Certainly! Let's walk through the process of rounding [tex]\(8,778,000\)[/tex] to 2 significant figures step-by-step.
1. Identify the significant figures: Significant figures are the digits that carry meaning contributing to its precision. For the number [tex]\(8,778,000\)[/tex], the first two significant figures are the '8' and '7'.
2. Find the position of the third digit: The third digit is '7', and since it is 5 or greater, we need to round up the second digit.
- Starting number: [tex]\(8,778,000\)[/tex]
- First significant figure: 8
- Second significant figure: 7
- Third digit (determine rounding): 7
3. Round the second digit: Because the third significant figure '7' is greater than or equal to 5, we round the second figure from 7 to 8.
4. Rest of the digits: After rounding, we need to replace all digits following our two significant digits with zeros for simplicity in large numbers.
5. Construct the rounded number: Convert everything beyond the two significant digits to zeros.
- First two significant figures rounded: 88
- Place the rest with zeros considering the number's magnitude.
So following this step-by-step approach:
[tex]\(8,778,000\)[/tex] rounded to 2 significant figures is [tex]\(8,800,000\)[/tex].
Thus, the number [tex]\(8,778,000\)[/tex] rounded to 2 significant figures is [tex]\(8,800,000\)[/tex].
