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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

Short Answer

Expert verified
  1. 2
  2. infinite
  3. 1
  4. 2
  5. 3
  6. 3
  7. 1
  8. 4

Step by step solution

01

Rules for finding significant figures

We determine the number of significant figures with the help of the following rules:

  • All non-zero digits are significant.
  • Zeros present in between non-zero digits are significant.
  • Zeros which come after the decimal point are significant(trailing zeros).
  • Zeros which come before the decimal and any non-zero number are insignificant (leading zeros) since they are only used to depict the place of the decimal.
  • Exact numbers have an infinite number of significant digits.
02

Determine number of significant figures

a) 0.0055 g active ingredients: The three zeroes are leading and hence insignificant, thus total number of significant figures = 2

b) 12 tablets: The number of significant figures in exact numbers is always infinite.

c) 3% hydrogen peroxide: The number of significant figures is 1.

d) 5.5 ounces: The number of significant figures is 2, since both digits are non-zero.

e) 473 mL: The number of significant figures is 3.

f) 1.75% bismuth: The number of significant figures is 3, they are non-zero digits.

g) 0.001% phosphoric acid: The number of significant figures is 1, since the zeroes are leading zeros.

h) 99.80% inert ingredients: The number of significant figures is 3, since we have a trailing zero which is significant.

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