Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $2,941.$

Then, we write down the place value chart for $197.$

Now, we move from the tens place to the hundreds place.

thousands	hundreds	tens	ones
	$\color{blue} 9$	$\color{red}9$

Therefore, the value of the digit $9$ in the hundreds place is $\mathbf{10}$ times larger than the value of the digit $9$ in the tens place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place values for $659.$

We need to find a number in which the digit $\color{blue}5$ has a value that is $10$ times larger than that of tens. So, we move $1$ step left in the place value chart:

hundreds	tens	ones
$\color{blue} 5$	$\color{red} 5$

Among the given options, only $\bbox[2px,lightgray]{\color{blue}5}82$ has the digit $5$ in the hundreds place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $731.$

Then, we write down the place value chart for $527.$

Now, we move from the ones place to the hundreds place.

hundreds	tens	ones
$\color{blue}7$		$\color{red}7$

Since we move two spaces to the left, the value of the digit $7$ in the hundreds place is $10\times 10 = \mathbf{100}$ times larger than the value of the digit $7$ in the ones place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $8,162.$

We need to find a number in which the digit $\color{blue}6$ has a value that is $100$ times larger than that of tens.

Notice that,

$$100 = \underbrace{10 \times 10}_{\color{black}2\,\text{steps}}.$$

Therefore, we move $2$ steps left in the place value chart:

thousands	hundreds	tens	ones
$\color{blue}6$		$\color{red}6$

Among the given options, only $\bbox[2px,lightgray]{\color{blue}6},423$ has the digit $6$ in the thousands place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $6,137.$

Then, we write the place value chart for $3,596.$

Now, we move from the ones place to the thousands place.

thousands	hundreds	tens	ones
$\color{blue}6$			$\color{red}6$

We see that the value of the digit $6$ in the thousands place is

$$\underbrace{10\times10\times 10}_{\color{black}3\,\text{steps}}=1,000$$

times greater than the value of the digit $6$ in the ones place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $345,738.$

Then, we write the place value chart for $2,743.$

Now, we move from the tens place to the ten-thousands place.

hundred-thousands	ten-thousands	thousands	hundreds	tens	ones
	$\color{blue}4$			$\color{red}4$

We see that the value of the digit $4$ in the ten-thousands place is

$$\underbrace{10\times10\times10}_{\color{black}3\,\text{steps}}=1,000$$

times greater than the value of the digit $4$ in the tens place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's start by writing down the place value chart for $813,906.$

We need to find a number in which the digit $\color{blue}9$ has a value that is $1,000$ times larger than that of hundreds.

Notice that,

$$1,000 = \underbrace{10 \times 10\times 10}_{\color{black}3\,\text{steps}}.$$

Therefore, we move $3$ steps left in the place value chart:

hundred-thousands	ten-thousands	thousands	hundreds	tens	ones
$\color{blue}9$			$\color{red}9$

Among the given options, only $\bbox[2px,lightgray]{\color{blue}9}67,421$ has the digit $9$ in the hundred-thousands place.

Whenever you move a digit one space to the left in a place value chart, the value of the digit becomes ten times larger.

Let's write down the place value chart for $2,146,705.$

Then, we write down the place value chart for $92,165.$

Now, we move from the thousands place to the millions place .

millions	hundred-thousands	ten-thousands	thousands	hundreds	tens	ones
$\color{blue}2$			$\color{red} 2$

We see that the value of the digit $2$ in the millions place is

$$\underbrace{10 \times 10\times 10}_{\color{black}3\,\text{steps}} = \mathbf{1,000}$$

times larger than the value of the digit $2$ in the thousands place.