Tenth Place in Decimals

Get to know the concept of Tenth Place in Decimals in a better way by having a glance at the below modules. Make sure you check out the Decimals Definition, Procedure for finding the Tenth Place in Decimals, etc. Check the Solved Examples on How to find the Tenths Place in a Decimal and get an idea o the complete concept.

Decimal – Definition

A Decimal number is defined as a number whose whole number part and fractional part is separated by a decimal point. The dot in the decimal number is known as a decimal point and the number before the decimal point is known as an integral part and the number after the point is known as the decimal part.

The decimal part consists of numbers that can be either natural or whole numbers. An integral part of the number, place values is assigned from right to left side in the order of units, tens, hundreds….. and in decimal part place values are arranged from left to right side starting with tens, hundreds, thousands…..

The first place after the decimal point is divided by the number 10, it is called the tenth place.

It is represented as \(\frac { 1 }{ 10 } \) which is written in decimal form is 0.1, where the whole number part is 0 and integral or fractional part is 1.

How to find the Tenths Place in a Decimal Number?

The steps that are to be followed when we are given a fractional number are

Step 1: First, convert the fractional number into a decimal fraction that is dividing the numerator from the denominator.

Step 2: The numbers that are after the decimal point are called decimal numbers which can even be to hundreds and thousands depending upon the type of fraction.

Step 3: The first place after the decimal point is called the tenth place of the decimal.

For a whole number part of a number, the place values follow units, tens, hundreds, thousands, etc. The scenario is not the same for decimal values. This is because, when we want to represent a decimal number, we write any whole number to the left side of the point. So, in order to make things easier, we consider the number to the left point as unit digits and so the digit which is just to the right of the decimal point is considered as the tenth place of the decimal value.

Tenths Place in Decimals Examples

Example 1:

What is the tenth place of the decimal number 15.642?

Solution:

Given the decimal number is 15.642.

Here, 15 is a whole number part and 642 is the decimal part.

So, as discussed earlier, the decimal part has the tenth place just to the right side of the decimal point.

So, here we can say that the tenth place of the number is 6.

Example 2:

What is the tenth place of the decimal number 1532.876?

Solution:

Given the decimal number is 1532.876.

Here, 1532 is the whole number part and 876 is the decimal part.

So, as discussed earlier, the decimal part has the tenth place just to the right side of the decimal point.

So, here we can say that the tenth place of the number is 8.

Note: In a decimal number, if the integral part or decimal part is zeros then we need not consider that part because it has no value. Even though, if we include zero the value remains the same.

Example 3:

What is the tenth place of the decimal number 156.00?

Solution:

Given the decimal number is 156.00.

Here, 156 is a whole number part and 00 is the decimal part.

So, as discussed earlier, the decimal part has the tenth place just to the right side of the decimal point.

So, here we can say that the tenth place of the number is 0, as it has no value the number can be written as 156 itself.

Example 4:

Convert \(\frac { 3 }{ 4 } \) into decimal and find the decimal number in tenth place?

Solution:

Given number \(\frac { 3}{4 } \)

Here, Divide the numerator with the denominator to convert it into a decimal number that is divide 3 by 4.

Now, the decimal number is 0.75

Here, 0 is a whole number part and 75 is the decimal part.

So, as discussed earlier, the decimal part has the tenth place just to the right side of the decimal point.

So, here we can say that the tenth place of the number is 7.

Example 5:

Convert \(\frac { 5}{ 8 } \) into decimal and find the decimal number in tenth place?

Solution:

Given number \(\frac { 5}{8 } \)

Here, Divide the numerator with the denominator to convert it into a decimal number that is divide 5 by 8.

Now, the decimal number is 0.625

Here, 0 is a whole number part and 625 is the decimal part.

So, as discussed earlier, the decimal part has the tenth place just to the right side of the decimal point.

So, here we can say that the tenth place of the number is 6.

Decimal – Definition