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) 

   (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) 

   (f) 140 + 7.68 + 0.014

   (g) 28.7 – 0.0483

   (h)