Let's break down the number 66,666 into its place values:
- The thousands place is represented by 6,000.
- The hundreds place is represented by 600.
Now, we need to compare 6,000 (thousands place) and 600 (hundreds place).
To find the correct equation that compares them, we can look at the options:
A: \(60,000 ÷ 6,000 = 10\)
B: \(600 ÷ 6 = 100\)
C: \(6,000 ÷ 600 = 10\)
D: \(60,000 ÷ 600 = 100\)
Now let's analyze each option:
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Option A: \(60,000 ÷ 6,000 = 10\) → This calculates the relation between the 60,000 place and 6,000, not relevant for comparing thousands and hundreds.
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Option B: \(600 ÷ 6 = 100\) → This is comparing hundreds to tens and isn't relevant here.
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Option C: \(6,000 ÷ 600 = 10\) → This correctly compares the thousands place (6,000) and the hundreds place (600). It shows that the thousands place is 10 times larger than the hundreds place.
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Option D: \(60,000 ÷ 600 = 100\) → This is also not relevant here as it compares a larger place value with hundreds.
Thus, the correct equation that compares the thousands place and hundreds place in 66,666 is:
C. \(6,000 ÷ 600 = 10\)