Questions: Round to 2 significant figures.
0.000789
Transcript text: Round to 2 significant figures.
\[
0.000789
\]
Solution
Solution Steps
To round a number to a specified number of significant figures, we need to identify the first non-zero digit and count the required number of digits from there. We then round the number accordingly.
Step 1: Identify the First Non-Zero Digit
To round the number \(0.000789\) to 2 significant figures, we first identify the first non-zero digit. In this case, the first non-zero digit is \(7\).
Step 2: Count the Required Significant Figures
Starting from the first non-zero digit, we count two significant figures. The digits are \(7\) and \(8\).
Step 3: Round the Number
We round the number \(0.000789\) to two significant figures. The third digit after the first two significant figures is \(9\), which is greater than \(5\). Therefore, we round up the second significant figure from \(8\) to \(9\).