Question

Arrange the following decimals in descending order:

4.46, 4.45, 4.07, 4.86, 4.49

• A. 4.45, 4.07, 4.86, 4.49, 4.46
• B. 4.86, 4.49, 4.46, 4.45, 4.07
• C. 4.07, 4.49, 4.46, 4.45, 4.86
• D. 4.86, 4.49, 4.07, 4.46, 4.45

Answer 1

The correct option is B

4.86, 4.49, 4.46, 4.45, 4.07

The place value chart for the given decimals is given below.

$\begin{array}{cccc}\text{Decimal}& \text{Ones}& \text{Tenths}& \text{Hundredths}\\ 4.46& 4& 4& 6\\ 4.45& 4& 4& 5\\ 4.07& 4& 0& 7\\ 4.86& 4& 8& 6\\ 4.49& 4& 4& 9\end{array}$

Since the decimals have the same whole number part, we compare the digits in the tenths place.

Greater the number of tenths, greater is the number.
$\therefore$ 4.86 is the greatest and 4.07 is the smallest decimal from the lot.

Also, $4.86>4.45,4.46,4.49>\mathrm{4.07.}$

Since 4.46, 4.45 and 4.49 all have 4 tenths, we compare the digits at the hundredths place.

Greater the number of hundredths, greater is the number.

$\therefore 4.49>4.46>4.45$

Therefore, arranging the decimals in descending order, we have:

4.86, 4.49, 4.46, 4.45, 4.07.