Examples with solutions for Decimal Fractions' Meaning: Word writing below 1

Exercise #1

Rewrite the following decimal in words:

0.6

Step-by-Step Solution

To convert the decimal 0.60.6 into words, we first express it as a fraction or division structure.

The decimal 0.60.6 is equivalent to the fraction 610\frac{6}{10} because the first digit after the decimal point represents the tenths position.

In mathematical division terms, this is expressed as "6 divided by 10."

Considering the provided answer choices, the correct representation of the number 0.60.6 in words based on its equivalent fraction is:

6 divided by 10

Answer

6 divided by 10

Exercise #2

Rewrite the following decimal in words:

0.65

Step-by-Step Solution

To solve this problem, we need to express the decimal 0.65 in fractional terms, recognizing the meaning of its place value.

The decimal 0.65 can be interpreted as 65100 \frac{65}{100} because:

  • The digit 6 is in the tenths position, which represents 6×110=60100 6 \times \frac{1}{10} = \frac{60}{100} .
  • The digit 5 is in the hundredths position, which represents 5×1100=5100 5 \times \frac{1}{100} = \frac{5}{100} .

Adding these two values together, we have 60100+5100=65100 \frac{60}{100} + \frac{5}{100} = \frac{65}{100} .

Therefore, the decimal 0.65 can be expressed in fractional terms as "65 divided by 100".

The correct answer is therefore: 65100 \frac{65}{100} .

Answer

65 divided by 100

Exercise #3

Rewrite the following decimal in words:

0.77

Step-by-Step Solution

To convert the decimal 0.770.77 into words, we will first examine the place value of each digit. The number 0.770.77 has two digits after the decimal point:

  • The first digit after the decimal is 77, which is in the tenths place.
  • The second digit is another 77, which is in the hundredths place.

This means that the decimal 0.770.77 can be expressed as a fraction. Since the last digit is in the hundredths place, we write the fraction as 77100\frac{77}{100}.

To express this in words, we simply read the fraction by its numerator and denominator: "77 divided by 100."

Therefore, the decimal 0.770.77 is correctly represented in words as "77 divided by 100."

Answer

77 divided by 100

Exercise #4

Rewrite the following decimal in words:

0.08

Step-by-Step Solution

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

  • Step 1: Determine the place value of the decimal number.
  • Step 2: Convert the decimal into a fraction based on its place value.
  • Step 3: Express the fraction in words.

Now, let's work through each step:
Step 1: The decimal 0.080.08 has '8' in the second position to the right of the decimal point, which identifies the hundredths place.
Step 2: Based on this place value, we convert 0.080.08 to the fraction 8100\frac{8}{100} because the digit 8 represents 8 parts out of 100.
Step 3: The fraction 8100\frac{8}{100} can be expressed in words as "8 divided by 100".

Therefore, the solution to the problem is "8 divided by 100".

Answer

8 divided by 100

Exercise #5

Rewrite the following decimal in words:

0.80

Step-by-Step Solution

To solve this problem, we need to express the decimal 0.800.80 as a fraction and write it in words.

  • Step 1: Understand the decimal
    The decimal 0.800.80 means 80 out of 100. This is because the first digit after the decimal represents tenths and the second digit represents hundredths.
  • Step 2: Convert to a fraction
    The decimal 0.800.80 can be expressed as the fraction 80100\frac{80}{100}.
  • Step 3: Write the fraction in words
    The fraction 80100\frac{80}{100} is spoken as "eighty divided by one hundred" or simply "eighty hundredths."

Therefore, the decimal 0.800.80 rewritten in words as a fraction is expressed as 80 divided by 100.

Answer

80 divided by 100

Exercise #6

Rewrite the following decimal in words:

0.561

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the number of decimal places in 0.5610.561, which is three.
  • Step 2: Express the decimal as a fraction. Since there are three decimal places, 0.5610.561 corresponds to 5611000\frac{561}{1000}.
  • Step 3: Write the fraction in words. The fraction 5611000\frac{561}{1000} is expressed as "561 divided by 1000".

Therefore, the decimal 0.5610.561 in words is "561 divided by 1000".

Answer

561 divided by 1000

Exercise #7

Rewrite the following decimal in words:

0.700

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Understand the decimal 0.7000.700.
  • Step 2: Convert the decimal into a fraction based on place value.
  • Step 3: Simplify the fraction to match it with the choices provided.

Now, let's work through these steps:
Step 1: The decimal 0.7000.700 consists of three digits, 700700 after the decimal point, which are in the tenths, hundredths, and thousandths places.
Step 2: This can be initially expressed as the fraction 7001000\frac{700}{1000}.
Step 3: Simplifying the fraction 7001000\frac{700}{1000} by dividing both the numerator and the denominator by 100 yields 710\frac{7}{10}.

This matches with the choice 3, which is "7 divided by 10".

Therefore, the correct solution is 77 divided by 1010.

Answer

7 divided by 10

Exercise #8

Rewrite the following decimal in words:

0.81

Step-by-Step Solution

To convert the decimal 0.810.81 to its fractional form, follow these steps:

  • Step 1: Understand the position of each digit. In 0.810.81, the digit 8 is in the tenths place, and 1 is in the hundredths place.
  • Step 2: Convert 0.810.81 into a fraction. Since 81 is the two-digit number following the decimal, we express this over 100, which represents the hundredths place: 81100\frac{81}{100}.
  • Step 3: Simplify the fraction if necessary. In this case, 81100\frac{81}{100} is already in its simplest form.

Thus, the decimal 0.810.81 can be written in words as 81 divided by 100.

Among the given options, the correct answer corresponds to choice 2.

Answer

81 divided by 100

Exercise #9

Rewrite the following decimal in words:

0.56

Step-by-Step Solution

To solve this problem, we'll interpret the decimal number 0.56 by recognizing its place value to express it correctly in fractional form.

  • Step 1: Identify the decimal and its respective place value. The decimal 0.56 is read as "fifty-six hundredths."
  • Step 2: Convert the words into a fraction. Since it is fifty-six hundredths, it can be expressed as the fraction 56100 \frac{56}{100} .

Therefore, the solution to the problem is that the decimal 0.56 can be rewritten as 56 divided by 100.

Answer

56 divided by 100

Exercise #10

Rewrite the following decimal in words:

0.5

Step-by-Step Solution

To solve this problem, we need to express the decimal 0.5 as a fraction and then rewrite that fraction in words.

First, let's convert the decimal 0.5 into a fraction. The decimal 0.5 means that we have 5 parts out of 10, or 510\frac{5}{10}. In simplest terms, the decimal 0.5 is equivalent to the fraction where 5 is the numerator and 10 is the denominator.

Therefore, when expressed in words, 0.5 is "five divided by ten."
So, the correct answer choice is:

510\frac{5}{10}

Answer

5 divided by 10

Exercise #11

Rewrite the following decimal in words:

0.41

Step-by-Step Solution

To solve this problem, we need to express the decimal 0.410.41 in words. In a decimal, the tenths place and hundredths place determine the fraction it represents. Specifically, the fraction that corresponds to 0.410.41 is 41100 \frac{41}{100} , since 41 is in the hundredths place.

Let's consider how to express 0.410.41 in fraction form:

  • The number 0.410.41 is read as "forty-one hundredths."
  • This corresponds to writing it as a fraction with a denominator of 100.
  • Thus, 0.41=411000.41 = \frac{41}{100}, which is expressed in words as "41 divided by 100."

Therefore, among the given choices, the correct expression of 0.410.41 in words is 41100\frac{41}{100}, meaning 41 hundredths or "41 divided by 100."

Answer

41 divided by 100

Exercise #12

Rewrite the following decimal in words:

0.532

Step-by-Step Solution

To solve this problem, we need to express the decimal number 0.5320.532 as a fraction. In this decimal, the digit '5' is in the tenths place, the '3' is in the hundredths place, and '2' is in the thousandths place. This means that 0.5320.532 can be read as "five hundred thirty-two thousandths," which is equivalent to the fraction 5321000\frac{532}{1000}.

Therefore, the decimal 0.5320.532 in words is expressed as 5321000\frac{532}{1000}.

Looking at the choices provided:

  • Choice 1: 531100\frac{531}{100} - Incorrect
  • Choice 2: 53100\frac{53}{100} - Incorrect
  • Choice 3: 5310\frac{53}{10} - Incorrect
  • Choice 4: 5321000\frac{532}{1000} - Correct

Therefore, choice 4 is the correct representation of the decimal 0.5320.532.

Answer

532 divided by 1000

Exercise #13

Rewrite the following decimal in words:

0.14

Step-by-Step Solution

To solve this problem, let's convert the decimal 0.14 into words. We will:

  • Identify the place value of each digit in the decimal 0.14.
  • Convert it to a fraction over 100, since 0.14 has two decimal places.
  • Check the available choices and ensure the fraction matches one of them.

Now, let's work through the solution:

Step 1: Identify the place value of each digit.
The decimal 0.14 has:

  • "0" in the unit position (before the decimal point).
  • "1" in the tenths place and "4" in the hundredths place (after the decimal point).

Step 2: Convert 0.14 into a fraction.
Since there are two digits after the decimal point, 0.14 can be expressed as a fraction over 100:
14100\frac{14}{100}

Step 3: Match the conversion with the choices.
The correct expression of the decimal 0.14 in words is "14 divided by 100", which corresponds to choice 1.

Therefore, the solution to the problem is 14 divided by 100 14 \text{ divided by } 100 .

Answer

14 divided by 100

Exercise #14

Rewrite the following decimal in words:

0.110

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Convert the decimal 0.1100.110 into a fraction.
  • Step 2: Express the fraction in words.

Let us work through each step:

Step 1: Convert the decimal to a fraction.
A decimal number is expressed as a fraction with the denominator as a power of 10, where the power corresponds to the number of decimal places. The decimal 0.1100.110 has three decimal places. Thus, it can be written as:

0.110=11010000.110 = \frac{110}{1000}.

Step 2: Express the fraction in words.
The fraction 1101000\frac{110}{1000} is read as "110 divided by 1000" in words. Therefore, the decimal 0.1100.110 in words is "110 divided by 1000".

The solution to the problem is "110 divided by 1000"\text{"110 divided by 1000"}.

Answer

110 divided by 1000

Exercise #15

Rewrite the following decimal in words:

0.120

Step-by-Step Solution

To solve the problem of rewriting the decimal 0.1200.120 in words, we will follow these steps:

  • Step 1: Understand the value of the decimal number.
  • Step 2: Express the decimal as a fraction.
  • Step 3: Simplify the fraction if possible and then express it in words as a division.

Now, let's work through each step:

Step 1: The given decimal is 0.1200.120. This number is read as "zero point one two zero." The digits after the decimal point represent parts of a whole, specifically tenths, hundredths, and thousandths.

Step 2: To convert 0.1200.120 into a fraction, we analyze the place value of the decimal digits.
- The digit '1' is in the tenths place.
- The digit '2' is in the hundredths place.
- The digit '0' is in the thousandths place.

The decimal 0.1200.120 represents "120 thousandths," which is expressed as the fraction 1201000\frac{120}{1000}.

Step 3: Now, let's write 1201000\frac{120}{1000} in words. Although the fraction can be simplified, the problem asks for rewriting the decimal in words without simplifying it further. Thus, we state that 0.1200.120 is "120 divided by 1000."

Therefore, the solution to the problem is 120 divided by 1000120 \text{ divided by } 1000.

Answer

120 divided by 1000