Question

Arrange the following in ascending order

123.45, 123.54, 125.43, 125.34, 125.3

Answer 1

123.45, 123.54, 125.43, 125.34, 125.3

Comparing the whole number parts we have 123 is the smallest number and two numbers 123.45 and 123.54 have same whole number part.

So in 123.45 and 123.54 comparing their digits in the tenths place we get 4 < 5

∴ 123.45 < 123.54  ...(1)

Now comparing the remaining numbers

125.43, 125.34, 125.3 they all have the same whole number part.

Comparing the numbers in the tenths place we have 3 < 4

∴ 125.43 is the greatest  ...(2)

Also tenths place value 3 = 3 in 125.34 and 125.3

Again comparing the hundredths place value in 125.34 and 125.3, we get

125.3 < 125.34  ...(3)

From (1), (2) and (3) we have,

123.45 < 123.54 < 125.3 < 125.34 < 125.43