In Mathematics, the numbers are categorized into different types such as natural numbers, real numbers, and rational numbers and so on. Decimal numbers are one of them. It’s typical form of expressing integer & non-integer numbers. These decimal numbers also go through addition, subtraction, and multiplication and division process. Do you know how to divide decimals?
What is Decimal?
Decimals and fractions are two separate ways of representing the parts of a single whole number. Decimal is the way of expressing the 10ths, 100ths and 1000ths of a unit.
The decimals might seem a little bit complex, but they’re only numbers and they are governed by the same rules what other numbers follow.
Then, what is a decimal number? When it comes to Algebra, the decimal number is defined as the number whose whole number and fractional part is spaced out by the decimal point.
The presence of a Dot (.) in the decimal number is called the decimal point. The digits come after the decimal point displays the value lesser than one.
For Example: 12.5 is a decimal number. Here, 12 is the whole part and 5 is the fractional part. The (.) shows the decimal point.
Now we will discuss some other examples
We can write 12.5 as the following way:
“Twelve and five-tenth”
The decimal point revolves between Ones and Tenths
12.5 has 1 ten, 2 ones and 5 tenths
DECIMAL NUMBER
12.5 = 10 + 2 + 5/10
How to Divide Decimals
Here, we will learn the different ways of dividing decimals-
- Dividing the decimal number with the whole number
Example: Divide 12.5 with 5
2.5
5 12.5
10
25
25
0
- Dividing the decimal number with the decimal number
Example: Divide 12.5 with 2.5
2.5 12.5
Covert 2.5 into a whole number by shifting the decimal point to the right and it becomes 25.
Next convert 12.5 into a whole number by shifting the decimal point to the right and it becomes 125
5
25 125
125
0
While dividing decimal number with a whole number or decimal number, the reminder never becomes 0 and after some decimal places in quotient, you have terminate it by putting the next bigger number. This is called terminating decimals. Example, 62.35 ÷ 5.6 = 11.16964285714286.
Now you will take the result to the 3 decimal places approximately 11.169.
In another case, 10.0 ÷ 3.0 = 3.333333333333333. This is called recurring decimal. You have to round it up as 3.334.
Other Decimal Numbers
Decimal Fraction- It shows the fraction in which the denominator in the powers of ten.
Example:
65.75 = 6575/100
42.625 = 42625/1000
Converting the Decimal Number into Decimal Fraction:
Example:
- 7 5
↓ ↓ ↓
1 0 0
65.75 = 6575/100
6 shows power of 101 that is the 10ths position.
5 shows power of 100 that is units position.
7shows power of 10-1 that is 1-10ths position.
5 shows power of 10-2 that is the 1-100ths position.
This is the way each digit is showcased by the particular power of the 10 in decimal number.