Number and Operations in Base Ten
2
Objective
Writing Numbers in
Different Forms
In order for students to work flexibly with numbers, they need to understand
different representations of numbers, including standard form, expanded form,
and word form. Understanding multiple representations of numbers sets the stage
for multiplication and division of numbers as well as understanding and comparing
fractions and decimals.
Common Core
State Standards
■■ 4.NBT.2 Talk About It
Discuss the Try It! activity.
■■ Ask: How did you show 1,342 using Base Ten Blocks? Have students describe the
blocks they used.
■■ Ask: How did you write 1,342 in standard notation? How did you write it in expanded
notation? Have students compare their Number Forms Recording Sheet (BLM 4).
■■ Ask: How did you know how to separate the different parts of 1,342 when you
wrote it in expanded form? Discuss with students how they separated the number
into thousands, hundreds, tens, and ones.
Solve It
With students, reread the problem. Have students explain in writing the four ways
that Mr. Mancetti’s students could represent the number 1,342. Say: The next day, a
group had to represent the number 2,511 four ways. Have students complete a new
copy of the Number Forms Recording Sheet for 2,511.
More Ideas
For other ways to teach about modeling and writing numbers—
■■ Establish a learning center with Base Ten Blocks. Have students take turns working
at the center in pairs to play a game with blocks. One student will say a four-digit
number. Then the other student builds the number with blocks.
■■ Use Cuisenaire® Rods to model different numbers, and have students write the
numbers in the three different forms.
Formative Assessment
Have students try the following problem.
Which shows the word form of 5,892?
A.Five thousand, eight hundred ninety
B. Five thousand, eight hundred two
42
C. Five thousand, eight hundred ninety-two
D.Five hundred, nine hundred eighty-two
Try It!
30 minutes | Groups of 6
Here is a problem about modeling, reading, and writing one- through
four-digit numbers in various forms.
Introduce the problem. Then have students do the
activity to solve the problem. Distribute Base Ten
Blocks, a Number Forms Recording Sheet (BLM 4),
paper, and pencils to students. Introduce and define
the terms standard notation, expanded notation,
and word form, and give students examples of the
three number forms for one-, two-, three-, and fourdigit numbers.
1. Ask groups to use blocks to show 1,342.
Then have students draw the blocks used to
model the number and write the number in
standard form on their recording sheets.
Materials
• Base Ten Blocks (1 cube, 10 flats,
10 rods, and 10 units per group)
• Number Forms Recording Sheet
(BLM 4; 1 per student)
• paper (1 sheet per student)
• pencils (1 per student)
Number and Operations in Base Ten
Mr. Mancetti’s class is putting on math skits to represent a number every day.
Each group of students has to represent a number in at least four different
ways. Today it is time for a group to represent the number 1,342. How could
the group represent the number in four ways?
2. Review expanded notation with students.
Then ask students to write 1,342 on their
recording sheets in expanded notation. Tell
students that they can look at their blocks to
help them.
Watch for students who insert and into
their word form for a whole number, such as
“one thousand, three hundred, and forty-two.”
Remind students that and is used for a portion
(decimal) of a number.
3. Remind students that they also can write out
numbers by using words. Ask groups to write
1,342 in word form on their recording sheets.
43
Lesson
2
Number and Operations in Base Ten
Name Answer Key
Use Base Ten Blocks to build each number. Write the number
in expanded form and standard form. (Check students’ work.)
2
.
1
.
1,000
200
30
5
______
+ ______
+ _____
+ _____
1,000
0
70
8
______
+ ______
+ _____
+ _____
1,078
______________
1,235
______________
Build the number using Base Ten Blocks. Then sketch the model for the
number. Write the number in standard form. (Check students’ models.)
3
. six thousand, three hundred twenty-one
6,321
__________________
Write each number in the forms named.
4
. 3,805 5
. 9,268
3,000
800
0
5
expanded form _________
+ _________
+ _________
+ _________
three thousand, eight hundred five
word form ________________________________________________
9,000
200
60
8
expanded form _________
+ _________
+ _________
+ _________
nine thousand, two hundred sixty-eight
word form ________________________________________________
44
1,000
700
50
3
expanded form _________
+ _________
+ _________
+ _________
1,753
standard form __________________
Hands-On Standards, Common Core Edition
Download student pages at hand2mind.com/hosstudent.
© ETA hand2mind™
6
. one thousand, seven hundred fifty-three
Name Key
Answer
Challenge! Explain why you write a 0 in a place value while
changing a number given as words into a number written in
standard form. Draw a model to help.
Challenge: (Sample) When the word form of a number does not include a word for
each place, one of the place values will have a 0 in it. An example: if the
number is greater than one thousand and the word hundred is missing, then there
is a 0 in the hundreds place when the number is written in standard form.
© ETA hand2mind™
Download student pages at hand2mind.com/hosstudent.
Hands-On Standards, Common Core Edition
45
Lesson
2
Number and Operations in Base Ten
Name Use Base Ten Blocks to build each number. Write the number
in expanded form and standard form.
2
.
1
.
______ + ______ + _____ + _____
______________
______ + ______ + _____ + _____
______________
Build the number using Base Ten Blocks. Then sketch the model for the
number. Write the number in standard form.
3
. six thousand, three hundred twenty-one
__________________
Write each number in the forms named.
4
. 3,805 5
. 9,268
expanded form _________ + _________ + _________ + _________
word form ________________________________________________
expanded form _________ + _________ + _________ + _________
word form ________________________________________________
44
expanded form _________ + _________ + _________ + _________
standard form __________________
Hands-On Standards, Common Core Edition
www.hand2mind.com
© ETA hand2mind™
6
. one thousand, seven hundred fifty-three
Name Challenge! Explain why you write a 0 in a place value while
changing a number given as words into a number written in
standard form. Draw a model to help.
© ETA hand2mind™
www.hand2mind.com
Hands-On Standards, Common Core Edition
45
BL M
Name
Standard Form
Word Form
Expanded Form
Number Forms Recording Sheet
Drawing
4
© ETA hand2mind™
BLM 4 Number Forms Recording Sheet
151