Question
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Calculate the following and round your answer to the appropriate number of significant figures. \( 4.449+1.20 \)

Ask by Hampton Cole. in the United States
Mar 10,2025

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Tutor-Verified Answer

Answer

The sum is 5.65.

Solution

1. Write the problem: \[ 4.449 + 1.20 \] 2. When adding numbers, the result must be rounded to the least precise decimal place. Here, \(1.20\) has 2 decimal places, whereas \(4.449\) has 3 decimal places. 3. Add the numbers: \[ 4.449 + 1.20 = 5.649 \] 4. Round the sum to 2 decimal places: \[ 5.649 \approx 5.65 \] Therefore, the final answer is: \[ \boxed{5.65} \]

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The Deep Dive

When you add \( 4.449 \) and \( 1.20 \), you first perform the calculation: \( 4.449 + 1.20 = 5.649 \). However, you need to round your answer based on the significant figures in the numbers being added. The number \( 1.20 \) has three significant figures, and its last digit is in the hundredths place. Therefore, your final answer should be rounded to the hundredths place, resulting in \( 5.65 \).

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