What are hundredths in a decimal?

In a decimal, the hundredths are shown by the second digit to the right of the decimal point. For example, in 3.47, the 4 is in the tenths place and the 7 is in the hundredths place, so the number has 7 hundredths.

How do you write hundredths as a fraction?

Hundredths are written as a fraction with a denominator of 100. For example, 0.29 is 29 hundredths, which is written as 29/100. The numerator, 29, tells how many hundredths there are.

How do you round to the nearest hundredth?

To round a decimal to the nearest hundredth, look at the thousandths place, which is the third digit to the right of the decimal point. If the thousandths digit is 5 or more, increase the hundredths digit by 1; if it is 4 or less, keep the hundredths digit the same and drop the remaining digits.

How do kids compare numbers with hundredths?

To compare decimals with hundredths, first compare the ones, then the tenths, then the hundredths if needed. Many students use number lines or area models to see which decimal represents a larger or smaller amount, such as seeing that 0.68 is to the right of 0.52 on a number line.

What Are Hundredths? Definition and Examples

Kid-friendly explanation

Imagine a dollar split into 100 tiny equal pieces. Each piece is 1 hundredth of the dollar, or 0.01. If you have 25 of those pieces, you have 25 hundredths, written as 0.25. The second digit after the decimal point tells how many hundredths there are.

Worked examples with hundredths

Example 1 (easier): Reading and adding hundredths

Think about money, where 1 dollar = 100 cents. The decimal 0.37 means 37 hundredths of a dollar, or 37 cents.

Now add 0.37 and 0.15.

Line up the decimals: 0.37 + 0.15.

Add the hundredths: 7 hundredths + 5 hundredths = 12 hundredths. That is 1 tenth and 2 hundredths, so regroup 10 hundredths as 1 tenth. Write 2 in the hundredths place and add 1 tenth to the tenths place.

Add the tenths: 3 tenths + 1 tenth + 1 regrouped tenth = 5 tenths.

So 0.37 + 0.15 = 0.52, which is 52 hundredths, or 52 cents.

Example 2 (more advanced): Comparing and multiplying hundredths

Suppose a game costs $4.25 and is on sale for 0.15 (15 hundredths) off the price. First compare 4.25 and 4.15 to see which is larger.

Write them with place values: 4.25 has 4 ones, 2 tenths, and 5 hundredths. 4.15 has 4 ones, 1 tenth, and 5 hundredths.

Compare the ones: both have 4 ones. Compare the tenths: 2 tenths is greater than 1 tenth, so 4.25 > 4.15.

Now find 0.15 of $4.00 to estimate the discount. Think of 0.15 as 15 hundredths, or 15/100.

Multiply 4.00 by 0.15: 4.00 × 0.15 = 0.60. You can see this as 4 × 15 = 60, then place the decimal so there are 2 decimal places (hundredths) in the answer, giving 0.60.

The discount is 0.60, or 60 hundredths of a dollar, which is 60 cents.

How hundredths connect to other decimal ideas

Hundredths are part of the decimal place-value system. The first place to the right of the decimal point is the tenths place, which shows parts that are 1 out of 10. The second place to the right is the hundredths place, which shows parts that are 1 out of 100.

When your child reads or writes decimals like 0.47, they are saying how many tenths and hundredths there are. For example, 0.47 is 4 tenths and 7 hundredths, or 47 hundredths in total. This connects directly to fractions, because 0.47 can also be written as 47/100.

As your child moves into more advanced work, they will add, subtract, multiply, and divide decimals to the hundredths place, compare and order decimals using number lines or area models, and round decimals to the nearest hundredth. Hundredths also appear when estimating values that involve pi, such as using 3.14 for circle problems.

Common mistakes with hundredths

Mixing up tenths and hundredths. A common error is to think 0.4 and 0.40 are different sizes, or that 0.4 is smaller than 0.35 because 4 is less than 35. Correction: 0.4 is 4 tenths, which is the same as 40 hundredths, so 0.4 > 0.35.
Not lining up decimal points when adding or subtracting. A child might add 0.7 and 0.25 as if they were 7 + 25 and get 32, then write 0.32. Correction: decimals must be lined up by the decimal point so tenths are added to tenths and hundredths to hundredths, giving 0.7 + 0.25 = 0.95.
Thinking more digits always means a larger number. A child might say 0.125 is greater than 0.3 because it has more digits. Correction: compare place values; 0.3 is 3 tenths (30 hundredths), and 0.125 is 12 hundredths and 5 thousandths, so 0.3 > 0.125.

Where hundredths show up in everyday life

Hundredths appear any time decimals with two places are used. Prices in dollars and cents, measurements like 1.25 meters, and scores such as 9.75 out of 10 all use hundredths. When a receipt shows $3.49, that means 3 dollars and 49 hundredths of a dollar.

Related decimal terms to explore

Hundredths are part of a larger set of decimal ideas. It can help to see how they connect to these related terms:

What are hundredths?