part 5 (operations in significant figures) perform the following operations giving the proper number of…

part 5 (operations in significant figures) perform the following operations giving the proper number of significant figures in the answer. remember! addition and subtraction = least decimal places multiplication and division = least significant figures\n\n|operations|decimal places or significant figures?|answer|final answer|\n|----|----|----|----|\n|7.995 + 3.4|decimal||\n|0.0945 x 1.48|decimal||\n|0.005 - 0.0008|significant||\n|7.795 / 34|significant||\n|6.25/5|||\n|350.0 - 100|||\n|27.58 - 14.369|||\n|25.4 x 14|||

part 5 (operations in significant figures) perform the following operations giving the proper number of significant figures in the answer. remember! addition and subtraction = least decimal places multiplication and division = least significant figures\n\n|operations|decimal places or significant figures?|answer|final answer|\n|----|----|----|----|\n|7.995 + 3.4|decimal||\n|0.0945 x 1.48|decimal||\n|0.005 - 0.0008|significant||\n|7.795 / 34|significant||\n|6.25/5|||\n|350.0 - 100|||\n|27.58 - 14.369|||\n|25.4 x 14|||

Answer

Explanation:

Step1: Calculate 7.995 + 3.4

For addition, we look at decimal places. 3.4 has one - decimal place. $7.995+3.4 = 11.395$. Rounding to one - decimal place gives 11.4.

Step2: Calculate 0.0945×1.48

For multiplication, we look at significant figures. 0.0945 has 3 significant figures and 1.48 has 3 significant figures. $0.0945\times1.48 = 0.13986$. Rounding to 3 significant figures gives 0.140.

Step3: Calculate 0.005 - 0.0008

For subtraction, we look at decimal places. 0.005 has 3 decimal places. $0.005−0.0008 = 0.0042$. Rounding to 3 decimal places gives 0.004.

Step4: Calculate 7.795÷34

For division, we look at significant figures. 34 has 2 significant figures. $7.795\div34\approx0.229265$. Rounding to 2 significant figures gives 0.23.

Step5: Calculate 6.25÷5

For division, we look at significant figures. 5 has 1 significant figure. $6.25\div5 = 1.25$. Rounding to 1 significant figure gives 1.

Step6: Calculate 350.0 - 100

For subtraction, we look at decimal places. 100 has no decimal places. $350.0−100 = 250$.

Step7: Calculate 27.58 - 14.369

For subtraction, we look at decimal places. 27.58 has 2 decimal places. $27.58−14.369 = 13.211$. Rounding to 2 decimal places gives 13.21.

Step8: Calculate 25.4×14

For multiplication, we look at significant figures. 14 has 2 significant figures. $25.4\times14 = 355.6$. Rounding to 2 significant figures gives 360.

Operations Decimal places or significant figures? Answer FINAL answer
7.995 + 3.4 Decimal 11.395 11.4
0.0945×1.48 Significant 0.13986 0.140
0.005 - 0.0008 Decimal 0.0042 0.004
7.795÷34 Significant 0.229265 0.23
6.25÷5 Significant 1.25 1
350.0 - 100 Decimal 250 250
27.58 - 14.369 Decimal 13.211 13.21
25.4×14 Significant 355.6 360

Answer:

Operations Decimal places or significant figures? Answer FINAL answer
7.995 + 3.4 Decimal 11.395 11.4
0.0945×1.48 Significant 0.13986 0.140
0.005 - 0.0008 Decimal 0.0042 0.004
7.795÷34 Significant 0.229265 0.23
6.25÷5 Significant 1.25 1
350.0 - 100 Decimal 250 250
27.58 - 14.369 Decimal 13.211 13.21
25.4×14 Significant 355.6 360