Decimal Fractions' Meaning: Decomposition of the decimal structure

To solve this problem, we follow these steps:

• Identify the number and its position from the given chart.
• In the 'ones' place, there is a '3'.
• In the 'tenths' place, we also have a '3'.
• Combine these digits respecting their place values to form a decimal.

Now, assembling this using place values:
- The '3' in the 'ones' place contributes a value of $3$.
- The '3' in the 'tenths' place contributes a value of $0.3$.

To create the complete number, add these place values:

$3 + 0.3 = 3.3$

Therefore, the solution to the problem, written as a decimal, is $3.3$.

To solve this problem, let's identify each digit's position in the given chart:

• The columns of the chart correspond to the place values of the number, listed as thousands (1000), hundreds (100), tens (10), ones (1), tenths (0.1), and hundredths (0.01).

• According to the chart, the digits are organized as follows:

  • In the hundreds column (100): the digit is $4$.

  • In the tens column (10): the digit is $5$.

  • In the ones column (1): the digit is $1$.

  • In the tenths column (0.1): no digit or zero is in this column, which means $0$.

  • In the hundredths column (0.01): the digit is $2$.

• Thus, arranging these digits in their respective place values, the number is $451.02$.

Therefore, the number represented as a decimal is $451.02$.

To solve the problem, we must correctly interpret the chart and combine the digits into a complete decimal number based on their place values:

• The number in the thousands place is 3, so it represents $3 \times 1000 = 3000$.
• There are no numbers explicitly shown in the hundreds, tens, and ones places, which are assumed as zeros, hence their contribution is zero.
• The digit after the decimal has a five in the hundredths place. Therefore, it represents $5 \times 0.01 = 0.05$.

To obtain the final number, we sum the contributions of each place value:

• The overall contribution from the thousands place is 3000.
• The decimal portion contributed by the hundredths place is 0.05.

Adding these up gives:

$3000 + 0.05 = 3000.05$

Thus, the number represented by the chart in decimal form is $\textbf{3000.05}$.

To correctly solve the problem, we will break down the number 106.8 according to its decimal place values.

• The number 1 is in the hundreds place, representing 100.
• The number 0 is in the tens place, representing 0.
• The number 6 is in the ones place, representing 6.
• The number 8 is in the tenths place, representing 0.8.

Given this breakdown, we look to match the digits on the place value chart

In the correct chart:

• The chart will have a '1' under the '100' column, indicating one hundred.
• The chart will have a '0' under the '10' column, indicating no tens.
• The chart will have a '6' under the '1' column, indicating six ones.
• The chart will have an '8' under the '0.1' column, showing eight-tenths.

Upon analyzing the available choices, the correct decimal place value chart that represents the number 106.8 is:

The choice with 1 under '100', 0 under '10', 6 under '1', and 8 under '0.1' correctly represents the number 106.8 as a decimal. According to the given choices, this is Choice 2.

To solve the problem of identifying which chart corresponds to the number $850.07$, we need to break down the number into its place values:

• The digit $8$ is placed in the hundreds column, representing $800$.
• The digit $5$ is in the tens column, representing $50$.
• The digit $0$ is in the ones column, contributing $0$ to the total.
• To the right of the decimal point, the digit $0$ is in the tenths place, contributing $0.0$.
• The digit $7$ is in the hundredths position, contributing $0.07$.

Thus, the number $850.07$ is represented correctly the following way in place value:

• Hundreds: $8$
• Tens: $5$
• Units: $0$
• Decimal part: Hundredths $7$

From the given choices of place value charts, the correct chart will display the following configuration:

• The '100' column showing $8$
• The '10' column showing $5$
• The '1' column showing $0$
• The '0.01' column showing $7$

Upon comparing all available options, the correct chart is Option 2.

Therefore, the correct decimal place value chart that represents the number $850.07$ is: Option 2.

The task is to decompose 300.6 into its constituent parts based on its decimal structure.

The number 300.6 consists of:

• 300, which is the whole number (integer) part.
• 0.6, which is the fractional (decimal) part.

To decompose 300.6 correctly, we must express it as the sum of these two components:

$300.6 = 300 + 0.6$

Now, let's evaluate the provided answer choices:

• Choice 1: $300 + 0.6$ - This correctly represents the decomposition.
• Choice 2: $300 + 6$ - This incorrectly assumes 0.6 is just 6.
• Choice 3: $30 + 306$ - This misrepresents both the integer and the decimal parts.
• Choice 4: $30 + 0.6$ - This only partially decomposes the integer incorrectly.

Therefore, the correct decomposition of 300.6 is choice 1: $300 + 0.6$.

To solve this problem, we will decompose the number 57.5 by identifying the place value of each digit:

• First, note that the '5' in 57.5 is in the tens place, representing $5 \times 10 = 50$.
• The '7' is in the ones place, contributing $7 \times 1 = 7$.
• The '.5' is in the tenths place, which corresponds to $0.5$.

By adding these components together, we have:

$50 + 7 + 0.5$.

Thus, the decomposition of 57.5 is $50+7+0.5$.