Question

To what decimal place should each answer be rounded? How many significant figures does the rounded answer have?

A. 9 cm + 2.8 cm 11.8 cm (unrounded)
After rounding, the number should be reported to the
Thus, the number has
hundredths place.
ones place.
tenths place.
2 significant figures.
1 significant figure.
3 significant figures.
B. 0.135 atm +0.6 atm 0.735 atm (unrounded)
After rounding, the number should be reported to the
Thus, the number hás
ones place.
hundredths place.
tenths place.
1 significant figure.
2 significant figures.
3 significant figures.

Answer 1

In addition and subtraction, the answer has the same number of decimal places as the number with the smallest number of decimal places in the original numbers. In multiplication and division, the answer has the same number of significant figures as the original number with the fewest significant figures. When performing mathematical operations in a series of steps, keep track of the significant figures and round off the final answer following the rules.

Step-by-step explanation:

In addition and subtraction, the answer has the same number of decimal places as the number with the smallest number of decimal places in the original numbers. For example, 13.2 + 12.252 = 25.452 is rounded to 25.5 to keep one decimal place.

In multiplication and division, the answer has the same number of significant figures as the original number with the smallest number of significant figures. For example, 1.35 x 2.1 = 2.835 is rounded to 2.8.

If mathematical operations are performed in a series of steps, keep track of the significant figures but do not round off intermediate answers. Carry as many digits as possible from the intermediate answers to the next calculation step. Round off the final answer following the above rules.