Ascending Order Challenge: Arrange 138, 97, 753, 103, 179 from Smallest to Largest

Q: How do I compare numbers with different amounts of digits?

A number with more digits is always larger than a number with fewer digits. For example, any 3-digit number like 753 is automatically larger than any 2-digit number like 97.

Q: What if two numbers start with the same digit?

Move to the next digit to the right and compare those. For example, with 138 and 179, both start with 1, so compare the tens place: 3

Q: Should I line up the numbers vertically to compare them?

Yes! Lining up by place value makes comparison much easier:097 (add leading zero if helpful)103138179753

Q: How can I double-check my ascending order is correct?

Read your final list from left to right - each number should be larger than the one before it. Also, the smallest should be first and largest should be last.

Q: What's the difference between ascending and descending order?

Ascending order means from smallest to largest (going up), while descending order means from largest to smallest (going down). Think 'ascending' like climbing up stairs!

Number Ordering with Three-Digit Integers

Place the following numbers in ascending order:

$138,97,753,103,179$

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Understand the problem

Place the following numbers in ascending order:

$138,97,753,103,179$

Step-by-step solution

To place the given numbers $138, 97, 753, 103, 179$ in ascending order, we'll follow these steps:

Step 1: List the numbers which need sorting: $138, 97, 753, 103, 179$ .
Step 2: Identify and select the lowest numerical value. Here, $97$ is the smallest.
Step 3: Remove $97$ , and compare the remaining numbers: $138, 753, 103, 179$ .
Step 4: Next smallest number is $103$ .
Step 5: Continue with $138$ being the next smallest.
Step 6: Then comes $179$ .
Step 7: Finally, the largest number is $753$ .

Thus, the numbers in ascending order are:
$< 97, 103, 138, 179, 753$

Therefore, the correct answer is choice $1$ : $97,103,138,153,179$ .

Final Answer

$97,103,138,153,179$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare digits from left to right to find smallest value
Technique: Start with hundreds digit: 97 < 103 < 138 < 179 < 753
Check: Read final sequence left to right confirms increasing order ✓

Common Mistakes

Avoid these frequent errors

Looking at individual digits instead of whole numbers
Don't compare just the first digit like thinking 753 comes after 97 because 7 > 9! This ignores place value completely. Always compare the complete numerical value of each number from left to right.

Practice Quiz

Test your knowledge with interactive questions

Arrange the numbers in ascending order (smallest to largest):

$$ 85,69,88,61,90 $$

FAQ

Everything you need to know about this question

How do I compare numbers with different amounts of digits?

A number with more digits is always larger than a number with fewer digits. For example, any 3-digit number like 753 is automatically larger than any 2-digit number like 97.

What if two numbers start with the same digit?

Move to the next digit to the right and compare those. For example, with 138 and 179, both start with 1, so compare the tens place: 3 < 7, making 138 < 179.

Should I line up the numbers vertically to compare them?

Yes! Lining up by place value makes comparison much easier:

097 (add leading zero if helpful)
103
138
179
753

How can I double-check my ascending order is correct?

Read your final list from left to right - each number should be larger than the one before it. Also, the smallest should be first and largest should be last.

What's the difference between ascending and descending order?

Ascending order means from smallest to largest (going up), while descending order means from largest to smallest (going down). Think 'ascending' like climbing up stairs!

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