To determine the number of significant figures in the answer when multiplying [tex]$1.22$[/tex] by [tex]$0.91$[/tex], follow these steps:
1. Identify significant figures in each number:
- For [tex]$1.22$[/tex], look carefully at the digits:
- All three digits (1, 2, 2) are significant.
- Hence, [tex]$1.22$[/tex] has 3 significant figures.
- For [tex]$0.91$[/tex], observe the digits:
- The leading zero is not significant.
- The digits 9 and 1 are significant.
- Therefore, [tex]$0.91$[/tex] has 2 significant figures.
2. Rule for multiplication and division with significant figures:
- When performing multiplication or division, the number of significant figures in the final result should be the same as the number with the fewest significant figures from the original numbers.
3. Apply the rule:
- [tex]$1.22$[/tex] has 3 significant figures.
- [tex]$0.91$[/tex] has 2 significant figures, which is fewer than 3.
- Therefore, the final product should have the same number of significant figures as the number with the fewest significant figures, which is 2.
4. Conclusion:
- The product of [tex]$1.22 \times 0.91$[/tex] should have 2 significant figures.
So, the answer to how many significant figures would be in the result is:
```
2
```
