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4 votes
Calculate the result of each of the following problems to the correct number of

significant digits:
(a) 163521cm°-1.448cm?
(b) (92.12 mL) (0.12 g/mL) - 223.02 g
7.085cm
(c) 1.41 × 107 g - 5.98 × 10° g
(d) 141X10°9-5.98x10°g

User Mandisa
by
7.4k points

1 Answer

4 votes

Answer:

Step-by-step explanation:

(a) To subtract 1.448 cm from 163521 cm, we first need to convert 1.448 cm to the same units as 163521 cm. Since both quantities are in cm, we can subtract them directly:

163521 cm - 1.448 cm = 163519.552 cm

The answer should be reported to the same number of significant figures as the least precise quantity, which is 1.448 cm. Since it has three significant figures, the answer should also be reported to three significant figures:

163519.552 cm → 163520 cm

Therefore, the result of the calculation is 163520 cm.

(b) Using the given values, we can calculate:

(92.12 mL) (0.12 g/mL) - 223.02 g / 7.085 cm

= 11.0544 g - 31.46038 g/cm

= -20.40598 g

The answer should be reported to the same number of significant figures as the least precise quantity, which is 7.085 cm. Since it has four significant figures, the answer should also be reported to four significant figures:

-20.40598 g → -20.41 g

Therefore, the result of the calculation is -20.41 g.

(c) Using the given values, we can calculate:

1.41 × 107 g - 5.98 × 10° g

= 1.41 × 107 g

The answer should be reported to the same number of significant figures as the most precise quantity, which is 1.41 × 107 g. Since it has three significant figures, the answer should also be reported to three significant figures:

1.41 × 107 g → 1.41 × 107 g

Therefore, the result of the calculation is 1.41 × 107 g.

(d) Using the given values, we can calculate:

141 × 109 - 5.98 × 10° g

= 141 × 109 g

The answer should be reported to the same number of significant figures as the most precise quantity, which is 141 × 109. Since it has three significant figures, the answer should also be reported to three significant figures:

141 × 109 g → 141 × 109 g

Therefore, the result of the calculation is 141 × 109 g.

User Ritesh Bhavsar
by
8.4k points