Understanding decimals for kids: 3 Ways to Teach Decimals

Posted on 5 августа, 2023 by alexxlab

Decimals to Fractions Song | Decimal Notation

Numberock’s Decimals to Fractions Song will teach your 4th Graders how to connect decimals to fractions while providing the foundation for understanding decimal place value and further fractional relationships, which they will likely be exposed to in 5th Grade and beyond.

When this concept is mastered, your students should be able to understand that a decimal such as 0.7, for example, can also be represented by the fraction 7/10 and vice versa. Students in 4th Grade are suggested to be able to understand decimal to fraction relationships by moving to the right of the decimal point as much as two places, ie, the tenths and hundredths place.

It’s also important to understand that any number can be represented in decimal notation. Think about how even a whole number such as 25, for example, can be represented as a decimal. 25.00 and 25.0 are examples of how the number 25 can be represented as a decimal, despite its whole number status. We actually see this example all the time in our daily activities when it comes to representing values of money. Oftentimes, a whole number value of money, such as $25, is represented in decimal notation as $25.00.

Grades Targeted | 4th Grade

Decimals to Fractions Lyrics

Verse 1
If you split the number one into ten parts,
that’s where the decimal place values start.
They’re 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 it’s decimal equivalent.
Fractions over ten, one hundred, one thousand and on,
are all decimal numbers — it’s a phenomenon.

Prechorus 1
Decimals are fractions, just with different names.
They each have a value that’s exactly the same.

Chorus
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.

Verse 2
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 one’s place.

Prechorus 2
When any denominator is a power of ten,
that fraction can be written as its decimal equivalent.

Bridge (rap)
We’ve got the tenths, the hundredths, and more…
Let’s imagine a number line to further explore.
You see, there’s a special land 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.

Learn More

Would you like to extend this lesson with teaching ideas off of our Numberock platform? If so, we recommend this fun Decimals to Fractions activity, which will allow your students to get hands in order to better master this 4th Grade concept.

This video aligns to a 4th Grade Common Core learning standard; 4.NF.6. Go deeper by following the link at the end of this sentence to read the exact language of this standard and better understand the requirements of 4.NF.6.

Or continue browsing Numberock’s math video content library to discover more engaging math songs. To gain access to Numberock’s growing library of premium content, click here.

40 Decimal Activities | Free | Hands On

Number Sense-Decimals

May 16, 2022May 16, 2022

Fun Decimal Activities

Learning decimals, and converting decimals to fractions can be a scary concept for students. I mean, learning 3/8 as a decimal or 1/6 as a decimal means you are in real-deal math now. None of this easy addition and subtraction stuff.

Converting fractions to decimals and decimals to fractions are necessary life skills though. And must be learned. But, no worries. This list of fun decimal activities starts with easy decimal activities and then moves on to multiplication and division of decimals.

So, I’ve gathered the best hands on and fun decimal activities for elementary students.

Your children will love these engaging decimal activities. They are designed to strengthen students understanding of decimals as they add, subtract, multiply, and divide them.

As always, don’t forget to check out my assortment of activities on TeachersPayTeachers.

Fun Ways to Teach Decimals

It may be tempting to just jump in and starting adding and subtracting decimals, but I highly suggest a little time of exploration first. These decimal activities are a great place to start.

First, let children play with base ten blocks, draw, color, and create number lines using decimals. These hands on decimal activities will give a multisensory learning experience.

All of these easy decimal activities will lay a strong foundation for the harder work to come.

You will be glad you took the time to do it!

FREE Digital Activity For Representing Decimals With Base Ten Blocks
Free Cut and Paste Decimal Place Value Worksheets (Expanded Form)
FREE Printable and Low-Prep Fraction To Decimal Game
16 Task Cards To Practice Modeling Decimals on Number Lines and Decimal Grids
3 Hands-On Decimal Place Value Worksheets
2 No-Prep Decimal Games to Introduce Modeling Decimals
Decimal of The Day – A FREE printable to Review Decimals Daily

Fun Activities for Adding Decimals

Now it is time for a little adding. Once again it is essential that children get to see how adding decimals works before they work out problems. I love using base ten blocks, but if that doesn’t work for a child, number lines or decimal grids may provide the needed support!

Teaching Decimals | FREE PDF Activities and Worksheets
FREE Adding and Subtracting Decimal Worksheet

Subtracting Decimals

Next, we move into subtracting decimals. Subtraction tends to be so much harder for our little ones, and they will need lots of hands-on experience.

Subtracting Decimals Word Problems | Printable | Free
FREE Adding and Subtracting Decimal Worksheet
FREE Subtracting Decimals Activity With Base Ten Blocks
FREE Decimal Addition and Subtraction Worksheets Using Decimal Grids
FREE No-Prep Adding and Subtracting Decimal Game
Practice Addition and Subtraction Of Decimals With This Hands-On Activity

Multiplying Decimals

Ahhhh, the challenges of multiplying decimals. And the all-time favorite, where does that decimal go?

I know our big kiddos like to just jump in and solve, but getting them in the habit of estimating first is a huge step. If they estimate correctly, they will know where that tricky little decimal should be.

Check out these multiplying decimal activities.

Decimal Assessment | Free Printable | Task Cards
Multiplying Decimals | Multiplying 10 vs .10 | Free Printable | Interactive Notebook
FREE Interactive Notebook To Teach Lattice Method with Decimals
How to Model Multiplying Decimals With Arrays (Free Printable)
FREE Puzzles For a Fun Multiplying Decimals Activity
FREE No-Prep Spring Time Game For Multiplying Decimals and Whole Numbers
FREE Bright and Fun Task Cards To Multiply Decimals with Models
FREE Multiplying Decimals Activity (Christmas Tree Puzzles)
FREE Multiplying Decimals and Whole Numbers Coloring Worksheet
FREE Visual Worksheet For Multiplying Decimals by Whole Numbers
Grab Your Free Two Step Word Problems with a Patriotic Theme
Multiplying by Powers of 10 | Free Game | Decimals

Dividing Decimals Activities

Finally, we get to dividing decimals.

Free Game For Dividing Whole Numbers by Decimals
FREE Valentine’s Day Dividing Whole Numbers by Decimals Worksheet
Grab Your Free Two Step Word Problems with a Patriotic Theme

I hope you and your students enjoy these. You’ve got this!

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#3 — 5 free printables#k — 2 free printables

Math lesson in 5th grade. The concept of decimal fraction. Reading and writing decimal fractions indicating the ESM «

_______________ The concept of a decimal fraction. Reading and writing decimal fractions indicating ESM . _____________________

900 18

Position

9001 8

Grade

	full name	Karsuntseva Svetlana Aleksandrovna
	Place of work	Syzran
	Mathematics teacher 0019 Subject	mathematics
	5
	900 19 Topic and lesson number in the topic	The concept of decimal fraction. Reading and writing decimals. Counting lesson 110, in the topic decimal fractions — 1
	Basic textbook	Mathematics. Grade 5: textbook. for general education institutions / I. I. Zubareva, A. G. Mordkovich. — 12th ed., ster. — M.: Mnemosyne, 2012

Subject: — the student will know: the definition of a decimal fraction; the rule for writing an ordinary fraction or a mixed number, in the denominator of which is a multiple of ten, as a decimal fraction. — the student will be able to: represent an ordinary fraction or a mixed number, in the denominator of which is a multiple of ten, as a decimal fraction.

Meta-subject: Continue the formation of the following universal learning activities: regulatory, communicative, cognitive.

Lesson steps Stage tasks	Teacher activities	Student activities	UUD
Lesson steps Stage tasks	Teacher activities	Student activities	90 004 Regulatory	Cognitive	Communicative	Personal
Organizational moment	Greeting, checking readiness for the lesson, organizing the attention of children. Let’s write the number in the workbook.	Included in the business rhythm of the lesson			Ability to listen	Ability to highlight the moral aspect of behavior
Updating knowledge and skills		Updating basic knowledge and methods of action	Your worksheet is filled with numbers. Divide them into 2 groups 5 , 3 , 12 , What interesting things did you notice ? On what basis did you divide into groups? What are the denominators in fractions?	Numbers are divided into groups in notebooks. Explain the pattern seen in the denominators of the fractions presented.	Speaking out the sequence of actions in the lesson	Transforming information from one form to another	Forming your thoughts orally.	Planning educational cooperation with classmates.
Goal setting and motivation		Ensuring that children are motivated to learn and accept the objectives of the lesson	Problem situation What did you notice interesting? What fractions do you think we will work with today? Think, how can you name fractions whose denominators consist of tens? Do you want to get acquainted with the name of these fractions? And how can they be written? What is the purpose of our lesson?	They are interested in how such fractions can be called. They want to get acquainted with the name and notation of such fractions.		orientation in one’s knowledge system: distinguishing between the new and the already known with the help of a teacher.	formulating your thoughts orally	Establishing a connection between the purpose of an activity and its motive
Assimilation of new knowledge and methods of assimilation	http://fcior. edu.ru/card/5822/desyatichnaya-zapis-drobnyh -chisel-i1. html http://fcior.edu.ru/card/7872/predstavlenie-obyknovennoy-drobi-v-vide-desyatichnoy-zapis-razryadnyh-slagaemyh-desyatichnoy-drobi-k.html	Ensuring perception, comprehension and primary memorization by children of the topic being studied: definitions of a mixed number	Definition of decimal fractions , multiple of ten ? Suggest a name for the topic of our lesson? Write down the topic of the lesson in the workbook. Decimals. Introduces lesson plan What fractions can be called decimal ? And now get acquainted with the proposed text and decimal notation rule. Have you read it? Now say please, is the decimal a new kind of number? This is a new way to write ? Well done ! It’s just a new way of writing a number. Writing decimals 5 = 5. 12 Now let’s practice writing decimals by ear. Offers to write down an ordinary fraction and a decimal equal to it. So, one by one, please come to the blackboard. The next numbers are 1 = 1.67; = 0.41; 34 = 34.6; 197 = 197.007; = 0.54; = 0.0028 ; 5 = 5.017. (7 students each write the same number on the blackboard) Tell me, please, have you ever met such a record before in your life? Listens to children. And now, to consolidate our new knowledge, let’s turn to the textbook material for visual perception. On page 183 in issue 650 (a), let’s practice writing decimal fractions. Who wants to work at the blackboard? Calls two students to the board. And now let’s compare our results with those who worked at the blackboard, put marks.	Suggest a topic Receive a flow chart of the lesson and discuss it. They offer their own definition of a decimal fraction. They read the text he proposed with the concept of a decimal fraction and decimal notation. Write down in notebooks. Possible answers of children — in the store on the price tags of goods there is a record of the mass of goods, on dairy products they indicate fat content in the form of a decimal fraction, etc. Open textbooks. Two students work on the blackboard, and the rest in notebooks. Perform exercises. Give grades.	work according to a collective plan.	Acquisition of new knowledge: finding answers to questions using a textbook, your own life experience and information received in the lesson	formulating your thoughts orally; the ability to listen and understand the speech of others	Patience and accuracy when writing decimal fractions in notebooks.
Organization of primary control		Identification of the quality and level of assimilation of knowledge and methods of action, as well as identification of shortcomings in knowledge and methods of action, establishing the causes of identified shortcomings	Independent work What is the next stage of our lesson? To form the ability to write an ordinary fraction in the form of a decimal. What is the purpose of independent work? Learn to solve educational and practical problems of different levels. Describes task levels and prompts students to remember how they are graded. Prompts you to select a task level. Now take the papers on the edge of the table and use them to do a little independent work. Option I (Basic level) From the suggested fractions write down only those that can be written in decimal form ; 52; ; 3; ; 61; ; 83 . 2 (Baseline) Write as a decimal : ; ; 56; ; 7; 1206. 3 (Enhanced) In the cafeteria of the cinema at the morning session of the cartoon, all portions of ice cream were sold, and at the afternoon session, all portions were sold. What part of the ice cream was left for sale at the evening session? Write your answer as a decimal fraction. Option II (Basic level) Of the proposed fractions, write down only those that can be written in decimal form ; 74; ; 71; ; 63; ; 96 . 2 (Base level) Write as a decimal : ; ; 6; ;5 ; 3461. 3 (Higher level) Wallpaper was purchased to renovate a three-room apartment. It took all the wallpaper for the children’s room, and everyone for the living room. What part of the wallpaper is left for the bedroom? Write your answer as a decimal fraction. Guys, let’s change jobs, check it and put marks for the work.	The stage of the lesson and goals are determined from the technological map. Apply knowledge in practice List the assessment criteria. Perform tasks on sheets. They check their answers, give themselves grades, and then carry out mutual assessment (assessment criteria on each sheet).	pronunciation sequence of actions in the lesson	conscious application of acquired knowledge in practice	Formation of one’s thoughts in oral and written form; the ability to listen and understand the speech of others	Moral and ethical assessment of digestible content.
Summing up the lesson		Give a qualitative assessment of the work of the class and individual students	What did you learn at the lesson today? Who wants to formulate the definition of decimal numbers. Let’s formulate the definition of decimal numbers in unison.	Answer questions.
Homework information	90 023	Ensuring children understand the purpose, content and methods of doing homework	No. 649 (b), No. 650 (b, d), 654. Explains the execution of numbers.	Open diaries, write down homework, ask questions.
Reflection		Initiate children’s reflection on their own activities and interactions with the teacher and other children in the class	Let’s sum up our work. Do you remember what goal we set at the beginning of the lesson? Do you think we have achieved our goals? Now evaluate your activity in the lesson. Answer the questions provided. By the next lesson, I’ll match your grade with mine. Let’s discuss the results.	Conduct reflection on the algorithm. Answer questions and conduct self-assessment according to criteria. Give to the teacher.	assessment of the correctness and performance of an action at the level of an adequate retrospective assessment.	Ability to self-assessment based on the criterion of success in educational activities.	presentation of one’s thoughts orally and in writing; ability to listen and understand the speech of others0014	Planning educational cooperation with the teacher and classmates.

What is the difference between ordinary and decimal fraction in simple words, or the nature of decimal fraction

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Referring to the experience of teaching children at SpeakOk, as well as the specifics of teaching in modern schools, we decided to help young parents and your children explain a simple, but today very incomprehensible and abstruse terminology topic for modern schoolchildren — a decimal fraction.
And your children can be understood, because instead of a clear and visual explanation, such abstruse terms as “ranks”, “natural numbers”, “numerator”, “denominator” often fly in them — often without explaining to children the very meaning of these terms, believing that they should know this for granted.
Therefore, our tutoring center decided especially for you to explain in this article the nature of ordinary and decimal fractions.

The meaning of the decimal fraction

Before proceeding to the explanation of the decimal fraction, we want to remind you of the basic meaning and concept of the fraction as such, to provide your view of the types of fractions, and of course, «without problems» to point out the difference between them.
So, what is a fraction — this is a type of number in mathematics indicating a part of a whole (a piece of something), or an indicator of a whole number with its conditional «piece» of the remainder.
For example — let’s say we have a watermelon, which we divide with you into 6 pieces. And we take with you one of these pieces, that is, one of six

Then we will write this fraction as 1/6.

If we take four pieces of this watermelon with you, then we will get a fraction 4/6. This is what concerns the most fractional number.

Now let’s say that we took 4 whole watermelons with you, and one more of the eight pieces into which we divided the fifth watermelon:
Then the resulting number will look like 4 1/8 (four whole one-eighth), where our fraction is 1/ 8 this is our fractional remainder. We hope this is clear)
Let’s move on to the forms of writing a number. So in modern mathematics there are two main forms of writing fractions:

the usual form (ordinary fraction) — 1/2 or a / b where a and b are some numbers
decimal view (decimal fraction) — 0.5 (read as five tenths).

In an ordinary fraction, the dividend is always written above the line (the number that is divided by something) — this number is called the numerator, and under the line we place the divisor (the number by which we divide) — the denominator bearing the proud name, while the line between numbers in mathematical essence means division.

Thus, we smoothly bring you to the mathematical meaning of the decimal fraction. As you know, we write integers as some number, let’s say 5, while if we are asked to write an integer as a fraction, we will write it as 5/1.
It is worth noting that, according to its specifics, in a decimal fraction, the denominator is always equal to 10, 100, 1000, 10000, etc. From this we can observe that a decimal fraction is what is obtained if we divide the numerator by the denominator, in which the comma acts as a conditional separator line to separate the integer part from the fractional, in which the numbers before the decimal point indicate the number of integers, and the numbers after the decimal point display the fractional remainder. Like this:

0.2 (two tenths)
7.53 (seven point fifty-three hundredths)
2.573 (two point five hundred and seventy-three thousandths)
And so on

denominator of a fraction as above.
Next, we will highlight with you two subspecies of the decimal fraction:

The final decimal fraction is a kind of decimal fraction in which the number of digits after the decimal point has a strictly defined number.

Infinite decimal — the case when the number of decimal places will be repeated an infinite number of times.

Properties of decimal fractions

The main property of a decimal fraction is that if there are a certain number of zeros at the end of the number, its value will not change. Which allows us to discard them if they are present, or if they are absent, if we are faced with the goal of increasing the rank of the fraction, we can simply add them. For example:

0.700 = 0.7
72.30500000 = 72.305
For the first time in power, we can beat you up on the sides.

From here we will assume that ordinary and decimal fractions are “bosom friends” and here is the relationship between them:

The integer part of a decimal fraction is equal to the integer part of an ordinary fraction. If the numerator is less than the denominator as a result of splitting the fraction, the integer part is equal to zero.