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 $9$ .

Final Answer

$\boxed{0.00079}$

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