Relate hundredths to fractions and decimals

A hundredth is one of 100 equal parts of a whole, so $1/100 = 0.01$ ; quantities such as 23 hundredths can be represented as $23/100$ , $0.23$ , and a point on a hundredths number line. The relationship between tenths and hundredths is also understood, including that $1/10 = 10/100 = 0.10$ , while thousandths and more advanced decimal generalizations are not included.

Detailed Explanation: Relate hundredths to fractions and decimals

A hundredth is one of 100 equal parts of a whole:

1\text{ hundredth}=\frac{1}{100}=0.01

The denominator $(100)$ tells us that the whole is divided into 100 equal parts.

Example: Represent 23 hundredths

Step 1: Write the fraction.
Twenty-three hundredths means 23 parts out of 100:

\frac{23}{100}

Step 2: Write the decimal.
The second digit to the right of the decimal point shows hundredths. Therefore:

\frac{23}{100}=0.23

So, 23 hundredths can be written as:

\boxed{\frac{23}{100}=0.23}

Step 3: Locate it on a number line.
On a number line from $0$ to $1$ , divide the whole into 100 equal parts. The point for $(23)$ hundredths is the $(23)$ rd small mark after $0$ :

0 \quad \cdots \quad 0.23 \quad \cdots \quad 1

Remember that one tenth is equal to ten hundredths:

\frac{1}{10}=\frac{10}{100}=0.10

This means $(0.23)$ is 2 tenths and 3 hundredths.

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Fraction to Decimals - To Hundredths Decimal (with Placeholder) - Concept Intro

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