Decimal Fractions' Meaning: From numbers to words

To solve this problem, we'll follow these steps:

• Step 1: Understand decimal place values. Each position to the right of the decimal point represents a division by the next power of ten.
• Step 2: Analyze the given number 0.1. The digit '1' is immediately after the decimal point.
• Step 3: Determine the place value. The first digit to the right of the decimal point is in the "tenths" place.

Now, let's work through each step:
Step 1: In any decimal number, the digits to the right of the decimal point have place values based on negative powers of ten. The first position is the tenths (1/10), followed by hundredths (1/100), etc.
Step 2: In 0.1, the '1' is the first digit after the decimal point.
Step 3: As the '1' is in the first position after the decimal point, the place value of 0.1 is the "tenths".

Therefore, the place value of the digit in the number 0.1 is tenth.

To determine the place value of 0.3, we need to analyze the position of the digit in the decimal number. In the decimal system:

• The first position to the right of the decimal point is the "tenths" place.
• The digit '3' in 0.3 is in this tenths place.
• Thus, the place value of the digit 3 in 0.3 is three tenths.

Given these observations, we can conclude that the correct characterization of 0.3 is three tenths.

Therefore, the solution to the problem is Three tenths.

To solve this problem, it's important to understand the place value system in decimals. The number provided is $0.63$. We need to determine its place value, which involves expressing it in words rather than just numerals.

In a decimal number, the digits immediately after the decimal point represent fractions of 10. Specifically:

• The first digit to the right of the decimal point is the tenths place.
• The second digit is the hundredths place.

Breaking down the number $0.63$, we have:

• $0.6$ means 6 tenths, or $\frac{6}{10}$.
• $0.03$ means 3 hundredths, or $\frac{3}{100}$.

When combined, $0.63$ represents sixty-three hundredths. This can be thought of as: $\frac{63}{100}$, which is expressed as "sixty-three hundredths" in words.

Hence, the place value of 0.63, when expressed in words, is sixty-three hundredths.

To determine the place value of the digit '7' in the decimal number 0.7, we'll follow these steps:

• Step 1: Understand the decimal system where each position represents a fraction with a denominator that is a power of 10.
• Step 2: Identify the position of the digit '7' in 0.7.
• Step 3: Convert the decimal form to a fractional form to indicate its place value.

Now, let's work through each step:

Step 1: In the decimal system, each digit has a place value. The place value of the first digit to the right of the decimal point is in the tenths place.
Step 2: The digit '7' in the number 0.7 is in the first place to the right of the decimal point, which corresponds to the tenths place.
Step 3: The decimal 0.7 can be expressed as a fraction: $\frac{7}{10}$. This indicates that the '7' represents seven tenths.

Therefore, the place value of 0.7 is seven tenths.

To determine the place value of the digits in the decimal number 5.1, follow these steps:

• Step 1: Identify the digit to the left of the decimal point. In 5.1, it is the digit '5', which is in the 'ones' place. This means it represents five ones or simply $5$.
• Step 2: Identify the digit to the right of the decimal point. In 5.1, it is the digit '1', which is in the 'tenths' place. This means it represents one-tenth or $\frac{1}{10}$.
• Step 3: Combine these interpretations to express the number in words.

The number 5.1 can be written as "five ones and one tenth".

Therefore, the place value interpretation for 5.1 is "five ones and one tenth".

To solve this problem, we need to analyze the decimal number $7.02$ and determine the place values of its digits:

• First, observe the digit before the decimal point, which is $7$. This digit is in the 'ones' place, representing seven units or ones.
• After the decimal point, the digit $0$ is in the tenths place, which contributes zero tenths to the number.
• The next digit, $2$, is in the hundredths place. Therefore, it represents two hundredths.

By breaking down the number $7.02$, we can express it as:

• Seven ones
• Zero tenths
• Two hundredths

Thus, correctly identifying the place values gives us: seven ones and two hundredths.

Therefore, the correct answer is: Seven ones and two hundredths.

To tackle this problem, we need to focus on the concept of decimal place values and how they translate into verbal expressions. Let's detail the steps involved:

• Step 1: Identify the given number.
  The decimal number provided is $0.364$.
• Step 2: Understand the place value of each digit.
  - The digit $3$ is in the tenths position.
  - The digit $6$ is in the hundredths position.
  - The digit $4$ is in the thousandths position.
• Step 3: Convert the decimal number into a verbal expression.
  Given the position of the digits, $0.364$ can be represented as three hundred and sixty-four thousandths, which accurately expresses the entire number in terms of its decimal place values.

After taking these steps, we conclude that the decimal 0.364 in words should be represented as "three hundred and sixty-four thousandths."

Therefore, the correct answer to this problem is three hundred and sixty-four thousandths.

To solve this problem, we'll follow these steps:

• Step 1: Identify the place value of each digit in the number 6.005.
• Step 2: Associate each digit with its corresponding place value.
• Step 3: Match our findings with the provided answer choices.

Let's work through each step:

Step 1: The number 6.005 can be broken down as follows:
- The digit 6 is in the ones place.
- The digit 0 is in the tenths place.
- The digit 0 is in the hundredths place.
- The digit 5 is in the thousandths place.

Step 2: Converting our understanding to words, the number reads as "six ones and five thousandths."

Step 3: Comparing to answer choices, the correct description of the place values of 6.005 is "six ones and five thousandths." This matches choice 1.

Therefore, the solution to the problem is six ones and five thousandths.

To solve this problem, we need to determine the place value of the decimal number $0.01$.

Decimal numbers have a structure such that the first digit to the right of the decimal point is in the "tenths" place, the next digit is in the "hundredths" place, followed by the "thousandths" place, and so forth.

Given the number $0.01$, we observe the following:

• The digit $0$ is in the tenths place.
• The digit $1$ appears in the hundredths place since it is the second digit to the right of the decimal point.

Therefore, the place value of $0.01$ is the hundredths place. According to our options, the correct place value is Hundredth.

The correct choice from the provided options is choice 3: Hundredth.