To solve \([69 \cdot 13] \mod 4\):

1. First, calculate \( 69 \cdot 13 \):

\[
69 \cdot 13 = 897
\]

2. Now, find \( 897 \mod 4 \). To do this, divide 897 by 4 and take the remainder:

\[
897 \div 4 = 224 \text{ remainder } 1
\]

Thus, \( 897 \mod 4 = 1 \).

The result is:

\[
[69 \cdot 13] \mod 4 = 1
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What is \( [85 \cdot 23] \mod 7 \)?
2. Find \( [120 \cdot 15] \mod 6 \).
3. Simplify \( [45 \cdot 33] \mod 5 \).
4. Calculate \( [250 \cdot 19] \mod 9 \).
5. Determine \( [39 \cdot 72] \mod 8 \).

**Tip:** When calculating large modular products, it's often easier to reduce each number modulo first before multiplying.

Learn how to solve the modular arithmetic problem [69 · 13] mod 4 with a step-by-step breakdown. This solution covers key concepts of multiplication and modular arithmetic, using properties of modulo operations. Suitable for students in Grades 6-8.

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