Question

Perform the following calculations and express your answers in the correct units and rounded to the correct number of significant figures

(2.8 g) (6.86 x 10³ L)
4.2m+6.17m + 14.15m
(3.0x10³ mm)/(8.90x10 mm)
4,617g/0.6784cm³
3.958.3g - 25g - 212.356g
(5.14cm)(6.742cm)

Answer 1

Explanation:

A)

(2.8 g)(6.86 * 10³ l)

= (2.8 g)(6860 l)

as 1l = 1000 g

2.8 g = .0028 l

= (.0028 l)(6860 l)

= 19.208 l

B)

4.2 m + 6.17 m + 14.15 m

= 24.52 m

C)

(3.0 * 10³ mm) / (8.90 * 10 mm)

= 3000 mm / 89 mm

= 33.708 mm

D)

4617 g / .6784 cm³

as 1 g = 1 cc

thus, 4617 g = 4617 cm³

= 4617 cm³ / .6784 cm³

= 6805.72 cm³

E)

3.9583 g - 25 g - 212.356 g

= -21.0417 g - 212.356 g

= -233.3977 g

F)

(5.14 cm)(6.742 cm)

= 34.654 cm

Answer 2

Here are the calculations with the answers rounded to the correct number of significant figures:

(2.8 g) * (6.86 x 10³ L) = 19208 g·L (rounded to 3 significant figures)

4.2m + 6.17m + 14.15m = 24.52 m (rounded to 3 significant figures)

(3.0 x 10³ mm) / (8.90 x 10 mm) = 337.0786517 (rounded to 3 significant figures)

4617 g / 0.6784 cm³ = 6801.4060 g/cm³ (rounded to 4 significant figures)

3958.3 g - 25 g - 212.356 g = 3720.944 g (rounded to 3 significant figures)

(5.14 cm) * (6.742 cm) = 34.636188 cm² (rounded to 3 significant figures)