Ascending and Descending Order of Decimals

Ascending Order

Ascending numbers refer to a sequence of numbers arranged in increasing order from left to right. This means that each number in the sequence is greater than the previous one and the sequence continues to increase as you move from left to right.

Descending Order

Descending numbers refer to a sequence of numbers arranged in decreasing order, from the largest to the smallest. This means that each number in the sequence is smaller than the previous one and the sequence continues to decrease as you move from left to right.

Ascending and Descending Order of Decimals

Ascending order of decimals: It means arranging the decimal numbers from smallest to largest.

Example: 2.61 < 2.75 < 2.9 < 2.93

Descending order of decimals: It means arranging the decimal numbers from largest to smallest.

Example: 2.93 > 2.9 > 2.75 > 2.61

To arrange decimals in ascending/descending order, we compare the whole numbers first, then the tenths, hundredths, thousandths, and so on.

Consider the following set of decimals:

0.153, 0.895, 0.721, 0.468, 0.926

To arrange these decimals in descending order by comparing the tenths and hundredths place, we start by comparing the tenths place of each decimal number. The largest tenths digit is 9, which is in the decimal 0.926.

Therefore, we can put this decimal first:

0.926, ____, ____, ____, ____

Next, we compare the tenths place of the remaining decimals. The next largest tenths digit is 8, which is in the decimal 0.895.

Therefore, we can put this decimal next:

0.926, 0.895, ____, ____, ____

Next, we compare the tenths place of the remaining decimals. The next largest tenths digit is 7, which is in the decimal 0.721.

Therefore, we can put this decimal next:

0.926, 0.895, 0.721, ____, ____

Now we have three decimals left to compare. To compare the hundredths place, we look at the digits to the right of the tenths place.

For the three remaining decimals, the hundredths digits are:

•  0.153 has a hundredths digit of 5
• 0.468 has a hundredths digit of 6

We can see that the decimal with the largest hundredths digit is 0.468.

Therefore, we can put this decimal next:

0.926, 0.895, 0.721, 0.468, ____

Finally, we have one decimal left to place:

0.926, 0.895, 0.721, 0.468, 0.153

Therefore, the decimals arranged in descending order are:

0.926 > 0.895 > 0.721 > 0.468 > 0.153.