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6. \( \begin{array}{r}23.82 \\ \times \quad 5 \\ \hline\end{array} \)

Ask by Garrett Harmon. in the United States
Jan 23,2025

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Answer

\( 23.82 \times 5 = 119.10 \)

Solution

To calculate \( 23.82 \times 5 \), you can follow these steps: \[ \begin{array}{r} \phantom{0}23.82 \\ \times \quad 5 \\ \hline \end{array} \] 1. **Multiply the whole number part:** \[ 23 \times 5 = 115 \] 2. **Multiply the decimal part:** \[ 0.82 \times 5 = 4.10 \] 3. **Add both results together:** \[ 115 + 4.10 = 119.10 \] **Final Answer:** \[ 23.82 \times 5 = 119.10 \]

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The Deep Dive

To solve \( 23.82 \times 5 \), you can break it down into a more manageable format. First, multiply 23.82 by 5 directly: \( 23.82 \times 5 = 119.1. \) Remember to keep track of decimal places as you go. Since there are two digits after the decimal in 23.82, your final answer will also carry that decimal, leading to a result of 119.1. Another fun way to visualize this multiplication is to think of it in parts: \( 23 \times 5 = 115 \) and \( 0.82 \times 5 = 4.1 \). When you add both results together, \( 115 + 4.1 = 119.1 \). Voilà!

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