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Solve the following equations using the correct number of significant figures.

a. \( 34.683 + 58.930 + 68.35112 \)

b. \( 45001 - 56.355 - 78.44 \)

c. \( 98.1 \times 0.03 \)

d. \( \frac{6.90}{2.8952} \)

Answer :

Final answer:

To solve the equations using the correct number of significant figures: a) 34.683 + 58.930 + 68.351 = 161.964, b) 45001 - 56.355 - 78.44 = 44,866.205, c) 98.1 x 0.03 = 2.9, d) 6.90 / 2.8952 = 2.38.

Explanation:

a. To solve the equation 34.683 + 58.930 + 68.351, we add the numbers together and round the answer to the least number of decimal places in the given numbers. In this case, all the numbers have three decimal places, so the answer should have three decimal places as well. Therefore, the answer is 161.964.

b. To solve the equation 45001 - 56.355 - 78.44, we subtract the numbers from left to right and round the answer to the least number of decimal places in the given numbers. In this case, all the numbers have three decimal places, so the answer should have three decimal places as well. Therefore, the answer is 44,866.205.

c. To solve the equation 98.1 x 0.03, we multiply the numbers together and round the answer to the least number of significant figures in the given numbers. In this case, 98.1 has three significant figures and 0.03 has two significant figures, so the answer should have two significant figures. Therefore, the answer is 2.9.

d. To solve the equation 6.90 / 2.8952, we divide the numbers and round the answer to the least number of decimal places in the given numbers. In this case, 6.90 has two decimal places and 2.8952 has four decimal places, so the answer should have two decimal places as well. Therefore, the answer is 2.38.

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