Let's solve the given problem step-by-step:
1. Identify the given values:
- The first number is [tex]\(0.34\)[/tex].
- The second number is [tex]\(0.568\)[/tex].
2. Perform the multiplication:
- Multiply [tex]\(0.34\)[/tex] by [tex]\(0.568\)[/tex].
3. Determine the number of significant figures in the given values:
- The number [tex]\(0.34\)[/tex] has 2 significant figures.
- The number [tex]\(0.568\)[/tex] has 3 significant figures.
4. Report the result to the correct number of significant figures:
- When multiplying numbers, the result should be reported to the least number of significant figures in any of the given values.
- The least number of significant figures in the given values is 2 (from [tex]\(0.34\)[/tex]).
5. Present the result:
- The result of the multiplication is [tex]\(0.19312\)[/tex].
- Rounded to 2 significant figures, the result is [tex]\(0.19\)[/tex].
Thus, the result of the multiplication [tex]\(0.34 \times 0.568\)[/tex] reported to the correct number of significant figures is:
[tex]\[
0.34 \times 0.568 = 0.19
\][/tex]
