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Carry out the following calculations, express each answer to the correct number of significant figures, and include units in the answers:

A. \(123.1 \, \text{ml} + 24 \, \text{ml} = 147 \, \text{ml}\) (to 3 significant figures)

B. \(123.1 \, \text{ml} \times 24 \, \text{ml} = 2950 \, \text{ml}^2\) (to 3 significant figures)

C. \(123.1 \, \text{ml} - 24 \, \text{ml} = 99.1 \, \text{ml}\) (to 3 significant figures)

D. \(123.1 \, \text{ml} \div 24 \, \text{ml} = 5.13\) (to 3 significant figures)

Answer :

Final answer:

The calculations with the correct number of significant figures are: A. 123.1 ml + 24 ml = 147.1 ml, B. 123.1 ml × 24 ml = 2950 ml², C. 123.1 ml - 24 ml = 99.1 ml and D. 123.1 ml ÷ 24 ml = 5.13.

Explanation:

To carry out the following calculations, we must apply the rules of addition, subtraction, multiplication, and division with consideration for correct number of significant figures:

  • A. 123.1 ml + 24 ml = 147.1 ml (to 4 significant figures)
  • B. 123.1 ml × 24 ml = 2954 ml² (Note that the product of two measurements should retain as many significant figures as in the as the factor with the least number of significant figures. Hence, the result to 3 significant figures is 2950 ml²)
  • C. 123.1 ml - 24 ml = 99.1 ml (to 3 significant figures)
  • D. 123.1 ml ÷ 24 ml = 5.13 (Note that the quotient should retain as many decimal places as in the measurement with the least number of decimal places)

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