Round off each of the following to the number of significant figures as given
in brackets.
(a) 3748 (3 s.f.)
(b) 0,004 709 89 (4 s.f.)
(c) 4971 (2 s.f.)
(d) 0.099 99 (2 s.f. and 3 s.f.)
Answers
Answer:
3748 (3 s.f.)
Step-by-step explanation:
3748 (3 s.f.)
Given:
Few numbers.
To find:
Round off each number of significant figures.
Solution:
(a) 3748 (3 s.f.)
Three significant figures: The third digit (from the left) is 4. The next significant digit is 8, and since this is greater than 5, round up. We get 3750.
(b) 0,004 709 89 (4 s.f.)
Four significant figures: The fourth digit (from the left) is 4. The next significant digit is 7, and since this is greater than 5, round up. We get 0,00471000.
(c) 4971 (2 s.f.)
Two significant figures: The second digit (from the left) is 9. The next significant digit is 7, and since this is greater than 5, round up. We get 5000.
(d) 0.099 99 (2 s.f. and 3 s.f.)
Two significant figures: The second digit (from the left) is 9. The next significant digit is 9, and since this is greater than 5, round up. We get 0.10.
Three significant figures: The third digit (from the left) is 9. The next significant digit is 9, and since this is greater than 5, round up. We get 0.100.
Therefore, these are the numbers that are obtained after rounding off to the number of significant figures.