Select the Appropriate Sign: Comparing 990,090 with 999,000

Place Value Comparison with Six-Digit Numbers

Select the appropriate sign:

990,090999,000 990,090\Box999,000

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Select the appropriate sign:

990,090999,000 990,090\Box999,000

2

Step-by-step solution

To solve this problem, we'll compare the numbers 990,090 990,090 and 999,000 999,000 digit by digit from left to right.

  • Step 1: Start at the hundred-thousands place: - The first number has 9, and the second number also has 9, so they are equal.
  • Step 2: Move to the ten-thousands place: - The first number has 9, and the second number also has 9; still equal.
  • Step 3: Move to the thousands place: - The first number has 0, and the second number has 9; 9 is greater than 0.

Since the thousands digit (0 vs 9) determines the comparison, we conclude that 999,000 is greater than 990,090.

Therefore, the correct comparison is 990,090 990,090 < 999,000 999,000 , so the appropriate sign is <<.

3

Final Answer

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Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right starting with largest place
  • Technique: Stop at first different digit: 990,090 has 0 vs 999,000 has 9
  • Check: Verify by counting up: 990,090 + 8,910 = 999,000 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing from right to left instead of left to right
    Don't start with ones place (0 vs 0) and work left = missing the real difference! This ignores how place value works and leads to wrong comparisons. Always start with the leftmost (highest) place value and work right until you find different digits.

Practice Quiz

Test your knowledge with interactive questions

Select the appropriate sign:

\( 24,909\Box24,990 \)

FAQ

Everything you need to know about this question

Why do we compare from left to right?

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Because the leftmost digits have the highest place value! A difference in the hundred-thousands place is much more important than differences in smaller places like ones or tens.

What if the first few digits are the same?

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Keep moving right until you find different digits. In 990,090 vs 999,000, the first two digits (99) are the same, but the third digit (0 vs 9) shows us which number is larger.

Do I need to look at all the digits?

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No! You can stop as soon as you find different digits. Once you see that 990,090 has 0 in thousands place while 999,000 has 9, you know which is larger.

How can I double-check my comparison?

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Try subtracting the smaller from the larger: 999,000990,090=8,910 999,000 - 990,090 = 8,910 . Since this gives a positive result, 999,000 is indeed larger.

What if I get confused by all the zeros?

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Focus on the non-zero digits first! In these numbers, look at positions: 9-9-0 vs 9-9-9. The third position (0 vs 9) tells you everything you need to know.

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