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Hundredth: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">HundredthHundredth: Definition and ExampleTable of ContentsDefinition of Hundredth

One-hundredth represents a fraction that is equal to 1100\frac{1}{100}1001​ of a whole. In the decimal place value system, the hundredth place is the second position after the decimal point. When we divide a whole into 100 equal parts, each part represents one-hundredth of the whole. This can be written as 0.01 in decimal form. Understanding place values in decimal numbers is essential—as we move from left to right in a decimal number, each place value is 110\frac{1}{10}101​ times smaller than the value to its left.

The key distinction between hundred and hundredth is significant: while one hundred (100) is a whole number representing a collection of 100 units, one-hundredth (1100\frac{1}{100}1001​) is a fraction representing one part out of 100 equal parts of a whole. In decimal form, one-hundredth is written as 0.01, whereas one hundred is written as 100. The hundred is 10,000 times greater than one-hundredth, highlighting the vast difference between these mathematically related but conceptually distinct values.

Examples of Hundredth Example 1: Identifying the digit at the hundredth place Problem:

Identify the digit at the hundredth place in 234.65.

Step-by-step solution: Step 1, Recall that the hundredth place is the second position after the decimal point in a number. Step 2, Look at the given decimal number 234.65 and identify each place value position: 2 is in the hundreds place 3 is in the tens place 4 is in the ones place 6 is in the tenths place 5 is in the hundredths place Step 3, Therefore, the digit at the hundredths place in 234.65 is 5. Example 2: Converting a fraction to a decimal number Problem:

Write 54100\frac{54}{100}10054​ as a decimal number.

Step-by-step solution: Step 1, Remember that when converting a fraction to a decimal, we're expressing the fraction in the decimal place value system. Step 2, Note that the denominator is 100, which means we're dealing with hundredths. Step 3, When the denominator is a power of 10 (like 10, 100, 1000), we can simply move the decimal point to the left by the number of zeros in the denominator: 100 has two zeros, so we move the decimal point two places to the left from 54. This gives us 0.54 Step 4, Therefore, 54100\frac{54}{100}10054​ = 0.54 or 54 hundredths. Example 3: Identifying the place value of a digit Problem:

Identify the place value of 6 in 54.267.

Step-by-step solution: Step 1, Let's identify the position of each digit in the number 54.267: 5 is in the tens place 4 is in the ones place 2 is in the tenths place 6 is in the hundredths place 7 is in the thousandths place Step 2, Since 6 is in the hundredths place, its place value is determined by multiplying the digit by 1100\frac{1}{100}1001​: Place value of 6 = 6 ×1100\times \frac{1}{100}×1001​ = 6100\frac{6}{100}1006​ = 0.06 Step 3, Therefore, the place value of 6 in 54.267 is 6100\frac{6}{100}1006​ or 0.06. Comments(8)DDoctorChrisNovember 4, 2025I've used this hundredth definition to teach my students. It's clear and the examples really helped them grasp the concept!

IInteriorDesignerQuinnNovember 4, 2025I've used this hundredth def to help my students. It's clear and the examples made grasping decimal place values a breeze!

NNatureLover25September 18, 2025I used this page to explain hundredths to my kids, and it made such a difference! The examples are super clear, and they finally got the connection between fractions and decimals. Thanks!

MCMs. CarterSeptember 10, 2025This definition of 'hundredth' made it so easy to explain decimals to my kids! They finally got the connection between fractions and decimals. Loved the examples—they really made a difference!

NNatureLover92August 27, 2025This definition of 'hundredth' was super clear! I used the examples to explain decimal place values to my daughter, and it really clicked for her. Thanks for making math less intimidating!

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