Examples with solutions for Decimal Fractions' Meaning: What is the number of....

Exercise #1

Determine the number of ones in the following number:

0.81

Video Solution

Step-by-Step Solution

To solve this problem, we need to examine the decimal number 0.810.81 and count the number of '1's present:

  • The first digit after the decimal point is 88.
  • The second digit after the decimal point is 11.

Now, count the number of '1's in 0.810.81:

There is only one '1' in the entire number 0.810.81 because it appears only once after the decimal point.

Thus, the total number of ones in 0.810.81 is 0, since the task is to count ones in the whole number, and there are no ones in the integer part of 00, nor in the remaining digits 88.

Therefore, the solution to the problem is 00, which corresponds to choice 3.

Answer

0

Exercise #2

Determine the number of hundredths in the following number:

0.96

Video Solution

Step-by-Step Solution

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

  • Step 1: Define the place value of each digit in the decimal number.
  • Step 2: Identify the specific digit in the hundredths place.
  • Step 3: Determine the number of hundredths in 0.96.

Now, let's work through each step:

Step 1: Consider the decimal number 0.960.96. In decimal representation, the digit immediately after the decimal point represents tenths, and the digit following that represents hundredths.

Step 2: In the number 0.960.96, the digit 99 is in the tenths place, and the digit 66 is in the hundredths place.

Step 3: Therefore, the number of hundredths in 0.960.96 is 66.

Thus, the solution to the problem is that there are 6 hundredths in the number 0.960.96.

Answer

6

Exercise #3

Determine the number of ones in the following number:

0.73

Video Solution

Step-by-Step Solution

To solve this problem, let's carefully examine the decimal number 0.73 0.73 digit by digit:

  • The first digit after the decimal point is 7 7 .
  • The second digit after the decimal point is 3 3 .

We observe that there are no digits in the sequence of 0.73 0.73 that are the number '1'. Therefore, there are no '1's in the decimal number 0.73 0.73 .

Thus, the number of ones in the number 0.73 0.73 is 0.

The correct choice, given the options, is choice id 1: 0.

Answer

0

Exercise #4

Determine the number of ones in the following number:

0.07

Video Solution

Step-by-Step Solution

To solve this problem, we'll examine the given decimal number, 0.070.07, to identify how many '1's it contains.

Let's break down the number 0.070.07:

  • The digit to the left of the decimal is 00, which is the ones place. It is not '1'.
  • The first digit after the decimal point is 00, which represents tenths. This is also not '1'.
  • The next digit is 77, which represents hundredths. This digit is also not '1'.

None of the digits in the number 0.070.07 are equal to '1'.

Therefore, the number of ones in 0.070.07 is 0.

Answer

0

Exercise #5

Determine the number of ones in the following number:

0.4

Video Solution

Step-by-Step Solution

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

  • Examine the given number 0.4.
  • Identify and list all digits represented in this decimal.
  • Count the occurrences of the digit '1'.

Now, let's work through each step:
Step 1: The number given is 0.4. This number is composed of the digits '0', '.', and '4'.
Step 2: Identify any '1's among these digits. There are no '1's in this sequence of digits.
Step 3: Thus, the count of the digit '1' in the number 0.4 is zero.

Therefore, the number of ones in the number 0.4 is 00.

Answer

0

Exercise #6

Determine the number of tenths in the following number:

1.3

Video Solution

Step-by-Step Solution

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

  • Step 1: Understand the problem of finding the number of tenths in 1.3.
  • Step 2: Note that the decimal number 1.3 is composed of the whole number 1 and the decimal fraction 0.3.
  • Step 3: Recognize that the tenths place is the first digit after the decimal point.

Now, let's work through each step:

Step 1: The problem asks us to count the number of tenths in the decimal number 1.3. This involves understanding the place value of each digit.

Step 2: In the decimal 1.3, the digit '1' represents the whole number and does not contribute to the count of tenths. The digit '3' is in the tenths place.

Step 3: Since the digit '3' is in the tenths place, it denotes 3 tenths or the fraction 310\frac{3}{10}.

Therefore, the number of tenths in 1.3 is 3 3 .

Answer

3

Exercise #7

Determine the number of hundredths in the following number:

1.23

Video Solution

Step-by-Step Solution

To solve this problem, it is important to understand how decimals are structured, specifically focusing on the concept of place value.

The number given is 1.231.23. Let's break down this number according to its place values:

  • The digit '1' is in the one's place.
  • The digit '2' is in the tenths place, as it is immediately after the decimal point.
  • The digit '3' is in the hundredths place, as it is the second digit after the decimal point.

Our task is to find the number of hundredths in this number.

In the decimal 1.231.23, the digit that represents the hundredths place is '3'. Therefore, there are 3 hundredths in the number 1.231.23.

By understanding the place value, we identify that the hundredths digit (second place after the decimal) is '3'.

Conclusively, the number of hundredths in 1.231.23 is 33, which corresponds to the given choice.

Answer

3

Exercise #8

Determine the number of thousandths in the following number:

1.123

Video Solution

Step-by-Step Solution

To solve this problem, we need to recognize the place value of the digits in the number 1.123.

In a decimal number, the positions to the right of the decimal point have specific place names:

  • The first position is the tenths place.
  • The second position is the hundredths place.
  • The third position is the thousandths place.

Let's apply this understanding to the given number:

The number 1.123 can be broken down as:

  • 11 is the whole number,
  • 0.10.1 represents the tenths position,
  • 0.020.02 represents the hundredths position,
  • 0.0030.003 represents the thousandths position.

This means that the third digit after the decimal, which is 3, represents the number of thousandths.

Therefore, in the number 1.123, there are 3 thousandths.

Thus, the correct answer is: 3.

This is represented by choice id "4".

Answer

3

Exercise #9

Determine the number of thousandths in the following number:

2.351

Video Solution

Step-by-Step Solution

To solve this problem, let's identify the place value of each digit in the decimal number 2.351:

  • The first digit to the right of the decimal point (3) is in the tenths place.
  • The second digit (5) is in the hundredths place.
  • The third digit (1) is in the thousandths place.

Since we are asked to determine the number of thousandths, we focus on the last digit, which is 1. This digit represents the thousandths in the number 2.351.

Therefore, the number of thousandths in 2.351 is 1 1 .

Answer

1

Exercise #10

Determine the number of hundredths in the following number:

6.23

Video Solution

Step-by-Step Solution

To solve this problem, we need to determine the number of hundredths represented in the decimal number 6.23 6.23 .

  • Step 1: Analyze the decimal place values in the number 6.23 6.23 . In any decimal number, the digits to the right of the decimal point indicate fractional parts of powers of ten.
  • Step 2: Consider the decimal structure: - The digit immediately after the decimal point (2 in 6.23) represents the number of tenths. - The second digit after the decimal point (3 in 6.23) represents the number of hundredths.
  • Step 3: Therefore, the number of hundredths in 6.23 6.23 is simply the digit in the hundredths place, which is 3.

Thus, the solution to the problem is 3 3 .

Answer

3