Select the appropriate sign:
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Select the appropriate sign:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We observe the numbers and .
Step 2: Starting from the left, both numbers have the digits 1 and 5 in the ten-thousands and thousands places, respectively, which are equal. At the hundreds place, both numbers show 8. At the tens place, 15,800 has 0, and 15,911 has 1. Since 0 is less than 1, we determine that 15,800 is less than 15,911.
Step 3: Therefore, the correct sign to place between the numbers is .
Therefore, the solution is to place the sign between the numbers: .
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Select the appropriate sign:
\( 24,909\Box24,990 \)
Place value determines which digits are most important! The leftmost digits represent larger values. In 15,800 vs 15,911, the tens place difference (0 vs 1) matters more than any other digits.
That's when careful place-by-place comparison is most important! Even if numbers like 15,800 and 15,911 seem close, one difference in place value determines the entire comparison.
It can help! Vertical alignment makes it easier to compare corresponding place values:
Now you can clearly see digit differences.
Keep comparing until you find the first difference! In 15,800 vs 15,911, the first four digits are identical (1-5-8-0), but at the tens place, 0 < 1, so 15,800 < 15,911.
Absolutely! On a number line, 15,800 comes before 15,911, which confirms that 15,800 < 15,911. The smaller number is always to the left of the larger number.
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