2. What is the value of the underlined digit? $$ 88.219 $$

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UpStudy AI · Accepted Answer

To determine the value of the underlined digit in the number $$ 88.219 $$, we need to know which specific digit is underlined. However, I'll assume that one of the digits is underlined and explain how to find its value based on its position.

Let's break down the number $$ 88.219 $$ by each digit's place value:

$$
\begin{align*}
88.219 &= 8 \times 10^1 + 8 \times 10^0 + 2 \times 10^{-1} + 1 \times 10^{-2} + 9 \times 10^{-3} \
&= 80 + 8 + 0.2 + 0.01 + 0.009
\end{align*}
$$

Here's the place value of each digit:

1. **First 8 (in the tens place):** $$ 8 \times 10 = 80 $$
2. **Second 8 (in the ones place):** $$ 8 \times 1 = 8 $$
3. **2 (in the tenths place):** $$ 2 \times 0.1 = 0.2 $$
4. **1 (in the hundredths place):** $$ 1 \times 0.01 = 0.01 $$
5. **9 (in the thousandths place):** $$ 9 \times 0.001 = 0.009 $$

**Example Scenarios:**

- **If the first 8 (tens place) is underlined:**  
  **Value:** $$ 80 $$

- **If the second 8 (ones place) is underlined:**  
  **Value:** $$ 8 $$

- **If the 2 (tenths place) is underlined:**  
  **Value:** $$ 0.2 $$

- **If the 1 (hundredths place) is underlined:**  
  **Value:** $$ 0.01 $$

- **If the 9 (thousandths place) is underlined:**  
  **Value:** $$ 0.009 $$

**Conclusion:**

To find the value of the underlined digit in $$ 88.219 $$, identify its position (tenths, hundredths, etc.) and multiply it by its corresponding place value:

- **Tenths place:** Multiply by $$ 0.1 $$
- **Hundredths place:** Multiply by $$ 0.01 $$
- **Thousandths place:** Multiply by $$ 0.001 $$
- **Ones place:** Multiply by $$ 1 $$
- **Tens place:** Multiply by $$ 10 $$

If you specify which digit is underlined, I can provide a more precise answer!
The value of the underlined digit in $$ 88.219 $$ depends on which digit is underlined. For example, if the first 8 (tens place) is underlined, its value is 80. If the second 8 (ones place) is underlined, its value is 8. If the 2 (tenths place) is underlined, its value is 0.2, and so on.

2. What is the value of the underlined digit? \[ 88.219 \]

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