   # Tenths and Hundredths

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

## Fractions and Operations

subject
Math
learning style
Kinesthetic, Visual
personality style
Lion, Beaver
Intermediate (3-5)
Lesson Type
Quick Query

## Lesson Plan - Get It!

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:

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 0.1 = 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: