Question

Arrange in ascending order: 12,098; 12,908; 12,809; 12,890
(a) 12,098; 12,908; 12,809; 12,890
(b) 12,098; 12,809; 12,890; 12,908
(c) 12,098; 12,890; 12,908; 12,809
(d) 12,890; 12,908; 12,809; 12,098

Answer 1

Hint: We will look at the definition of ascending order. Ascending order means increasing order. We will compare the place values of the digits of all numbers from the left-most digit to the right most digit. The first number to have the lowest place value for that place will be the first digit in the ascending order. After assigning the first position, we will continue the comparison for the remaining numbers and complete the order.

Complete step by step answer:
The given numbers are 12,098; 12,908; 12,809; 12,890. We have to arrange these numbers in ascending order. Ascending order is the increasing order. This means that we have to arrange the numbers in such a manner that the first number is the lowest, the second number is the second-lowest, and so on. The last number should be the highest number in the list.
We will compare the place values of digits from the left-most digit of the given numbers. The first two digits of all four numbers are 1 and 2. Therefore, the place values of these digits will not be decisive for the ascending order. Next, we will look at the hundredth place of the digits.
The first number is 12,098. So, the place value of the digit at the hundredth place is 0.
The second number is 12,908. So, the place value of the digit at the hundredth place is 900.
The third number is 12,809. So, the place value of the digit at the hundredth place is 800.
The fourth number is 12,890. So, the place value of the digit at the hundredth place is 800.
We can see that the lowest place value is 0. So, the number 12,098 is the first number in the ascending order. The highest place value is 900. Hence, the last number in the ascending order is 12,908.
Now, for the middle two numbers, both have the same place value for the digit at the hundredth place. So, we will compare the place value of digits at the tens place. In the number 12,809 the tens place has the digit 0. So, its place value is 0. And in the number 12,890 the tens place has the digit 9. So, its place value is 90. Clearly, the number 12,809 should be placed before the number 12,890.
Hence, the ascending order is as follows: 12,098; 12,809; 12,890; 12,908.

Therefore, the correct option is (b).

Note:
 We should be familiar with the concept of place values of digits in a number. It is useful for such types of questions. The ascending order is the increasing order. Similarly, the descending order is the decreasing order. In descending order, the highest number should be first on the list and the lowest number should be the last number in the list.