*Contributor: Ashley Nail. Lesson ID: 13407*

Sure, fractions make sense...but what about decimals? How are they related to fractions? In this lesson, you will learn how tenths and hundredths can be fractions and decimals!

categories

subject

Math

learning style

Kinesthetic, Visual

personality style

Lion, Beaver

Grade Level

Intermediate (3-5)

Lesson Type

Quick Query

For gym class, Ms. Hintlemann gave her class an assignment: run as far as you can without stopping.

Sarah ran ^{3}/_{10} of a mile.

Brian ran 0.45 miles.

Victor ran ^{30}/_{100} of a mile.

Kayla ran 0.3 miles.

Tristen ran ^{7}/_{10} of a mile.

Ailee only ran ^{10}/_{100} of a mile.

Lilly ran ^{26}/_{100} of a mile.

- Who ran the farthest?
- What do these distances have in common?
- How are they different?

All of Ms. Hintlemann's class ran less than 1 mile. Every distance listed is either a fraction or a decimal, which is less than 1 whole.

In order to figure out who ran the farthest, you need to use what you know about fractions and decimals!

A fraction is part of a whole.

You have learned several ways to represent fractions.

For example, look at ^{1}/_{10}:

You can represent a fraction by using a picture, a fraction bar, a number line, or words.

You can also represent this fraction as a decimal!

Look closer at the number line used to show ^{1}/_{10}:

The number line between 0 and 1 is divided into 10 equal parts. Each mark represents ^{1}/_{10}, which is equivalent to 0.1

You continue counting to the right on the number line until you reach the whole number 1.

Let's look at a few more examples:

- What about
^{1}/_{100}?

You could split a shape into 100 equal parts. The shaded part represents ^{1}/_{100} or 0.01:

Ten shaded hundredths is equivalent to one-tenth:

10 | = | 1 | |

100 | 10 | ||

0.10 | = | 0.1 |

0.10 = 0.1

Look at the number line marked by hundredths:

First, look at the green dot. It is at 0.50 or ^{50}/_{100}.

Next, look at the purple dot. It is in between 0.10 and 0.20 which means the green dot represents 0.15 or ^{15}/_{100}.

If the red dot is at 0.60 or ^{60}/_{100}, what is it also equivalent to?

- Are you starting to get the hang of tenths and hundredths?

For another look, watch *Relating Decimals to Fractions- Tenths and Hundredths 4th Grade* from Mr. Alvarez:

Now you are ready to practice your new knowledge!

Click NEXT to move to the* Got It?* section.

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