Alright, let's tackle this step-by-step.
### Problem 3: Complete the Table
We need to fill in the columns for "10 times as much as" and "[tex]$\frac{1}{10}$[/tex] of" for the numbers 70, 200, and 90,000.
1. Number: 70
- 10 times as much as 70: [tex]\( 70 \times 10 = 700 \)[/tex]
- [tex]$\frac{1}{10}$[/tex] of 70: [tex]\( \frac{70}{10} = 7.0 \)[/tex]
2. Number: 200
- 10 times as much as 200: [tex]\( 200 \times 10 = 2000 \)[/tex]
- [tex]$\frac{1}{10}$[/tex] of 200: [tex]\( \frac{200}{10} = 20.0 \)[/tex]
3. Number: 90,000
- 10 times as much as 90,000: [tex]\( 90,000 \times 10 = 900,000 \)[/tex]
- [tex]$\frac{1}{10}$[/tex] of 90,000: [tex]\( \frac{90,000}{10} = 9000.0 \)[/tex]
So, the completed table looks like this:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline
Number & \begin{tabular}{l} 10 times as \\ much as \end{tabular} & $\frac{1}{10}$ of \\
\hline
70 & 700 & 7.0 \\
\hline
200 & 2000 & 20.0 \\
\hline
90,000 & 900,000 & 9000.0 \\
\hline
\end{tabular}
\][/tex]
### Problem 4: Write the Place Value of the Digit 3
Let's consider a number where the digit '3' is present. For this context, let's work with the number 123,456. We need to identify the place value of the digit '3' in this number.
The digit '3' in 123,456 is in the hundreds place. Therefore, the place value of '3' is the hundreds position, which denotes [tex]\(3 \times 100\)[/tex].
So when asked to write the place value of the digit '3', the answer is:
[tex]\[
3: \text{Hundreds place} \\
\][/tex]
This detailed breakdown answers both parts of your question comprehensively.
