Enjoy any 5 free lessons!
You can pick. No account needed.
Watch VideoBecome a member to get full access to our entire library of learning videos, reading material, quiz games, simple DIY activities & more.
Become a member to get full access to our entire library of learning videos, quiz games, & more.
Plans & Pricingto watch this full video.
Access All Videos
and Lessons, No Limits.
Access All Videos
No credit card required,
takes 7 sec to signup.
No card required
Readytogo lessons
that save you time.
Readytogo lessons
If you are on a school computer or network, ask your tech person to whitelist these URLs:
*.wistia.com, fast.wistia.com, fast.wistia.net, embedwistiaa.akamaihd.net
Sometimes a simple refresh solves this issue. If you need further help, contact us.
Introduction to Decimals (Tenths & Hundredths)
 Show lesson plan & teacher guide
 Show answers to discussion questions
 Show video only
 Allow visiting of other pages
 Hide assessments
 That decimals represent fractions.
 We can compare decimals using symbols like greater than, less than and the equals sign.
 That this knowledge can help us take care of pets, make cheesy bread and even run an obstacle course!

Discussion Questions

Before VideoHow do you compare 347 to 329?ANSWER

First, I look at the hundreds place. Both numbers have the digit 3 in the hundreds place. So I look at the tens place. There is a 4 in the tens place in 347. There is a 2 in the tens place in 329. 4 is greater than 2, so 347 is greater than 329.

I can divide the square into 10 equal parts and shade 7 parts.
ANSWER
The whole number part of each mixed number is the same. The denominators in the fractions are the same, so we can compare the numerators. 7 is greater than 3, so [ggfrac]7/10[/ggfrac] is greater than [ggfrac]3/10[/ggfrac].1 [ggfrac]7/10[/ggfrac] is greater than 1 [ggfrac]3/10[/ggfrac]. 1 [ggfrac]7/10[/ggfrac] > 1 [ggfrac]3/10[/ggfrac]
ANSWER
I could shade 54 of the 100 grid squares.

The whole number part of each mixed number is the same. The denominators in the fractions are the same, so we compare the numerators. 41 is greater than 39 so [ggfrac]41/100[/ggfrac] is greater than [ggfrac]39/100[/ggfrac]. 12[ggfrac]41/100[/ggfrac] is greater than 12[ggfrac]39/100[/ggfrac]. 12 [ggfrac]41/100[/ggfrac] > 12 [ggfrac]39/100[/ggfrac]


After VideoDraw a picture to represent 0.6. ANSWER

A shape divided into 10 equal parts with 6 parts shaded.

Both the digit 2 and the digit 4 are in the tenths place. 4 is greater than 2, so 4 tenths is greater than 2 tenths. 0.4 > 0.2

A shape divided into 100 equal parts with 7 parts shaded.

First, I compare the digit in the tenths place. Both numbers have the digit 7 in the tenths place. So I compare the digits in the hundredths place. 0.78 has the digit 8 in the hundredths place. 0.73 has the digit 3 in the hundredths place. 8 hundredths is greater than 3 hundredths. 0.78 is greater than 0.73.

Jason is not correct. 0.3 is equal to 0.30. Now compare 0.09 and 0.30. 30 hundredths is greater than 9 hundredths, so 0.30 is greater than 0.09. 0.3 > 0.09



Vocabulary

Decimal
DEFINE
A number whose whole number part is separated from the fractional part by a decimal point. The digits following the decimal point show a value that is less than 1.

Place value
DEFINE
The value of a digit based on its position in a number.

Digit
DEFINE
A symbol used to make a numeral. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are the 10 digits we use in our number system.

Tenth
DEFINE
The tenths place shows the number of equal pieces out of 10.

Decimal point
DEFINE
A dot that is used to separate the ones place from the tenths place.

Less than
DEFINE
Shows that one value is less than another. The less than symbol (<) is used to show this relationship.

Greater than
DEFINE
Shows that one value is greater than another. The greater than symbol (>) is used to show this relationship.

Hundredth
DEFINE
The hundredths place shows the number of equal pieces out of 100.

Decimal
DEFINE

Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS INTRODUCTION TO DECIMALS (TENTHS & HUNDREDTHS)?Decimal notation is an easy way to represent fractions with denominators of 10 or 100. Solving problems using decimal numbers can be much easier than solving those same problems using fractions.
To better understand decimals…
WHAT IS INTRODUCTION TO DECIMALS (TENTHS & HUNDREDTHS)?. Decimal notation is an easy way to represent fractions with denominators of 10 or 100. Solving problems using decimal numbers can be much easier than solving those same problems using fractions. To better understand decimals…LET’S BREAK IT DOWN!
Cheesy Bread
Let’s say you want to make cheesy sticks for a party and you need 12 [ggfrac]3/10[/ggfrac] loaves of bread. You can represent that number with a decimal. You know how to write 12 with a 1 in the tens place and a 2 in the ones place. You can put a decimal point after the 2 in the ones place. The next place to the right is the tenths place. You can write 3 in the tenths place to represent 0.3. 12.3 is 12 310 written as a decimal. Try this one yourself. To double the cheesy stick recipe, you need 24 [ggfrac]6/10[/ggfrac] loaves of bread. How can you represent that number with a decimal?
Cheesy Bread Let’s say you want to make cheesy sticks for a party and you need 12 [ggfrac]3/10[/ggfrac] loaves of bread. You can represent that number with a decimal. You know how to write 12 with a 1 in the tens place and a 2 in the ones place. You can put a decimal point after the 2 in the ones place. The next place to the right is the tenths place. You can write 3 in the tenths place to represent 0.3. 12.3 is 12 310 written as a decimal. Try this one yourself. To double the cheesy stick recipe, you need 24 [ggfrac]6/10[/ggfrac] loaves of bread. How can you represent that number with a decimal?Pet Mice
Let’s say you want to compare the weights of your two pet mice. One mouse weighs 129.3 grams. The second mouse weighs 129.5 grams. You can use place value to compare those two numbers. Start at the greatest place to compare. Both numbers have 1 in the hundreds place, 2 in the tens place, and 9 in the ones place. To find which number is greater, compare the digits in the tenths place. 5 tenths is greater than 3 tenths, so 129.5 grams is greater than 129.3 grams. Try this one yourself. One of April's pet mice weighs 127.4 grams. The other mouse weighs 127.1 grams. Which mouse is the heaviest?
Pet Mice Let’s say you want to compare the weights of your two pet mice. One mouse weighs 129.3 grams. The second mouse weighs 129.5 grams. You can use place value to compare those two numbers. Start at the greatest place to compare. Both numbers have 1 in the hundreds place, 2 in the tens place, and 9 in the ones place. To find which number is greater, compare the digits in the tenths place. 5 tenths is greater than 3 tenths, so 129.5 grams is greater than 129.3 grams. Try this one yourself. One of April's pet mice weighs 127.4 grams. The other mouse weighs 127.1 grams. Which mouse is the heaviest?CupStacking
Let’s say you and your friend enter a cupstacking contest. It takes you 9.04 seconds to stack the cups. It takes your friend 9.26 seconds to stack the cups. Who won the contest? First we compare the ones. 9 = 9, so we compare the tenths: 0 < 2. So, 9.04 < 9.26. You took less time, so you won the contest. Try this one yourself. It took April 10.53 seconds to stack the cups. It took Marcos 10.06 seconds to stack the cups. Who took the least amount of time to stack the cups?
CupStacking Let’s say you and your friend enter a cupstacking contest. It takes you 9.04 seconds to stack the cups. It takes your friend 9.26 seconds to stack the cups. Who won the contest? First we compare the ones. 9 = 9, so we compare the tenths: 0 < 2. So, 9.04 < 9.26. You took less time, so you won the contest. Try this one yourself. It took April 10.53 seconds to stack the cups. It took Marcos 10.06 seconds to stack the cups. Who took the least amount of time to stack the cups?Obstacle Course
Let’s say Jill and Niko run an obstacle course. The record at the course is 16.3 seconds. Jill ran the course in 16.37 seconds. 16.3 has 0 hundredths. 16.37 has 7 hundredths. So, 16.37 > 16.3. Jill did not break the record. Niko runs the course in 16.29 seconds. 16.29 has 2 tenths, which is less than 3 tenths. 16.29 < 16.3. Niko broke the record. Try this one yourself. Another course has a record time of 14.02 seconds. You ran that course in 14.2 seconds. Did you break the record?
Obstacle Course Let’s say Jill and Niko run an obstacle course. The record at the course is 16.3 seconds. Jill ran the course in 16.37 seconds. 16.3 has 0 hundredths. 16.37 has 7 hundredths. So, 16.37 > 16.3. Jill did not break the record. Niko runs the course in 16.29 seconds. 16.29 has 2 tenths, which is less than 3 tenths. 16.29 < 16.3. Niko broke the record. Try this one yourself. Another course has a record time of 14.02 seconds. You ran that course in 14.2 seconds. Did you break the record? 
Practice Word Problems

Practice Number Problems

Teacher Resources
Create Free Account To Unlock 
Teacher Resources
These downloadable teacher resources can help you create a full lesson around the video. These PDFs incorporate using class discussion questions, vocabulary lists, printable math worksheets, quizzes, games, and more.
Select a Google Form
Choose a way to play this quiz game

Questions appear on the teacher's screen. Students answer on their own devices.
Start a Free Trial Today. Get a $5 Amazon Gift Card!
Teachers! Start a free trial & we'll send your gift card within 1 day. Only cards left. Try it now.
This email is associated with a Science Kit subscription. Kit subscriptions are managed on this separate page: Manage Subscription

Science & Math$_{/yr}

Science Only$_{/yr}
120 centimeters = __ meters?
Explain how you know when to multiply and when to divide when converting between larger and smaller units.
Kaylib says that 48 ounces equals 4 pounds. Find and correct his error.
access all lessons
• No credit card required •
"My students loved the videos. I started the video subscription in May and used them as a review before the state test, which I know contributed to 100% of my class passing the state test."
Rhonda Fox 4th Grade Teacher, Ocala, Florida• No credit card required •
"My students loved the videos. I started the video subscription in May and used them as a review before the state test, which I know contributed to 100% of my class passing the state test."
Rhonda Fox 4th Grade Teacher, Ocala, Florida• No credit card required •
Already a member? Sign In
* no credit card required *
* no credit card required *
* no credit card required *
no credit card required
Skip, I will use a 3 day free trial
Enjoy your free 30 days trial

Unlimited access to our full library
of videos & lessons for grades K5. 
You won’t be billed unless you keep your
account open past your 14day free trial. 
You can cancel anytime in 1 click on the
manage account page or by emailing us.

Unlimited access to our full library of videos & lessons for grades K5.

You won't be billed unless you keep your account open past 14 days.

You can cancel anytime in 1click on the manage account page.
Cancel anytime in 1click on the manage account page before the trial ends and you won't be charged.
Otherwise you will pay just $10 CAD/month for the service as long as your account is open.
Cancel anytime on the manage account page in 1click and you won't be charged.
Otherwise you will pay $10 CAD/month for the service as long as your account is open.
We just sent you a confirmation email. Enjoy!
DonePlease login or join.