Relating Fractions to Decimals Song Lyrics

If you split the number one into ten parts

That's where the decimal place values start

The values less than one, they're quite small

Like zero point one, which is a decimal, y'all

This number as a fraction is one over ten

And zero point one is its decimal equivalent

Fractions over ten, one hundred, one thousand and on

Are all decimal numbers, it's a phenomenon

Decimals are fractions just with different names

They each have a value that's exactly the same

Whole numbers to the left, decimals to the right

They get smaller and smaller til' they're barely in sight

Like whole numbers can get big, decimals can get small

If you know place value, you can imagine them all

On a place value chart, you'll see a pattern starts

If you split one tenth into ten equal parts

This new value is one hundredth and in every case

One hundred hundredths equals one whole in the ones place

When any denominator is a power of ten

That fraction can be written as its decimal equivalent

Whole numbers to the left, decimals to the right

They get smaller and smaller til' they're barely in sight

Like whole numbers can get big, decimals can get small

If you know place value, you can imagine them all

We've got the tenths, the hundredths, the thousandths and more

Let's imagine a number line to further explore

You see, there's a special line between zero and one

Where you'll find decimal numbers, and every fraction

Between zero and one, make ten intervals

These are tenths written as fractions or decimals

When counting by tenths, after you get to nine

The tenth tenth makes one whole on the number line

Let's see what happens as the place value decreases

And one tenth is divided into ten equal pieces

We get a hundredth written as point zero one

And ten of these make a tenth but we're not done

Every ten hundredths makes another tenth on the chart

Then something special happens at the ninety-ninth equal part

Because at ninety-nine hundredths, we're one hundredth away

From one whole, or one hundred hundredths, you could say

Whole numbers to the left, decimals to the right

They get smaller and smaller til' they're barely in sight

Like whole numbers can get big, decimals can get small

If you know place value, you can imagine them all