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

a) 9cm + 2.8 cm= 11.8cm (unrounded)

b) 0.135 atm + 0.6 atm= 0.735 atm (unrounded)

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a. 11.8 is rounded to ones place and thus has 2 significant figures

B. 0.735 is rounded to tenth place and has one significant figures

In order to determine the decimal place to which each answer should be rounded and the number of significant figures of the rounded answer, we need to look at the given numbers and apply the rules for significant figures and decimal places.

a) For the addition of 9 cm and 2.8 cm, the answer is 11.8 cm.

To determine the decimal place for rounding, we look at the number with the fewest decimal places in the given numbers, which is 2.8 cm. Since it has one decimal place, we round the answer to one decimal place.

Therefore, the rounded answer should be 11.8 cm (rounded to one decimal place), and it has three significant figures.

b) For the addition of 0.135 atm and 0.6 atm, the answer is 0.735 atm.

To determine the decimal place for rounding, we look at the number with the fewest decimal places in the given numbers, which is 0.6 atm. Since it also has one decimal place, we round the answer to one decimal place.

Therefore, the rounded answer should be 0.7 atm (rounded to one decimal place), and it has two significant figures.

To determine the decimal place to which each answer should be rounded and the number of significant figures in the rounded answer, you need to consider the given numbers in the calculation.

a) 9cm + 2.8cm = 11.8cm (unrounded)

To find the decimal place to which the answer should be rounded, you need to look at the decimal places in the given numbers. The first number, 9cm, has no decimal places, and the second number, 2.8cm, has one decimal place. In the addition process, the decimal places are preserved, so the answer, 11.8cm, also has one decimal place.

Now let's determine the number of significant figures in the rounded answer. Significant figures are the digits that carry meaningful information in a number. In this case, the second number, 2.8cm, has two significant figures. When added to the first number, 9cm, the significant figures are preserved, and the rounded answer, 11.8cm, also has two significant figures.

Therefore, the answer should be rounded to one decimal place, and it has two significant figures.

b) 0.135 atm + 0.6 atm = 0.735 atm (unrounded)

The same steps can be followed for this calculation. The given numbers, 0.135 atm and 0.6 atm, both have three decimal places. When added together, the decimal places are preserved, and the answer, 0.735 atm, also has three decimal places.

Regarding the significant figures, the first number, 0.135 atm, has three significant figures, and the second number, 0.6 atm, has one significant figure. When added, the significant figures are preserved, and the rounded answer, 0.735 atm, has three significant figures.

Thus, the answer should be rounded to three decimal places, and it has three significant figures.