QuestionAugust 25, 2025

Multiply using a calculator, then express your answer in proper sig figs: 3.14159times 2.32=

Multiply using a calculator, then express your answer in proper sig figs: 3.14159times 2.32=
Multiply using a calculator, then express your answer in proper sig figs:
3.14159times 2.32=

Solution
4.6(174 votes)

Answer

7.29 Explanation 1. Perform the Multiplication Multiply the numbers 3.14159 and 2.32 using a calculator to get the raw result. \[ 3.14159 \times 2.32 = 7.2904888 \] 2. Determine Significant Figures Identify the number of significant figures in each factor. The number 3.14159 has 6 significant figures, while 2.32 has 3 significant figures. 3. Apply Significant Figures Rule The result should be expressed with the same number of significant figures as the factor with the least number of significant figures, which is 3 in this case. 4. Round the Result Round the calculated result 7.2904888 to 3 significant figures. \[ 7.29 \]

Explanation

1. Perform the Multiplication<br /> Multiply the numbers $3.14159$ and $2.32$ using a calculator to get the raw result.<br />\[<br />3.14159 \times 2.32 = 7.2904888<br />\]<br /><br />2. Determine Significant Figures<br /> Identify the number of significant figures in each factor. The number $3.14159$ has 6 significant figures, while $2.32$ has 3 significant figures.<br /><br />3. Apply Significant Figures Rule<br /> The result should be expressed with the same number of significant figures as the factor with the least number of significant figures, which is 3 in this case.<br /><br />4. Round the Result<br /> Round the calculated result $7.2904888$ to 3 significant figures.<br />\[<br />7.29<br />\]
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