Decimals: A Comprehensive Guide for Students
Decimals
Numbers and Number Sense
The buttons on each page will take you forward or backward
when you left-click your mouse on them.
By Kathy Russo and Roberta Morse
Martin Luther King Jr. Elementary School
Dear Student,
In this presentation, you will learn
about decimals! You will have the chance to
review decimal concepts. You will also be
able to practice your decimal skills. We
hope you have fun!
Mrs. Russo and Mrs. Morse
Click to see
the Standards Of
Learning objectives
you will cover.
Click to
begin
learning about
decimals.
The student will read, write and
identify the place values of
decimals through ten-thousandths.
SOL Objective 5.1
Next
objective
The student will compare the
value of two decimals through
ten-thousandths using the
symbols
>, <,
or
=
.
SOL Objective 5.2
Begin working with decimals
What is a decimal?
What is a decimal?
A decimal is a part of a whole.
One dollar, 4 dimes, and 3
pennies is written in decimal
form.
Think about money.
$1.43
One dollar is equal to 10 dimes
.
It takes 10 dimes to make 1 dollar,
so a dime is
one-tenth
of a dollar.
One dime is equal to 10 pennies.
It takes 100 pennies
to make a dollar, so
each penny is equal to
one-hundredth
of a
dollar
.
It takes 10 dimes to make 1 dollar,
so a dime is one-tenth of a dollar.
$0.10 = one dime
It takes 100 pennies to make 1
dollar, so a penny is one-hundredth
of a dollar.
$0.01 = one penny
Practice writing these amounts of
money as decimals on a sheet of paper.
71 cents
6 cents
119 cents
215 cents
Click here to
check your
answers.
Money is one way we
use decimals every day,
but decimals are used
for more than just
money.
Decimals are special fractions with certain
multiples of ten in the denominator.
= 0.1
= 0.01
= 0.001
= 0.0001
one tenth
one thousandth
one hundredth
one ten-thousandth
Decimals can also be
shown on the place
value chart.
Everything to the
left
of the decimal
point is a
WHOLE
number.
Everything to the
right
of the decimal
point is
PART
of a
whole.
This shows 14 (fourteen) spiders.
This shows 115 (one hundred fifteen) candy-corns.
Really! Count them.
Remember the dime? It was less than one
whole. It was only a part of 1 whole dollar.
1 dime = $0.10, so we will write it in the tenths
and hundredths place value positions.
$0.10 = 0.1
ten hundredths = one tenth
There are no whole dollars, only part of a whole.
A penny is also only a part of 1 whole dollar.
1 penny = $0.01 since it is one hundredth of a
dollar we will write it in the hundredths place
value position.
A quarter is also less than 1 whole dollar.
1 quarter = $0.25, so we will write it in the
tenths and hundredths place value positions.
one hundred
thirty
3
-
four
4
and
seven ten-thousandths
0 0 0 7
1
Remember, decimals are special fractions
with certain multiples of ten in the
denominator.
= 0.1
= 0.01
= 0.001
= 0.0001
one tenth
one thousandth
one hundredth
one ten-thousandth
Decimals show parts of wholes in
divisions of ten.
Decimals can show parts of wholes in
divisions of hundreds or thousands.
Now practice writing and saying some decimals.
(Write your answers on paper. Then check your work by clicking below.)
What portion of the
square is green?
What portion of the
square is yellow?
Click here
for the
answer.
0.4 (or four tenths) of the square is green.
0.6 (six tenths) of the square is yellow.
(Does this match what you wrote on your paper?)
Click here to hear
the answer.
Click here and try
another one!
0.4
0.6
How many hundredths are red?
How many hundredths are yellow?
Click here to
find out.
32 hundredths are red, 0.32
68 hundredths are yellow, 0.68
Click to hear
the answer.
Click here and try
another one!
How many
thousandths
are purple?
How many
are blue?
Check your
answer here.
Don’t forget to write
your answers down!
872
thousandths
are purple. This
number is written
0.872
128
thousandths
are blue. This
number is written
0.128
Did you check your work?
More
Click this button to hear the numbers.
How many
thousandths
are green?
How many
thousandths
are blue?
Check your
answers here.
44
thousandths
0.044
are green.
956
thousandths
0.956
are blue
.
More
Click this button to hear the numbers.
0.4
0.6
<
Compare these decimals.
four tenths is
LESS THAN
six tenths
four tenths
IS EQUAL TO
forty hundredths
Compare these decimals.
0.4
=
0.40
0.008
eight tenths
is greater than
eight hundredths
eight hundredths
is greater than
eight thousandths
0.8
0.08
>
>
Compare these decimals
using <, >, or =.
A. 0.6 and 0.7
B. 0.39 and 0.3
Check your
answers.
B. 0.39 > 0.3
Click to hear
the answers
.
A. 0.6 < 0.7
0.6
0.7
0.39
0.3
Compare these decimals
using <, >, or =.
C. 0.54 and 0.56
D. 0.20 and 0.2
Check your
answers.
D. 0.20 = 0.2
Click to hear
the answers.
C. 0.54 < 0.56
0.54
0.56
0.20
0.2
Click below to play a
very cool decimal game!
When you are finished, close the Excel window
by clicking on the
x
in the top right hand corner.
Click below to play again, this time
with hundredths and thousandths.
When you are finished, close the Excel window
by clicking on the
x
in the top right hand corner.
For more fun with decimals check out these:
Games:
Virtual Counting Stick
Turtle Races
Web Sites:
See Burly Middle School’s Numeracy Activities. It is full of wonderful
math games!
http://www.numeracyresources.co.uk/
Math Internet Projects
Books:
Patriarca, Linda A., Scheffel, Marilyn, and Hedeman, Sheila.
Decimals:A Place
Value Approach.
Dale Seymour Publications
Burns, Marilyn.
About Teaching Mathematics A K-8 Resource
. Math Solutions Publications
Decimals
Numbers and Number Sense
Written by Kathy Russo and Roberta Morse
Martin Luther King Jr. Elementary School
SOL Objective 5.1
The student will read, write and identify the place values of decimals through
ten-thousandths.
SOL Objective 5.2
The student will compare the value of two decimals through ten-thousandths
using the symbols
>, <,
or
=
.
Credits:
Thank you to Mark Cogan at Burley Middle School for permission to link to his website.
This presentation was created using Microsoft PowerPoint 97.
Graphics from Jasc Paint Shop Pro version 6.02.
Decimal Squares were created using Microsoft Excel 97.
Practice writing these amounts of
money as decimals on a sheet of paper.
71 cents
$0.71
6 cents
$0.06
119 cents
$1.19
215 cents
$2.15
Say:
Decimals, Numbers and number sense
Dive into the world of decimals with a presentation designed to enhance your understanding. Explore the concept of decimals, relate them to real-life scenarios like money, and learn how to read, write, and compare decimal values. Get ready to master decimal skills and engage in fun learning activities that will solidify your knowledge. Join Mrs. Russo and Mrs. Morse on an educational journey that will boost your number sense!
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Presentation Transcript
Decimals Numbers and Number Sense By Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School Bouquet Bouquet The buttons on each page will take you forward or backward when you left-click your mouse on them.
Bouquet Dear Student, In this presentation, you will learn about decimals! You will have the chance to review decimal concepts. You will also be able to practice your decimal skills. We hope you have fun! Mrs. Russo and Mrs. Morse Click to see the Standards Of Learning objectives you will cover. Click to begin learning about decimals. here here here here
SOL Objective 5.1 The student will read, write and identify the place values of decimals through ten-thousandths. Bouquet Next objective Next objective Bouquet
SOL Objective 5.2 The student will compare the value of two decimals through ten-thousandths using the symbols >, <, or =. Bouquet Begin working with decimals Begin working with decimals Bouquet
What is a decimal? A decimal is a part of a whole. Bouquet Bouquet
Think about money. One dollar, 4 dimes, and 3 pennies is written in decimal form. $1.43 Bouquet Bouquet
It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar. One dollar is equal to 10 dimes. Bouquet Bouquet
It takes 100 pennies to make a dollar, so each penny is equal to one-hundredth of a dollar. One dime is equal to 10 pennies. Bouquet Bouquet
It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar. $0.10 = one dime It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar. $0.01 = one penny Bouquet Bouquet
Practice writing these amounts of money as decimals on a sheet of paper. 71 cents Bouquet Click here to check your answers. 6 cents Click here to check your answers. 119 cents 215 cents Bouquet
Money is one way we use decimals every day, but decimals are used for more than just money. Bouquet Bouquet
Bouquet Bouquet Decimals are special fractions with certain multiples of ten in the denominator. 1 1 = 0.01 = 0.1 100 10 one tenth one hundredth 1 1 = 0.0001 = 0.001 , 1 000 10 000 one ten-thousandth , one thousandth
Decimals can also be shown on the place value chart. Bouquet Bouquet
Bouquet Bouquet ten-thousandths thousandths hundredths thousands Everything to the left of the decimal point is a WHOLE number. hundreds tenths Everything to the right of the decimal point is PART of a whole. ones tens
ten-thousandths thousandths hundredths thousands hundreds tenths ones 4 tens 1 This shows 14 (fourteen) spiders. Bouquet Bouquet
ten-thousandths thousandths hundredths thousands hundreds 1 tenths ones 5 tens 1 This shows 115 (one hundred fifteen) candy-corns. Bouquet Bouquet Really! Count them.
Remember the dime? It was less than one whole. It was only a part of 1 whole dollar. 1 dime = $0.10, so we will write it in the tenths and hundredths place value positions. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 1 0 Bouquet Bouquet
$0.10 = 0.1 ten hundredths = one tenth ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 0 tens 1 1 0 There are no whole dollars, only part of a whole. Bouquet Bouquet
A penny is also only a part of 1 whole dollar. 1 penny = $0.01 since it is one hundredth of a dollar we will write it in the hundredths place value position. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 0 1 Bouquet Bouquet
A quarter is also less than 1 whole dollar. 1 quarter = $0.25, so we will write it in the tenths and hundredths place value positions. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 2 5 Bouquet Bouquet
one hundred thirty -four and seven ten-thousandths ten-thousandths thousandths hundredths hundreds 1 tenths 0 0 0 7 ones 4 tens 3 Bouquet Bouquet
Bouquet Bouquet Remember, decimals are special fractions with certain multiples of ten in the denominator. 1 = 0.1 1 = 0.01 100 10 one tenth one hundredth 1 1 = 0.0001 = 0.001 , 1 000 10 000 one ten-thousandth , one thousandth
Decimals show parts of wholes in divisions of ten. tenths one whole Bouquet Bouquet
hundredths thousandths Decimals can show parts of wholes in divisions of hundreds or thousands. Bouquet Bouquet
tenths one hundredths thousandths Bouquet Bouquet
Now practice writing and saying some decimals. (Write your answers on paper. Then check your work by clicking below.) What portion of the square is green? What portion of the square is yellow? Click here for the answer. Bouquet
0.4 (or four tenths) of the square is green. 0.6 (six tenths) of the square is yellow. (Does this match what you wrote on your paper?) 0.4 0.6 Click here to hear the answer. Click here and try another one! Bouquet
How many hundredths are red? Click here to find out. How many hundredths are yellow? Bouquet
32 hundredths are red, 0.32 68 hundredths are yellow, 0.68 Click to hear the answer. Click here and try another one! Bouquet
Bouquet How many thousandths are purple? How many are blue? Don t forget to write your answers down! Check your answer here.
Bouquet 872thousandths are purple. This number is written 0.872 128 thousandths are blue. This number is written 0.128 Did you check your work? Click this button to hear the numbers. More Click this button to hear the numbers.
Bouquet How many thousandths are green? How many thousandths are blue? Check your answers here.
Bouquet 44 thousandths 0.044 are green. 956 thousandths 0.956 are blue. Click this button to hear the numbers. More Click this button to hear the numbers.
Bouquet Bouquet Compare these decimals. 0.4 < 0.6 four tenths is LESS THAN six tenths
Bouquet Bouquet Compare these decimals. 0.4=0.40 four tenths IS EQUAL TO forty hundredths
Bouquet Bouquet eight tenths is greater than eight hundredths eight hundredths is greater than eight thousandths > > 0.8 0.08 0.008
Compare these decimals using <, >, or =. A. 0.6 and 0.7 Trellis Check your answers. Check your answers. B. 0.39 and 0.3 Bouquet
A. 0.6 < 0.7 B. 0.39 > 0.3 0.39 0.6 Click to hear the answers. 20% 0.7 0.3 Bouquet Bouquet
Compare these decimals using <, >, or =. C. 0.54 and 0.56 Trellis Check your answers. Check your answers. D. 0.20 and 0.2 Bouquet
C. 0.54 < 0.56 0.54 D. 0.20 = 0.2 0.20 20% Click to hear the answers. 0.56 0.2 Bouquet Bouquet
Click below to play a very cool decimal game! When you are finished, close the Excel window by clicking on the x in the top right hand corner. Bouquet Bouquet
Click below to play again, this time with hundredths and thousandths. When you are finished, close the Excel window by clicking on the x in the top right hand corner. Bouquet Bouquet
Mor e I deas! For more fun with decimals check out these: Games: Virtual Counting StickTurtle Races Web Sites: See Burly Middle School s Numeracy Activities. It is full of wonderful math games! http://www.numeracyresources.co.uk/ Books: Patriarca, Linda A., Scheffel, Marilyn, and Hedeman, Sheila. Decimals:A Place Value Approach. Dale Seymour Publications Burns, Marilyn. About Teaching Mathematics A K-8 Resource. Math Solutions Publications Math Internet Projects Bouquet Bouquet
Decimals Numbers and Number Sense Written by Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School SOL Objective 5.1 The student will read, write and identify the place values of decimals through ten-thousandths. SOL Objective 5.2 The student will compare the value of two decimals through ten-thousandths using the symbols >, <, or =. Credits: Thank you to Mark Cogan at Burley Middle School for permission to link to his website. This presentation was created using Microsoft PowerPoint 97. Graphics from Jasc Paint Shop Pro version 6.02. Decimal Squares were created using Microsoft Excel 97. Bouquet Bouquet
Practice writing these amounts of money as decimals on a sheet of paper. 71 cents $0.71 6 cents $0.06 $1.19 119 cents $2.15 215 cents Bouquet Bouquet
