Questions: 42,561

42,561
Transcript text: 42,561
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Solution

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Solution Steps

To round a number to a specific number of significant figures, we need to identify the first four non-zero digits and round the number accordingly. In this case, we will round the number 42,561 to four significant figures.

Step 1: Identify the Significant Figures

To round the number 42,561 to four significant figures, we first identify the first four non-zero digits. The number 42,561 has the digits 4, 2, 5, and 6 as its first four significant figures.

Step 2: Determine the Rounding Position

The fourth significant figure is the digit 6, which is in the hundreds place. Therefore, we need to round the number to the nearest hundred.

Step 3: Apply Rounding Rules

To round 42,561 to the nearest hundred, we look at the digit in the tens place, which is 1. Since 1 is less than 5, we round down, keeping the hundreds digit as it is.

Final Answer

\(\boxed{42,560}\)

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