A decimal remainder or decimal fraction is everything that appears to the right of the decimal point.
When the whole number is , the entire number (not just what appears to the right of the decimal point) is the remainder.

A decimal remainder or decimal fraction is everything that appears to the right of the decimal point.
When the whole number is , the entire number (not just what appears to the right of the decimal point) is the remainder.
Determine the number of hundredths in the following number:
0.96
A remainder is what is left over after dividing a number that is not evenly divisible by another number, and it is essentially the part that is added to the whole.
Just to clarify - a decimal number with digits after the decimal point represents a non-whole number, meaning a fraction, and therefore can also be called a decimal fraction.
It's really easy!
A decimal number consists of a number, a decimal point, and digits to the right of the decimal point.
Everything that appears to the left of the decimal point is called the whole number.
Everything that appears to the right of the decimal point is called the decimal part.
In other words:
Let's look at an example:
What is the decimal remainder in:
The answer is remainder .
It can also be written as:
Another example:
What is the remainder in the number
The answer is or
Pay attention -
If you see the decimal number and were asked what the remainder is,
you need to remember that everything to the right of the decimal point is the remainder, so in the decimal number
the remainder is and not or
*Even though it's just a digit of , it is significant when dealing with remainders.
Important note:
When we have a decimal number where the whole number part is , meaning it has no whole numbers,
the entire number is actually a remainder, because there are no whole numbers.
For example –
In the number:
The entire number is a remainder.
Think about it this way,
A remainder is obtained when we divide a number by another number and it doesn't divide evenly.
For example, if we divide cake slices among children.
Each child will get one slice and a quarter of a slice.
So the remainder is
But what happens if we want to divide slice between children?
Each child will get half a slice, it's not even whole and therefore the entire half is the remainder.
When will we get a remainder of ?
When there are no digits after the decimal point, we can determine that the remainder is or there is no remainder.
Also, if you encounter only zeros to the right of the decimal point, you can still determine there is no remainder.
Let's look at an example:
What is the remainder in the number ?
There is no remainder.
And now?
?
Still no remainder, remainder .
Special cases:
We said that when a number appears to the right of the decimal point like we can determine that the remainder is or .
But what happens with a decimal number like ?
In this case, the remainder is not but
It's important that we write and then a decimal point to understand the meaning of
Remember - everything that appears to the right of the decimal point is considered a remainder!
And now let's practice:
What is the decimal remainder in ?
Solution:
What is the decimal remainder in ?
Solution:
Since both the remainder is and the whole number is , it is highly recommended to add a decimal point and the digit on the left to emphasize that this is a remainder.
Therefore, the remainder in this number is
What is the remainder in the number ?
Solution: There is no remainder. If there was a decimal point, there would only be to its right.
What is the decimal part in the number 5?
Solution: Note,
if you write it would be a complete mistake since there are several zeros before .
Therefore, the answer is
Determine the number of ones in the following number:
0.07
Determine the number of ones in the following number:
0.4
Determine the number of ones in the following number:
0.73
Which figure represents 0.1?
The task is to determine which of the given figures correctly represents the decimal fraction 0.1.
To interpret 0.1, we recognize it as . This indicates that in a graphical representation of 10 equal parts, 1 part should be shaded. Each figure is assumed to be divided into such equal parts.
Let's analyze the options:
Hence, the correct choice that correspond to 0.1 is Choice 1. This figure accurately shades exactly 1 out of 10 equal segments.
Therefore, the solution to the problem indicates that choice 1 correctly represents the decimal fraction 0.1.
Which figure represents seven tenths?
To solve the problem of identifying which figure represents seven tenths, follow these steps:
Now, let's apply these steps:
Step 1: We note that each figure is evenly divided into ten parts.
Step 2: By inspecting each option, you can see which has exactly seven segments shaded. This corresponds directly to seven out of ten segments, or seven tenths.
Step 3: Upon review, the figure corresponding to choice 3 shows exactly seven shaded segments out of ten.
Therefore, the solution to the problem is eminently found as choice 3, representing seven tenths.
Determine the numerical value of the shaded area:
To solve this problem, let's analyze the shaded area in terms of grid squares:
Thus, the total shaded area is .
Therefore, the solution to the problem is .
1.6
Determine the number of ones in the following number:
0.73
To solve this problem, let's carefully examine the decimal number digit by digit:
We observe that there are no digits in the sequence of that are the number '1'. Therefore, there are no '1's in the decimal number .
Thus, the number of ones in the number is 0.
The correct choice, given the options, is choice id 1: 0.
0
Determine the numerical value of the shaded area:
To solve this problem, let's follow the outlined plan:
Now, let's apply these steps:
Step 1: The given diagram shows that there are 4 vertical stripes shaded.
Step 2: The total number of vertical stripes (including both shaded and unshaded) is 10.
Step 3: The fraction of shaded area is .
Step 4: Convert to a decimal. This equals .
Therefore, the numerical value of the shaded area is 0.4.
0.4