Question

question 8 5 points using your data table 1, from your procedure document: input your answers here. 820.0 has blank 1 significant figures. blank 1 add your answer

Explanation:

Step1: Recall significant figure rules

Significant figures: Non - zero digits are significant. Zeros between non - zero digits are significant. Trailing zeros in a decimal number are significant.
For the number 820.0:

• The digit 8 is non - zero, significant.
• The digit 2 is non - zero, significant.
• The zero between 8 and 2 is between non - zero digits, significant? Wait, no, 820.0: the first two digits 8 and 2 are non - zero, the zero after 2: but since there is a decimal point, the trailing zero (the one at the end, after the decimal) is significant, and the zero before the decimal (the one between 2 and the decimal) is also significant because of the decimal? Wait, let's break down 820.0:

Digits: 8 (significant), 2 (significant), 0 (between 2 and the decimal? Wait, 820.0 is 8×100+2×10 + 0×1+0×0.1. Wait, no, 820.0 is 820.0, so the digits are 8, 2, 0, 0. But with the decimal point, the trailing zero (the last 0) is significant, and the zero before the decimal (the third digit, 0) is also significant because the decimal shows that we are considering the precision. Wait, the rules for significant figures:

1. All non - zero numbers are significant.
2. Zeros between two non - zero digits are significant.
3. Trailing zeros in a number with a decimal point are significant.

So for 820.0:

• 8 is significant (non - zero).
• 2 is significant (non - zero).
• The zero between 8 and 2? No, 820.0: the digits are 8, 2, 0, 0. Wait, 820.0: the first two digits 8 and 2 are non - zero. The third digit is 0, and then there is a decimal and a zero. So according to the rule, trailing zeros in a decimal number are significant. Also, the zero between 2 and the decimal: since the number has a decimal, the zero before the decimal (the one in the ones place) is significant? Wait, let's count:

8 (1st, significant), 2 (2nd, significant), 0 (3rd, significant because the number has a decimal, so the zero in the ones place is significant), 0 (4th, significant because it's a trailing zero after the decimal). Wait, no, 820.0: the number is 820.0. Let's write it in scientific notation: \(8.200\times10^{2}\). In scientific notation, all the digits in the coefficient are significant. So the coefficient is 8.200, which has 4 significant figures. So 820.0 has 4 significant figures.

Answer:

4