Murphy Estrada
10/07/2023 · Junior High School
\( \left. \begin{array} { l }{ 5 \times 397 = 5 \times ( 400 - \ldots ) } \\ { = ( 5 \times \ldots , ( 5 \times \_ ) } \\ { = \square } \\ { = } \end{array} \right. \)
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Tutor-Verified Answer
Step-by-step Solution
To solve \( 5 \times 397 \) using the expression \( 5 \times (400 - \ldots) \), we can rewrite \( 397 \) as \( 400 - 3 \).
So, we have:
\[
5 \times 397 = 5 \times (400 - 3)
\]
Using the distributive property, we can expand this:
\[
5 \times (400 - 3) = 5 \times 400 - 5 \times 3
\]
Now, we calculate each term:
1. \( 5 \times 400 = 2000 \)
2. \( 5 \times 3 = 15 \)
Now, we can substitute these values back into the equation:
\[
5 \times 397 = 2000 - 15
\]
Now, we perform the subtraction:
\[
2000 - 15 = 1985
\]
Thus, we have:
\[
5 \times 397 = 1985
\]
So, the final answer is:
\[
\boxed{1985}
\]
Quick Answer
\( 5 \times 397 = 1985 \)
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