Answer :
Final Answer:
a) 98.1 * 0.03 ≈ 2.9
b) 57 * 7.368 = 420
c) 8.578 / 4.33821 ≈ 1.978
d) 6.90 / 2.8952 ≈ 2.38
These are the main answers, rounded to the appropriate number of significant figures.
Explanation:
To solve these equations using the correct number of significant figures, you'll need to follow the rules for significant figures in mathematical operations. Here are the solutions for each equation with the appropriate number of significant figures:
a) 98.1 * 0.03:
Multiplying 98.1 by 0.03 gives you 2.943. The number 0.03 has two significant figures, so your answer should have the same number of significant figures. Therefore, the answer is 2.9 (rounded to one decimal place).
b) 57 * 7.368:
Multiplying 57 by 7.368 results in 418.776. The number 57 has two significant figures, and 7.368 has four significant figures. To maintain the least number of significant figures in the calculation, you should round your answer to two significant figures, which gives you 420.
c) 8.578 / 4.33821:
Dividing 8.578 by 4.33821 yields approximately 1.97809339. The number 8.578 has four significant figures, and 4.33821 has six significant figures. To maintain the least number of significant figures, round your answer to four significant figures, which gives you 1.978.
d) 6.90 / 2.8952:
Dividing 6.90 by 2.8952 results in approximately 2.38251012. The number 6.90 has three significant figures, and 2.8952 has five significant figures. To maintain the least number of significant figures, round your answer to three significant figures, which gives you 2.38.
In summary:
a) 98.1 * 0.03 ≈ 2.9
b) 57 * 7.368 = 420
c) 8.578 / 4.33821 ≈ 1.978
d) 6.90 / 2.8952 ≈ 2.38
These answers are rounded to the appropriate number of significant figures based on the given numbers in each calculation, following the rules of significant figures.
Learn more about Significant Figures
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