ 12.054& 1& 2& 0& 5& 4\\ 12.54& 1& 2& 5& 4& 0\\ 12.060& 1& 2& 0& 6& 0\end{array}$

All the given decimals have the same number of tens(1) and the same number of ones (2).

So, we start by comparing the digits in the tenths place.
Since $5>0,$ we have 12.56 and 12.54 to be greater than the remaining ones.

Comparing the digits at the hundredths places of 12.56 and 12.54, we get $12.56>\mathrm{12.54.}$

Comparing the same for 12.056, 12.054 and 12.060, we get
$12.056,12.054<\mathrm{12.060.}$

Comparing the digits at the thousandths place, we have $12.054<\mathrm{12.056.}$

Arranging in ascending order , we have
12.054 , 12.056 , 12.060 , 12.54 , 12.56