The significant figures in \(500.5000\) are \(\ldots \ldots \ldots \ldots \ldots\) (a) 5 (b) 3 (c) 7 (d) 6

Short Answer

Expert verified
The number of significant figures in \(500.5000\) is \(6\).

Step by step solution

01

Understand Significant Figures

Significant figures are simply non-zero digits or any trapped (sandwiched) zeros between nonzero digits in a number. Leading zeros (0's on the left side) are not considered significant, while trailing zeros (0's on the right side) after a decimal point are considered significant.
02

Identify Significant Figures in the Given Number

We have the number 500.5000. Let's identify the significant figures in this number: - Non-zero digits: 5 and 5 - Trapped zeros: None - Leading zeros: None - Trailing zeros after a decimal point: Four zeros (0000)
03

Count the Significant Figures

Now, let's count the significant figures in the number 500.5000: - Non-zero digits: 2 (5 and 5) - Trailing zeros after a decimal point: 4 (0000) Total significant figures: 2 + 4 = 6
04

Choose the Correct Answer

Based on our calculations, the number of significant figures in 500.5000 is 6. So the correct answer is: (d) 6

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