Hundredths in Math: Definition, Place Value & Examples

Definitionnoun

What are hundredths in math?

Hundredths are the parts you get when one whole is split into 100 equal parts; one hundredth is 1100 or 0.01. The hundredths place is the second digit to the right of the decimal point, so in 3.47 the 7 means 7 hundredths. One cent is one hundredth of a dollar.

In Spanish: centésimos
Also called: hundredth, hundredths place, one hundredth, 0.01
Grade level: K-5

Grade 4Grade 5Grade 6CCSS 4.NF.C.5CCSS 4.NF.C.6CCSS 5.NBT.A.3.aGEDTABE

Hundredths in a picture

A hundred grid shows why 0.47 has a 4 in the tenths place: every full column of 10 hundredths is one tenth.

Formal definition and notation

One hundredth is the fraction 1100, one part of a whole partitioned into 100 equal parts. In base-ten notation, a digit d in the second place after the decimal point has value d × 1100. Ten hundredths make one tenth, so a10 = 10a100; this lets you add tenths and hundredths, as in 310 + 4100 = 34100.

Symbol	Read it as	Meaning
1100	one hundredth	one of 100 equal parts of a whole
0.01	one hundredth, or zero point zero one	the same amount as a decimal; the 0 in the tenths place holds the 1 in the hundredths place
%	percent	per hundred: 35% means 35 hundredths, 0.35

Key facts

100 hundredths make 1 whole, and 10 hundredths make 1 tenth.
The hundredths place is the second place to the right of the decimal point.
Money is counted in hundredths: 4.25 dollars is 4 dollars and 25 cents, and 1 cent = 0.01 dollar.
Percent means hundredths: 0.08 = 8100 = 8%.
To add tenths to hundredths, rename the tenths: 610 + 5100 = 60100 + 5100 = 65100.

Hundredths as fractions, decimals and percents

n100 = 0.0n for one digit, ab100 = 0.ab for two

n: a number of hundredths from 1 to 9 (one digit), as in 6100 = 0.06
ab: a two-digit number of hundredths, as in 35100 = 0.35 = 35%

Always write two digits after the point for hundredths: 6 hundredths is 0.06, not 0.6.

Try it: tenths and hundredths

Interactive

Change the hundredths digit past 9 and back. Watch how its value compares with the same digit in the tenths place.

This interactive needs JavaScript. The worked examples below show the same ideas step by step.

Hundredths examples, step by step

Example 1: Decimal to fraction

Warm-up

Write 0.08 as a fraction in simplest form.

The 8 is in the hundredths place, so 0.08 = 8100.
Divide top and bottom by 4: 8100 = 225.

Answer: 0.08 = 225.

Example 2: Adding tenths and hundredths

Core

Find 310 + 45100 and write the sum as a decimal.

Rename tenths as hundredths: 310 = 30100.
Add: 30100 + 45100 = 75100.
75 hundredths is 0.75.

Answer: The sum is 75100, or 0.75.

Example 3: Making change

Test-style

Maya pays for a 2.37-dollar snack with a 5-dollar bill. How much change does she get?

Write 5 as 5.00 and line up the points: 5.00 − 2.37.
Hundredths: 0 − 7 needs regrouping; 5.00 = 4 ones, 9 tenths, 10 hundredths.
10 − 7 = 3 hundredths, 9 − 3 = 6 tenths, 4 − 2 = 2 ones.

Answer: Her change is 2.63 dollars (2 dollars and 63 cents).

Common mistakes

✗ MistakeWriting 6 hundredths as 0.6.

✓ Instead6 hundredths is 0.06.

0.6 puts the 6 in the tenths place, which is 60 hundredths, ten times too big. The 0 holds the tenths place.

✗ MistakeAdding 210 + 5100 = 7110.

✓ InsteadRename first: 20100 + 5100 = 25100 = 0.25.

Fractions add only when the parts are the same size. Tenths are 10 times bigger than hundredths.

✗ MistakeThinking 0.09 is greater than 0.1 because 9 is greater than 1.

✓ Instead0.1 = 0.10, which is 10 hundredths, and 10 hundredths > 9 hundredths.

Compare place by place from the left: 0.1 has 1 tenth, 0.09 has 0 tenths.

Not to be confused with

Hundredthsvs.Hundreds

Hundreds are groups of 100 (the 3 in 352 is 300). Hundredths are tiny parts of one (the 3 in 0.03 is 3 hundredths).

Hundredthsvs.Tenths

Tenths are the first place after the point and are 10 times bigger: 0.3 = 30 hundredths.

Quick check: 3 questions

Question 1 of 3

Which decimal is equal to 9100?

Show answer and explanation

Answer: C. 9 hundredths has the 9 in the second place after the point: 0.09. 0.9 is 9 tenths, 9.00 is nine wholes, and 0.009 is 9 thousandths.

Question 2 of 3

What is 410 + 7100?

Show answer and explanation

Answer: B. Rename 410 as 40100, then 40 + 7 = 47 hundredths. 11/100 adds 4 and 7 as if both were hundredths, 11/110 adds tops and bottoms, and 74/100 swaps the digits.

Question 3 of 3

In 6.385, which digit is in the hundredths place?

Show answer and explanation

Answer: B. The hundredths place is the second digit after the point: 8. The 3 is in the tenths place, the 5 is in the thousandths place, and the 6 is in the ones place.

Hundredths: frequently asked questions

How do you write hundredths as a decimal?

Use two digits after the decimal point. 25 hundredths is 0.25, and 3 hundredths is 0.03, with a 0 holding the tenths place. If there are 100 or more hundredths, regroup each 100 as 1 whole: 135 hundredths is 1.35.

What is the difference between hundreds and hundredths?

Hundreds are large and hundredths are small. The hundreds place is the third place to the left of the decimal point, so the 4 in 452 means 400. The hundredths place is the second place to the right of the point, so the 4 in 0.04 means 4 hundredths. The ending “ths” always names a part of one.

How do hundredths relate to percents?

Percent means per hundred, so a percent is just a number of hundredths. 0.35 is 35 hundredths, which is 35%, and 0.07 is 7 hundredths, which is 7%. To change a decimal to a percent, read off how many hundredths it has; that is the same as multiplying by 100.

Practice and tools

Fraction, Decimal and Percent CalculatorSwitch hundredths between fractions, decimals and percents Rounding CalculatorRound to the nearest hundredth

Sources

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 4.NF.C.5, CCSS 4.NF.C.6, CCSS 5.NBT.A.3.a

Cite this entry

Effortless Math Team. “Hundredths.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/hundredths/

Flashcard

TermHundredths100 equal parts of one

DefinitionOne of 100 equal parts of a whole, written 1/100 or 0.01. In 3.47 the 7 is in the hundredths place; one cent is a hundredth of a dollar.

Study the full deck

Browse all terms in the Math Dictionary · More number system terms · Random term

Decimal PointA decimal point is the dot that separates the whole-number part of a number from its fractional part. Digits to its left are ones, tens and hundreds; digits to its right are tenths, hundredths and thousandths. In 46.25 the point sits between 6 ones and 2 tenths, and you read it aloud as “and”.Number System · Grade 4, Grade 5, Grade 6TenthsTenths are the parts you get when one whole is split into 10 equal parts; each part is one tenth, written 110 or 0.1. The tenths place is the first digit to the right of the decimal point, so in 4.7 the 7 means 7 tenths, or 0.7.Number System · Grade 3, Grade 4, Grade 5Simplest FormSimplest form is the way of writing a fraction so its numerator and denominator have no common factor other than 1. To get there, divide the top and bottom by their greatest common factor: 68 = 6 ÷ 28 ÷ 2 = 34. The value stays the same; only the numbers get smaller. It is also called lowest terms.Number System · Grade 4, Grade 5, Grade 6RegroupingRegrouping is trading 10 of one place value for 1 of the next larger place, or 1 for 10 of the next smaller place, so that column addition or subtraction works. In 47 + 38, the 15 ones become 1 ten and 5 ones; in 52 − 27, 1 ten becomes 10 ones. It is also called carrying and borrowing.Operations · Grade 1, Grade 2, Grade 3NumberA number is an amount or value used to count, measure, order and compare. We write numbers with digits (7), words (seven) or other symbols, but the number itself is the amount: 7 dots, the word seven and the numeral 7 all show the same number. Numbers include whole numbers, fractions, decimals and negatives.Number System · Kindergarten, Grade 1, Grade 2FractionA fraction is a number that names equal parts of a whole, written ab. The bottom number, the denominator, tells how many equal parts make one whole; the top number, the numerator, tells how many of those parts you have. So 34 means 3 of 4 equal parts. Every fraction is also a point on the number line.Number System · Grade 3, Grade 4, Grade 5Place ValuePlace value is the value of a digit based on its position in a number. In 3,507 the 5 is worth 500, because it sits in the hundreds place. Each place is worth 10 times the place to its right: ones, tens, hundreds, thousands, and after the decimal point, tenths and hundredths.Number System · Grade 3, Grade 4, Grade 5PercentA percent is a number out of 100. Percent means per hundred, so 25% means 25 out of 100, or 25100 = 0.25. To find a percent of a quantity, change the percent to a decimal and multiply: 20% of 80 is 0.20 × 80 = 16. The symbol for percent is %.Number System · Grade 5, Grade 6, Grade 7RoundingRounding replaces a number with a nearby number that is easier to use, to a chosen place value. Look at the digit immediately to the right of that place: 5 or more rounds up, 4 or less rounds down. So 47 rounds to 50 to the nearest ten, and 3.68 rounds to 3.7 to the nearest tenth.Number System · Grade 3, Grade 4, Grade 5DecimalA decimal is a number written with a decimal point to show parts of a whole. Decimals use place value to represent tenths, hundredths, thousandths and more: in 3.14, the 1 means 1 tenth and the 4 means 4 hundredths. So 0.75 = 75100, and 0.5 is one half.Number System · Grade 4, Grade 5, Grade 6Equivalent FractionsEquivalent fractions are fractions that name the same value, like 12, 24 and 36. To make one, multiply or divide the numerator and denominator by the same nonzero number. That multiplies the fraction by 1, so its value does not change, and the fractions land on the same point of a number line.Number System · Grade 3, Grade 4, Grade 5

Hundredths

What are hundredths in math?

Hundredths in a picture

Formal definition and notation

Key facts

Hundredths as fractions, decimals and percents

Try it: tenths and hundredths

Hundredths examples, step by step

Example 1: Decimal to fraction

Example 2: Adding tenths and hundredths

Example 3: Making change

Common mistakes

Not to be confused with

Quick check: 3 questions

Hundredths: frequently asked questions

How do you write hundredths as a decimal?

What is the difference between hundreds and hundredths?

How do hundredths relate to percents?

Related terms

Practice and tools

Sources

Flashcard

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