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The problem asks to add \( 24_5 \) and \( 42_5 \) in base 5 using the provided addition table. Let's break down the steps and solve this.

### Step-by-Step Calculation:

#### Numbers:
- \( 24_5 \) means \( 2 \times 5 + 4 = 14_{10} \) in decimal.
- \( 42_5 \) means \( 4 \times 5 + 2 = 22_{10} \) in decimal.

We are not converting the numbers to decimal for addition but directly adding in base 5 using the table.

#### First, let's add the ones place:
- In \( 24_5 \), the ones place is \( 4 \), and in \( 42_5 \), the ones place is \( 2 \).
- According to the table, \( 4 + 2 = 10_5 \). So, we place a 0 in the ones place and carry 1 to the next column.

#### Now, let's add the digits in the next column (tens place) along with the carry:
- In \( 24_5 \), the tens place is \( 2 \), and in \( 42_5 \), the tens place is \( 4 \), plus the carry of 1.
- According to the table, \( 2 + 4 = 11_5 \). Adding the carry gives \( 11_5 + 1 = 12_5 \).

### Final Answer:
The result is \( 120_5 \). However, the question asks for the answer without the suffix, so the answer is:

\[
\boxed{120}
\]

Would you like more details or have any other questions?

Here are 5 related questions to expand on this topic:
1. How do you convert numbers between base-5 and decimal?
2. What is the process for subtracting numbers in base 5 using a table?
3. How do you multiply base-5 numbers?
4. Can you explain how to perform division in base 5?
5. How would the process change if the numbers were in base 6?

**Tip**: When adding in any base, always remember to handle carryovers correctly, just like in decimal arithmetic, but the base determines when the carry occurs!

Use the addition table for base 5 to add: 24₅ + 42₅. Give your answer without the suffix.

Learn how to add numbers in base 5 with this detailed example: 24₅ + 42₅. This step-by-step guide demonstrates the use of an addition table and carry-over rules. Suitable for students in Grades 5-8 studying non-decimal number systems.

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