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The problem is asking how many times the value of the digit 5 in 12.56 is compared to the value of the digit 5 in 152.8.

### Step-by-Step Breakdown:

1. **Value of 5 in 12.56**:
   - In 12.56, the 5 is in the tenths place.
   - The value of the 5 is \( 5 \times \frac{1}{10} = 0.5 \).

2. **Value of 5 in 152.8**:
   - In 152.8, the 5 is in the tens place.
   - The value of the 5 is \( 5 \times 10 = 50 \).

3. **How many times larger?**:
   - To find how many times larger the value of 5 in 12.56 is compared to the value of 5 in 152.8, divide the two values:
   \[
   \frac{0.5}{50} = \frac{1}{100}.
   \]

Thus, the value of the 5 in 12.56 is **\(\frac{1}{100}\)** of the value of the 5 in 152.8.

Would you like more details or have any questions? Here are some related questions to expand on this topic:

1. What is the place value of each digit in a decimal number?
2. How do we compare values of the same digit in different positions?
3. Can we apply the same process to compare other digits in different numbers?
4. How does the position of a digit affect its value?
5. What happens if the 5 in 12.56 were in the hundredths place instead?

**Tip:** Understanding place value is key to comparing the significance of digits in different numbers, especially in decimals.

The value of the 5 in 12.56 is how many times the value of the 5 in 152.8?

Learn how to compare the value of the digit 5 in 12.56 to the value of 5 in 152.8. This problem explains place value concepts and shows step-by-step calculations for determining how many times one value is smaller than the other. Suitable for Grades 4-6.

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