Arrange the following numbers from greatest to least:
a) $6,37,09,625$
b) $97,45,13,406$
c) $38,29,10,503$
d) $3,84,93,103$

Count the number of digits in each number.
Compare the digits from left to right for numbers with the same number of digits.
Arrange the numbers in descending order based on the comparison.
The final arrangement from greatest to least is: 97 , 45 , 13 , 406 ; 6 , 37 , 09 , 625 ; 38 , 29 , 10 , 503 ; 3 , 84 , 93 , 103 ​

Explanation

Understanding the Problem We are given four numbers: 6 , 37 , 09 , 625 , 97 , 45 , 13 , 406 , 38 , 29 , 10 , 503 , and 3 , 84 , 93 , 103 . Our goal is to arrange them from the largest to the smallest. To do this, we will compare the numbers based on their place values, starting from the leftmost digit.

Counting Digits First, let's count the number of digits in each number:



6 , 37 , 09 , 625 has 9 digits.
97 , 45 , 13 , 406 has 9 digits.
38 , 29 , 10 , 503 has 9 digits.
3 , 84 , 93 , 103 has 8 digits.

Since 3 , 84 , 93 , 103 has fewer digits than the others, it is the smallest among the four numbers.

Comparing Hundred Millions Place Now, let's compare the three 9-digit numbers: 6 , 37 , 09 , 625 , 97 , 45 , 13 , 406 , and 38 , 29 , 10 , 503 . We start by comparing the leftmost digit (the digit in the hundred millions place):


6 , 37 , 09 , 625 has 6 in the hundred millions place.
97 , 45 , 13 , 406 has 9 in the hundred millions place.
38 , 29 , 10 , 503 has 3 in the hundred millions place.

Since 9 is the largest, 97 , 45 , 13 , 406 is the largest number. Then comes 6 , 37 , 09 , 625 and finally 38 , 29 , 10 , 503 .

Final Arrangement Therefore, the order from greatest to least is: 97 , 45 , 13 , 406 , 6 , 37 , 09 , 625 , 38 , 29 , 10 , 503 , 3 , 84 , 93 , 103 .

Final Answer So, the numbers arranged from greatest to least are: 97 , 45 , 13 , 406 ; 6 , 37 , 09 , 625 ; 38 , 29 , 10 , 503 ; 3 , 84 , 93 , 103 ​


Examples
Understanding how to order numbers from greatest to least is useful in many real-life situations. For example, when dealing with budgets, you might want to quickly identify which expense is the largest. Similarly, in sports, you might want to rank teams based on their scores or points. This skill is also essential in understanding data and statistics, where you often need to arrange data sets in a specific order to draw meaningful conclusions. Knowing how to compare and order numbers helps in making informed decisions and understanding the relative size of different quantities.

Answered by GinnyAnswer | 2025-07-03

To arrange the provided numbers from greatest to least, we first counted the digits and compared them. The largest number is 97 , 45 , 13 , 406 , followed by 38 , 29 , 10 , 503 , then 6 , 37 , 09 , 625 , and finally 3 , 84 , 93 , 103 . The final order from greatest to least is: 97 , 45 , 13 , 406 ; 38 , 29 , 10 , 503 ; 6 , 37 , 09 , 625 ; 3 , 84 , 93 , 103 .
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Answered by Anonymous | 2025-07-04