Hundredth Place in Decimals

Struggling to understand the concept of Hundredths Place in Decimals? If so, you need not bother as we have compiled the entire information such as Definition, Procedure for finding the Hundredths Place in Decimals. Check out the Solved Examples and understand How to Find the Hundredths Place in Decimals and apply the same to related problems.

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Decimal – Definition

A Decimal number is stated as a number whose whole number part and fractional part or integral 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 a whole number part and the number after the point is known as the decimal part or integral part. The decimal part consists of numbers that can be either natural or whole numbers.

The value of a digit based on its position or place in a number is known as its place value. The following are the place values to the left of the decimal point: the ones, the tens, the hundreds, then thousands, and so on.

The following are the place values to the right of the decimal point: the tenth, the hundredth, the thousandth, the ten-thousandth, and so on.

The second place after the decimal is got by dividing the number by 100, it is called the hundredths place.

It is represented as \(\frac { 1 }{ 100 } \)which is written in decimal form is 0.01, where the whole number part is 0 and integral or fractional part is 01 and 1 after the decimal point is hundredth place.

How to find the Hundredth 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 second place after the decimal point is called the hundredth place of the decimal.

For a whole 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 the second place after the decimal point is considered as the hundredth place.

Hundredths Place in Decimals Examples

Example 1:

What is the tenth place of the decimal number 3.678?

Solution:

Given the decimal number is 3.678.

Here, 3 is a whole number part and 678 is the decimal part.

So, as discussed earlier, the decimal part has the hundredth place just to the second position after the decimal point.

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

Example 2:

What is the hundredth place of the decimal number 15.542?

Solution:

Given the decimal number is 15.542.

Here, 15 is a whole number part and 542 is the decimal part.

So, as discussed earlier, the decimal part has the hundredth place just to the second position after the decimal point.

So, here we can say that the hundredth place of the number is 4.

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 constant.

Example 3:

What is the hundredth place of the decimal number 181.00?

Solution:

Given the decimal number is 181.00.

Here, 181 is a whole number part and 00 is the decimal part.

So, as discussed earlier, the decimal part has the hundredth place just to the second position after the decimal point.

So, here we can say that the hundredth place of the number is 0, as it has no value the number can be written as 181 itself.

Example 4:

Convert \(\frac { 8 }{ 25} \) into decimal and find the decimal number in hundredth place?

Solution:

Given number \(\frac { 8 }{ 25 } \)

Here, Divide the numerator with the denominator to convert it into a decimal number that is divide 8 by 25.

Now, the decimal number is 0.32

Here, 0 is a whole number part and 32 is the decimal part.

So, as discussed earlier, the decimal part has the hundredth place just to the second position after the decimal point.

So, here we can say that the hundredth place of the number is 2.

Example 5:

Convert \(\frac {5 }{ 8} \) into decimal and find the decimal number in hundredth 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 hundredth place just to the second position after the decimal point.

So, here we can say that the hundredth place of the number is 2.

Decimal – Definition