https://file.aiquickdraw.com/mathbot/file/1727223186608dxhaxcmz.jpg

The problem in the image involves subtracting numbers in base 5. The given numbers are \( 40_5 \) and \( 21_5 \), and the difference is stated as \( 19_5 \).

Let's break down the steps to solve this:

### Step-by-Step Subtraction (in base 5):
1. **Write the numbers in decimal form**:
   - \( 40_5 \) is interpreted as \( 4 \times 5 + 0 = 20 \) in base 10.
   - \( 21_5 \) is interpreted as \( 2 \times 5 + 1 = 11 \) in base 10.

2. **Subtract the decimal values**:
   \[
   20 - 11 = 9
   \]

3. **Convert the result back to base 5**:
   - \( 9_{10} \) in base 5 is \( 1 \times 5 + 4 = 14_5 \).

However, the result in the image shows \( 19_5 \), which doesn't seem correct based on the actual subtraction in base 5.

It appears there is a mistake in the image's solution. The correct answer should be:

\[
14_5
\]

Let me know if you'd like more details or have any questions!

Here are 5 related questions:
1. How do you convert numbers between different bases?
2. What is the process of addition in base 5?
3. How do you perform subtraction in other bases like base 8 or base 16?
4. What are the key differences in performing arithmetic in base 5 compared to base 10?
5. How can you check your work when performing subtraction in non-decimal bases?

**Tip:** Always convert numbers to decimal first to check your work when performing arithmetic in other bases!

Subtract the given numbers in the indicated base. 40 (base 5) - 21 (base 5).

Learn how to subtract numbers in base 5 using step-by-step instructions. In this example, we subtract 40 (base 5) from 21 (base 5), convert the result to base 5, and understand how base-n arithmetic works. Suitable for students in Grades 5-7.

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