F
Student Book
SERIES
Name _____________________________________
Reading and Understanding
Whole Numbers
Series F – Reading and
Understanding Whole Numbers
Contents
Topic 1 – Looking at whole numbers (p. 1 - 8)
Date completed
read and write numbers to 999,999 _______________________
/
/
order numbers to 999,999 ______________________________
/
/
create and compare numbers ____________________________
/
/
apply ________________________________
/
/
apply ___________________________
/
/
____________________________________
/
/
place value to 4 digits __________________________________
/
/
place value to 6 digits __________________________________
/
/
place value mastermind – apply __________________________
/
/
who am I? – solve _____________________________________
/
/
round to a power of ten ________________________________
/
/
_____________________________________________
/
/
__________________________________________
/
/
solve _____________________
/
/
apply _______________________________
/
/
Topic 2 – Place value of whole numbers (p. 9 - 16)
!"#$%&
Series Authors:
Rachel Flenley
Nicola Herringer
Copyright ©
Looking at whole numbers – read and write numbers to 999,999
We read and write numbers in the order that we say them.
1
2
3
Thousands
6
Hundreds
"
six thousand
seven hundred
Tens
1
Ones
5
'=
Express the following in numerals:
a four thousand three hundred sixty two
_______________
b three hundred twenty four
_______________
c eight thousand nine hundred three
_______________
d four thousand eight hundred forty one
_______________
e seven hundred three
_______________
f '*+
_______________
Write the following in words:
a 5,816
_____________________________________________________________________________
b
915
_____________________________________________________________________________
c 8,466
_____________________________________________________________________________
d
254
_____________________________________________________________________________
e "03!7
_____________________________________________________________________________
f 2,598
_____________________________________________________________________________
Match the numerals with the words:
4 ,639
six thousand seven hundred ninety
$0";<
one thousand three
8,341
four thousand six hundred thirty nine
!0;;
two thousand seven hundred nine
30"<;
eight thousand three hundred forty one
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
1
SERIES
TOPIC
1
Looking at whole numbers – read and write numbers to 999,999
We read and write large numbers in groups of three.
321
4,321
54,321
654,321
BD+
=E+E
4
These numbers have been grouped incorrectly. Re-group the numbers and read the new numbers out
loud to a friend. Ask them to check your grouping. Are you correct?
a 730"R
b 65,89
c 856,21
d 33333
e 7%0;<!$
f 4514,2
Did you
know?
5
a >3;@
EE*@+FD
word khilioi, and it means thousand.
GHE*
J
+";@
>";0;;;0!0;;;!D
B
D
@K
$
grams
b 4 kilograms
c >33@
$
d 8 kilometres
6
2
metres
Are the following statements true or false?
a >3@M>03;;
True / False
b Q*+M"%0$;
True / False
c Q*+M3"%0;<
True / False
d >7!@M>7!0;;;
True / False
e M$;;0R;$
True / False
f S=M7073;
True / False
F
1
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
Looking at whole numbers – order numbers to 999,999
BE0
V*
+
B
K 30;<0;3<0<3;30;<
1
2
3
Circle the larger number:
a
R0%%UR0%;
b
5,492 / 5,692
c
!"0;!7U!"0!7;
d
<0R%;UR0<<<
e
4,815 / 4,518
f
25,194 / 25,941
g
"3RU"0;3R
h
R"0!7RUR"0!77
Insert > (greater than) or < (less than) to make each statement true.
a
6,482
6,681
b
9,452
<03;
c
84,945
R70!;7
d
1,999
$0;;<
e
1,469
1,649
f
"70!3
"0!73
g
<%0;7%
<!07;%
h
"0R!<
"0R!7
Arrange the following numbers in ascending order:
%30R$"0%3R0%7"0!!70%3R0$7;0;!70<R037$0!$03<R
____________ , ____________ , ____________ , ____________ , ____________ , ____________
4
Arrange the following numbers in descending order:
30R!"0%;R0%70!!70%3R0$7$0;!0R<03$0!$0R<R
____________ , ____________ , ____________ , ____________ , ____________ , ____________
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
1
SERIES
TOPIC
3
Looking at whole numbers – order numbers to 999,999
5
Look at each set of numbers and list some that come in between. Write them in order.
a
b
23,560
37,682
6
c
123,691
110,420
223,691
80,682
Write a number that is:
a X703"R
b Z
730;!R
c J
V
"R0<!
d J
E
%0;;;
e Y%03!$R0<;!
f [
++RR0;;;
g Now write 2 more problems for a friend to answer:
7
Here are the heights of 5 students. Place them on the number line. Find your height and that of two
friends and add these to the number line.
100 cm
4
Sarah
!"%
Hugo
152 cm
Jack
148 cm
Emma
!3"
Diamond
121 cm
150 cm
F
1
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
200 cm
Looking at whole numbers – create and compare numbers
1
Use the following digits to make:
1
6
3
7
a The highest number
b The lowest odd number
c The lowest number
d The amount of money
you would like to win
4
e The highest even number
5
2
6
3
8
2
3
a
is greater than
b
is less than
c
is close to
d
is about double
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
1
SERIES
TOPIC
5
Looking at whole numbers – create and compare numbers
4
!
""#$%
&
Name
'"#**+
'"$$#
Rainsalot
<$0$"
98,981
Funkytown
59,936
3R0"!7
Point Lonely
24,945
45,299
Dullsville
!70<;3
$%03%;
Nirvana
3"0";!
68,443
Dodgy Meadows
$";0$%
$"<0<"7
Braggersville
125,382
!;0!<%
Letsgo
!70<;3
11,368
Notsoniceton
42,848
44,451
Mt Hero
$!0"7!
$;07$7
a +
$;;!
!<<3GE
!0;;;
]]]]]]]]]]]]]]]]]]]]]]]
b ^*ED!<<"^
*
+770;;;
E
3;0;;;^
*_______________________.
c G$;;!^**
%
and a zero in the thousands place. You move to _______________________.
d G$;;!*^
*
+E
%;0;;;<<0;;;B*K
____________________________________________________________________________________
e X
E!<<3$;;![E
70;;;
____________________________________________________________________________________
f ^ +
*!<<30
E
B
move to?
____________________________________________________________________________________
6
F
1
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
It’s holiday time!
/;
ready
What
to do
apply
^+
H+
+
^*
7
of your choice. That’s right, anywhere in the world with
everything paid for.
Your job is to plan the trip, following these guidelines:
1 ^E
*
+!;0;;;
2 ^Y
3 Your grandma has always wanted to see New York.
4 You get to choose the other two places.
=
+E
E

Place
What to
do next
'"
€
+7
0++

a +

_________________________________________________________________
_________________________________________________________________
b Z+

_________________________________________________________________
_________________________________________________________________
c Find a way to divide your places into two numerical categories such as odd/even,
!;;0;;;U!;;0;;;F++D
out the rule that you have applied.
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
1
SERIES
TOPIC
7
The new place is right!
/;
ready
What
to do
apply
The aim of this game is to order as many numbers on
a game board as possible. You’ll play the game in a
group of 3 or 4. You’ll need a pencil and the game show
boards below.
1 Decide who will be the game show host and who will be the contestants.
2 EE*
'+E
QF!
Oh no! She called 49
and I have nowhere
to put it, I’ve got 48
in the top spot.
3 Without showing the host, the contestants choose where they will put the
number on their own board. The numbers must be placed in order going up
from the lowest number. Once a number is placed, it cannot be moved.
4 The host calls another number. If the contestants can place it on their board,
they do so.
5 J
=
RE0E
board wins. They score a point and a free set of steak knives.
6 ƒ
=
7 You can play again and choose your own number ranges. You will need to draw
your own boards.
8
Game 1
Game 2
Game 3
1 - 50
50 - 100
500 - 1,000
F
1
Reading and Understanding Whole Numbers
SERIES
TOPIC
Copyright © 3P Learning
Place value of whole numbers – expanded notation
BE0+*
+
%0$!M%0;;;„$;;„;„!
1
@B"
B"
a 8,246
b 468
c "3!
d 1,645
e <"!
f "0R7
g !0<"R
2
3
@B"
B"
a 3;;„R;„"M
b 0;;;„";;„%;„7M
c R;;„;„%M
d $;;„3;„<M
e $0;;;„R;;„%;„3M
f "0;;;„<;;„$;„7M
g $;;„%;„7M
h <0;;;„R;;„;„$M
K
&
a %0$<V%0;;;„0;;;„$<GK
]]]]]]]]]]]]
b †70R%"V70;;;„R;;„%;„"GK
]]]]]]]]]]]]
c [D+
ER0<7BR„<„7„K
____________________________________________________________________________________
d B+‡
+"0;%<KG*
H
*K
____________________________________________________________________________________
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
2
SERIES
TOPIC
9
Place value of whole numbers – expanded notation
4
ƒ
+XD+00
+D*ˆ
you make a match, you keep the set. The person with the most cards wins.
32,831
12,300
3,588
9,219
5,912
88,307
12,890
15,502
2,389
10,000 +
2,000 +
300
3,000 +
500 +
80 +
8
9,000 +
200 +
10 +
9
5 thousands,
9 hundreds,
1 ten
2 ones
80,000 +
8,000 +
300 +
7
10,000 +
2,000 +
800 +
90
10,000 +
5,000 +
500 +
2
2 thousands,
3 hundreds,
8 tens
9 ones
30,000 +
2,000 +
800 +
30 +
1
10
F
2
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
copy
Place value of whole numbers – place value to 4 digits
+E
*
2,650
Th
1
H
T
$$0;;;
33;;
77;'*
;‡
O
V
"%%
%
!
X
Thousands
2
a
465
b
R0<"$
c
45
d
"<R
e
%07;"
f
0;%!
Hundreds
Tens
Ones
4
6
5
Write the number shown on each abacus.
a
b
Th
H
T
O
e
c
Th
H
T
O
f
Th
H
T
O
d
Th
H
T
O
g
Th
H
T
O
Th
H
T
O
Th
H
T
O
h
Th
H
T
O
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
2
SERIES
TOPIC
11
Place value of whole numbers – place value to 4 digits
3
4
What is the value of the 5 in these numbers?
a 6,15"
b 9,544
c 50"%<
d 4,546
e "R5
f 2,359
Y
B%
&%!
X&%
%03;;
a „!;;
"3R
b „!
c „!0;;;
07<;
d !;;
9,128
Zero plays an important role in numbers. It tells
us that the value of the column is nothing and
holds the place of the other numbers.
5
I have $6,055. Without
the zero I only have $655!
Complete the cross number puzzle. Make sure you include the zeros in the right places.
1
2
3
Across
1. four thousand two hundred seven
4. seven thousand ninety four
3 '*
4
8. one thousand forty seven
5
!;+
Down
6
1. four thousand eighty six
"
2. seven hundred
3. two hundred four
8
% *'=
9
5. nine thousand two hundred seven
6. two thousand one hundred thirty
" +
!;
9. sixty
12
F
2
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
Place value of whole numbers – place value to 6 digits
Look at the number 123,456.
!!;;0;;;
$$;0;;;
0;;;
%%;;+
77;'*
6 is worth 6 or six ones
B
E=*EE
E+
D++BD+
=$073R0;$
1
Y
%
"%%
!
X
Hundred
thousands
45,168
"
2
Thousands
Hundreds
Tens
Ones
4
5
1
6
8
5
4
9
4
1
8
9
5
4
4
6
5
1
2
2
5
"
"
4
8
1
9
1
3
;
4
1
[
!
X
a 5490!7"
3
Ten
thousands
9,000
b 9,544
c 850"%<
d 43"0R%<
e 12,468
f 4,688
g 134
h 94,115
i
994,913
True or False?
a GE73"0<$0"*
+"0;;;
]]]]]]]]]]]]]
b GER<<0%"!0R*
+R;0;;;
]]]]]]]]]]]]]
c GE";707$0‡
*
+
]]]]]]]]]]]]]
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
2
SERIES
TOPIC
13
Place value of whole numbers – place value to 6 digits
4
%X
I have 5 digits.
ˆ*E*EŠ
The greatest digit is in the ones place and the smallest digit is in the ten thousands place.
Both the thousands digit and the tens digit are greater than the hundreds digit.
So far, I could be 2 numbers. I am the greater of these.
I am _______________
A useful strategy is to make lines
where each digit should go and
X
I have 6 digits.
G+G*"
What number am I?
I am _______________
I am one half of a million plus one.
What number am I?
I am ______________
I have 5 digits.
I have a 6 in the ten thousands place and my digit in the ones place is the smallest even number.
My middle digit is one more than the ones digit.
My thousands digit is double my ones digit and my tens digit is double my thousands digit.
What number am I ?
I am ______________
Write a problem for a friend to solve:
14
F
2
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
Place value mastermind
/;
ready
apply
G0EH*%
number. You play with a partner.
You’ll need to draw up a chart with headings like this:
Number Guess
Number of Correct Digits Digits in the Correct Place
70"R
What
to do
2
1
1 Player 1 writes a secret 4 digit number on a scrap of paper.
2 ƒ
$†EF
3 Player 1 writes down how many correct digits there are,
and how many are in the right column.
4 ƒ
$++E$
5 E*
6 Switch roles.
What to
do next
What strategies can you use to reduce the number of guesses you need to make?
If you reduced the number of digits in the number to 2 or 3, does it make easier
to guess?
ZD$EE
K
BEEE
K
Talk to other pairs. What strategies did they use?
Try them out if you think they will help you!
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
2
SERIES
TOPIC
15
Who am I?
/;
ready
What
to do
solve
In this guessing game there are many clues. Your job is to not only
E0E+
and which are true but don’t help solve the problem.
€
+E
1
2
3
4
5
6
"
8
9
!;
11
12
13
14
15
16
!"
18
19
$;
21
22
23
24
25
26
$"
28
29
;
31
32
33
34
35
36
"
38
39
%;
41
42
43
44
45
46
%"
48
49
7;
51
52
53
54
55
56
7"
58
59
3;
61
62
63
64
65
66
3"
68
69
";
"!
"$
"
"%
"7
"3
""
"R
"<
R;
81
82
83
84
85
86
R"
88
89
<;
91
92
93
94
95
96
<"
98
99 !;;
The number is greater than 8.
E
7;;
E
+7
E
+3
The number is even.
Its tens digit is even and is double its ones digit.
The number is in the top half of the hundreds chart.
What is the number?
What to
do next
16
F
2
SERIES
TOPIC
B
Kˆ

Reading and Understanding Whole Numbers
Copyright © 3P Learning
Round and estimate – round to a power of 10
Rounding makes big numbers easier to work with. We round up if the number is exactly halfway
E!;*
+DB+E
+D
Rounding to the nearest 10
$"*
+E!;0;
$"
;
!;
$;
%;
30
7;
$$
+E!;0$;
22
;
!;
;
20
%;
7;
7
+E!;0%;
35
;
1
!;
$;
;
7;
40
\
%
V
X
7;
a
;
!;;
$;;
;;
%;;
7;;
3;;
";;
R;;
<;;
!0;;;
;;
%;;
7;;
3;;
";;
R;;
<;;
!0;;;
$7;
b
;
!;;
$;;
3R;
c
;
!;;
$;;
;;
%;;
7;;
3;;
";;
R;;
<;;
!0;;;
7;;
3;;
";;
R;;
<;;
!0;;;
%$;
d
;
!;;
$;;
;;
%;;
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
3
SERIES
TOPIC
17
Round and estimate – round to a power of 10
2
3
4
Round the following numbers to the closest hundred:
a 235
b 3R;
c 513
d %7;
e 5,164
f 0"%R
Use the number in the tens
place to help you decide!
Use the number in the hundreds
place to help you decide!
Round the following numbers to the closest thousand:
a 942
b 4,964
c 2,435
d <07;
e 703"R
f 2,845
!X
%]
%
%
^
!
X%
S
;
!;
%;;
S
%;0;;;
";
7;;
$;;
%;
R;
7;
$;
%;
!;;
"0;;;
<;;
!0;;;
R;
!;
!;;
!;;
!;;
%;;
R;
!0!;;
!0;;;
!;
S
;0;;;
$;
7;
S
368 rounded to the nearest hundred
Q
%0$;
T
1,234 rounded to the nearest thousand
P
69
N
1,146
R
83
F
30"$3
H
199
L
46
A
$"0%3R
M
C
I
D
O
18
<;;
$" rounded to the nearest ten
483 rounded to the nearest hundred
43 rounded to the nearest ten
932 rounded to the nearest hundred
" rounded to the nearest ten
E
59 rounded to the nearest hundred
U
!" rounded to the nearest ten
F
3
SERIES
TOPIC
!0;;;
%;;
rounded to the nearest ten thousand
rounded to the nearest ten
rounded to the nearest hundred
rounded to the nearest ten
rounded to the nearest thousand
rounded to the nearest hundred
rounded to the nearest ten
rounded to the nearest ten thousand
Reading and Understanding Whole Numbers
Copyright © 3P Learning
Round and estimate – estimate
B
Rounding helps us do this. We round numbers so we can work with them more easily in our heads.
[D„7$!
!;0;7$;
;„7$;MR7;
+„7$!
R7;
1
"
"
a €E
7"RM
. Time how long it takes you or a friend to solve it mentally.
____________________________________________________________________________________
b †E
D
*E
____________________________________________________________________________________
c Which problem is faster to solve? ________________________________________________________
d ZD+
K______________________________________
2
'%
"j%
%q
%q
[
%]%
against a partner.
Sentence
Rounded Sentence
Answer
R%„7
Compare your answers with
those of others. Did you all
get the same answers? Why
or why not?
$$„3<
%;3R<
"<„$;
93 – 61
3;<%<R
R$3„7<<
$$!„!!
";%„%!
%"„<<3
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
3
SERIES
TOPIC
19
Round and estimate – estimate
3
4
5
\
X
%%%
a "$%R
M
;
$;
$"
b 7"„!
M
<;
15
;
c !$3"
M
<;
!;;
;
d 73"$
M
7;;
77;
3;;
e R<<„%"
M
R7;
<7;
<;;
f !0$!7„!% M
!0%;;
!0;;
!0;;;
g 30%7%„$;" M
30;;;
R0;;;
30";;
Which one is best?
!%
cross the ones you think are false.
a 73R„!!!0;;;
b $"„7R";
c R<<"RŽ3;;
d 7"!$$7;;
e $%7„$%77;;
f !0;;7„"<;$0;;;
"
a Sarah is saving money to go to the fair. In week 1 she saves $13, in week 2 she saves $19
D*>$<ˆ+D
b The goodie bags that Sarah wants cost roughly $15 each. If she wants to spend half her
money on goodie bags, how many goodie bags can she buy?
c For lunch, Sarah wants a hot dog, fries and 3 cookies (mmm
Œ
&QE>!;+
[D
E
E
wants and stay within her budget.
_______________________________________________
20
F
3
SERIES
TOPIC
Menu
Price
Pizza
>$7;
ˆ
>$;;
Hot dog
>R;
Cookies
+>$;;
Fries
>;;
Hamburger
>37;
Reading and Understanding Whole Numbers
Copyright © 3P Learning
Round and estimate – calculations
B0
Dreasonable.
>$„>7<M>!0;;;GE
K
1
K
{@B"
a †
>%R3D>%3Q
>!0;;;EGE
K
b Q<!„
!$;GE
K
c @
‡E
Q%0RR<+0R<Š0
%R!'QDE30;;;
G
E
K
d Sean made a list of the money he had spent on lunch over the week. He then
>;*DGE
K
Mon>%7;
2
Tues $5. 65
Wed $3.85
Thurs $6.25
Fri >"";
[
"]%X
""
a 
E
E‘E>$0>>!7;
D
>37;actual>3"7B
+
E*K
____________________________________________________________________________________
b ‘
EED‘E>70><>!7
D
>$<actual cost was $33. What could each of the books have cost?
SE
____________________________________________________________________________________
What is the
%
the actual cost? How
could you share
%%
between the items?
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
3
SERIES
TOPIC
21
Round and estimate – calculations
B
0
D
ˆ
*
+E
E
If we make an error with the calculator, we then know to try again.
3
@
"/]
%%
to solve the problems.
@
%
a 23 × 5
b %"’3
c 33 × 8
d 11 × 19
Signed
e <"’
f $;!’%
g 498 × 3
Breathe in... breathe out... breathe in... breathe out...
4
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j%%K"
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a Use this table to help you organize
Time Frame
b Can you take it further? How many
breaths could you take in a week?
Number of
Breaths
per minute
per hour
c What about in a year?
per day
22
F
3
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning
How many
minutes in an
hour? How many
hours in a day?
Round and estimate challenges
/;
ready
What
to do
solve
Solve these problems using your head, a calculator, a
pen and paper. You may work with a friend.
a ^ *>70%R"‡
**Š*
B
>!;0>!;;
>!0;;;KBK‘
K
b G!730;;;G*E[
5 numbers I could have been.
c G!%70$;;=E[
5 numbers I could have been.
d G!30;;;B
EE
DK
How many pairs of numbers can you come up with?
Reading and Understanding Whole Numbers
Copyright © 3P Learning
F
3
SERIES
TOPIC
23
Shop till you drop
/;
ready
What
to do
apply
^+
D3;
^
+0
D
0E
ED
^
want to use a calculator for checking.
copy
1 Cut out the items below.
2 
E'
E
3 E*
+>!;>7;
4 3;E
under the limit. The shopper takes the items they want. It is okay to put things
EDG+3;0D
$&
5 J
=0
J0
if desired.
6 If the shopper has stayed under the limit, they get a point. If they go over the
limit, they get nothing.
7 Switch roles. At the end of that round, the person who was closest to their
shopping limit gets a bonus point.
What to
do next
24
Make up some more items for the shopping spree. Or challenge another team
to a race.
$14.98
$18.98
$9.99
$2.95
$1.95
$12
$3.22
$4.99
$29.95
>"<7
F
3
SERIES
TOPIC
Reading and Understanding Whole Numbers
Copyright © 3P Learning