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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.

1. \( 123.1 \, \text{ml} + 24 \, \text{ml} \)
2. \( 123.1 \, \text{ml} \times 24 \, \text{ml} \)
3. \( 123.1 \, \text{ml} - 24 \, \text{ml} \)
4. \( 123.1 \, \text{ml} \div 24 \, \text{ml} \)

A. \( 147 \, \text{ml}, 2954.4 \, \text{ml}^2, 99.1 \, \text{ml}, 5.13 \, \text{ml} \)

B. \( 147.1 \, \text{ml}, 2954 \, \text{ml}^2, 99.1 \, \text{ml}, 5.125 \, \text{ml} \)

C. \( 147 \, \text{ml}, 2954 \, \text{ml}^2, 99 \, \text{ml}, 5.125 \, \text{ml} \)

D. \( 147.1 \, \text{ml}, 2954.4 \, \text{ml}^2, 99 \, \text{ml}, 5.13 \, \text{ml} \)

Answer :

Final answer:

Expressions to correct significant figures are 147.1 ml for addition, 2954.4 ml² for multiplication, 99.1 ml for subtraction, and 5.13 for division.

So, the correct answer would be (b) 147.1 ml, 2954.4 ml², 99.1 ml, 5.125.

Explanation:

The calculations, when expressed to the correct number of significant figures and including units, are as follows:

  1. 123.1 ml + 24 ml = 147.1 ml
  2. 123.1 ml × 24 ml = 2954.4 ml²
  3. 123.1 ml - 24 ml = 99.1 ml
  4. 123.1 ml ÷ 24 ml = 5.13 (This value has no units because divisions of similar units cancel each other out.)

So, the correct answer would be (b) 147.1 ml, 2954.4 ml², 99.1 ml, 5.125.

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