A hundredth is a part of a whole that is divided into $100$ equal parts.

Hundredths are in the second place to the right of the decimal point and represent a fraction whose denominator is $100$.

A hundredth is a part of a whole that is divided into $100$ equal parts.

Hundredths are in the second place to the right of the decimal point and represent a fraction whose denominator is $100$.

One thousandth is a part of a whole that is divided into $1000$ equal parts.

Thousandths are in the third place to the right of the decimal point and represent a fraction whose denominator is $1000$.

Solve the following:

\( \frac{100000}{100}= \)

In this article, we will learn about hundredths and thousandths and learn everything necessary about them.

First, let's remember the structure of the decimal number:

A hundredth is a part of a whole divided into $100$ equal parts.

To deeply understand what a hundredth is, let's think of an example from life:

Let's think about a birthday cake that is on the festive table.

At the party, there are $100$ guests.

If the cake is divided into equal parts among everyone, so that everyone gets an equal part of the cake, each guest will receive a hundredth of the cake.

In fact, a portion of $100$ or in fraction $1 \over 100$

If we look above, in the structure of the decimal fraction we see that the hundredths are in the second place to the right of the decimal point and represent a fraction whose denominator is $100$.

**What will happen if we tell you that only** **$5$**** guests ate the cake, each one a slice?**

In reality, only $5$ portions of $100$ were eaten, that is, $5 \over 100$,$5$ hundredths.

If we want to convert it to a decimal number we get:

$0.05$**Explanation:**

There are $0$ wholes –> there are no wholes in the fraction

We add a decimal point

Tenths, we don't have them, so it will be $0$ hundredths –> $5$ hundredths.

**Extra section:**

What would happen if $17$ portions were eaten?

In fact, $17\over 100$ -> $17$ hundredths? **How would we pronounce the hundredths as a decimal number?****$17$**

**Solution:**

As $17$ is made up of $10$ and another $7$

That is, one tenth and another $7$ hundredths

Therefore: $0.17$

How many hundredths are there in the number $2.56$?**Solution:**

There are $6$ hundredths in the number.

We learned that the hundredth digit is the second to the right of the decimal point.

Firstly -> the number $5$ represents the tenths.

And secondly, the number $6$ represents the hundredths.

We place the decimal point so that $8$ is the hundredths digit in the number.

$54689$

**Solution:**

$54.689$

We place the decimal point so that the number $8$ is $2$ steps from it to the right.

When the digit is in the second place from the right $2$ steps expresses the hundredths.

Test your knowledge

Question 1

Solve the following:

\( \frac{111.4}{100}= \)

Question 2

Solve the following:

\( \frac{100000}{100}= \)

A thousandth is a part of a whole that is divided into $1000$ equal parts. If we divide a cake into $1000$ equal parts and eat one portion -> we actually ate a thousandth of the cake -> $1 \over 1000$

In the structure of the decimal fraction, it seems that thousandths are in the third place to the right of the decimal point and represent a fraction whose denominator is $1000$.

What is the thousandths digit in the number $8.672$?

**Solution:**

The thousandths digit is $2$ -> the digit that is in the third place to the right of the decimal point.

A large group of ants found $1000$ marshmallow crumbs of the same size.

Surprisingly, only $700$ ants tasted the marshmallow, each one tasted one crumb.

**How many marshmallows were eaten?**

**Solution:**

$700 \over 1000$

Were eaten $700$ thousandths –> $700$ equal crumbs of $1000$ which are also$0.700$

Do you know what the answer is?

Question 1

Solve the following:

\( \frac{111.4}{100}= \)

Question 2

Solve the following:

\( \frac{100000}{100}= \)

Related Subjects

- The Order of Basic Operations: Addition, Subtraction, and Multiplication
- Order of Operations: Exponents
- Order of Operations: Roots
- Division and Fraction Bars (Vinculum)
- The Numbers 0 and 1 in Operations
- Neutral Element (Identiy Element)
- Order of Operations with Parentheses
- Order or Hierarchy of Operations with Fractions
- Opposite numbers
- Elimination of Parentheses in Real Numbers
- Addition and Subtraction of Real Numbers
- Multiplication and Division of Real Numbers
- Multiplicative Inverse
- Integer powering
- Positive and negative numbers and zero
- Real line or Numerical line
- Fractions
- A fraction as a divisor
- How do you simplify fractions?
- Simplification and Expansion of Simple Fractions
- Common denominator
- Part of a quantity
- Sum of Fractions
- Subtraction of Fractions
- Multiplication of Fractions
- Division of Fractions
- Comparing Fractions
- Placing Fractions on the Number Line
- Numerator
- Denominator
- Decimal Fractions
- What is a Decimal Number?
- Reducing and Expanding Decimal Numbers
- Addition and Subtraction of Decimal Numbers
- Comparison of Decimal Numbers
- Converting Decimals to Fractions