Question

the correct number of significant figures in the number 1.250100 is:
○ none of the above
○ 4
○ 7
○ 5
○ ambiguous

question 4
1 pts
when the value 4.449 is rounded to two significant figures, the number should be reported as:
○ 4.4
○ 4.5

Explanation:

First Question (Significant Figures in 1.250100)

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 \(1.250100\):

• The non - zero digits \(1\), \(2\), \(5\), \(1\) are significant.
• The zero between \(5\) and \(1\) (i.e., the fourth digit \(0\)) is significant.
• The trailing zeros after the last non - zero digit (the two zeros at the end) are significant.

Let's count them: \(1\), \(2\), \(5\), \(0\), \(1\), \(0\), \(0\). So there are 7 significant figures.

Step1: Identify the first two significant figures

The first significant figure is \(4\) (the left - most non - zero digit), the second significant figure is also \(4\) (the next digit). The digit after the second significant figure is \(4\) (the third digit in \(4.449\)).

Step2: Apply Rounding Rule

When rounding, if the digit to be dropped is less than \(5\), we round down. Here, the digit after the second significant figure (\(4\)) is \(4\) (from \(4.449\)), so we keep the second significant figure as it is.

So \(4.449\) rounded to two significant figures is \(4.4\) (or \(44\) if we consider it in non - decimal form with two significant figures, but in decimal form it is \(4.4\)). Wait, if we consider the number \(4.449\), the first two significant figures are \(4\) and \(4\), the next digit is \(4\) which is less than \(5\), so we round down. So the number is \(4.4\) (or \(44\) if we are writing it without the decimal point but still considering two significant figures).

Answer:

7 (corresponding to the option "7")

Second Question (Rounding 4.449 to two significant figures)