Analía Bellizzi – Chemistry Classes

Ronald Reagan Senior High School

# AS Significant Figures Exercises

Significant Figures Exercises

1. How many significant figures are contained in each of the following measurements?

(a) 38.7 g

(b) 2 × 1018 m

(c) 3,486,002 kg

(d) 9.74150 × 10−4 J

(e) 0.0613 cm3

(f) 17.0 kg

(g) 0.01400 g/mL

2. How many significant figures are contained in each of the following measurements?

(a) 53 cm

(b) 2.05 × 108 m

(c) 86,002 J

(d) 9.740 × 104 m/s

(e) 10.0613 m3

(f) 0.17 g/mL

(g) 0.88400 s

3. The following quantities were reported on the labels of commercial products. Determine the number of significant figures in each.

(a) 0.0055 g active ingredients

(b) 12 tablets

(c) 3% hydrogen peroxide

(d) 5.5 ounces

(e) 473 mL

(f) 1.75% bismuth

(g) 0.001% phosphoric acid

(h) 99.80% inert ingredients

4. Round off each of the following numbers to two significant figures:

(a) 0.436

(b) 9.000

(c) 27.2

(d) 135

(e) 1.497 × 10−3

(f) 0.445

5. Round off each of the following numbers to two significant figures:

(a) 517

(b) 86.3

(c) 6.382 × 103

(d) 5.0008

(e) 22.497

(f) 0.885

6. Perform the following calculations and report each answer with the correct number of significant figures.

(a) 628 × 342

(b) (5.63 × 102) × (7.4 × 103)

(c) $\frac{28.0}{13.483}$

(d) 8119 × 0.000023

(e) 14.98 + 27,340 + 84.7593

(f) 42.7 + 0.259

7. Perform the following calculations and report each answer with the correct number of significant figures.

(a) 62.8 × 34

(b) 0.147 + 0.0066 + 0.012

(c) 38 × 95 × 1.792

(d) 15 – 0.15 – 0.6155

(e) $8.78 \times (\frac{0.0500}{0.478})$

(f) 140 + 7.68 + 0.014

(g) 28.7 – 0.0483

(h) $\frac{(88.5-87.57)}{45.13}$