Place Value/Face Value
• Each digit in a number
has a place value and a
face value.
• In the number 4856,
the digit 4 is in the
thousands place value.
• Meaning the place value
is thousands.
• The number you see (4)
is the face value.
Face value
is 4
4856
Place value is
thousands
A place value chart helps us to
read and understand large
numbers.
THOUSANDS
BILLIONS
128 063 245 791
MILLION
S
UNITS
ones, tens, hundreds
Hundred
Billion
Ten
Thousand
Hundred
Thousand
Ten Billion
Thousands
Billion
LFH JBG CIA EKD
Hundred
Million
Million
s
Ten
Million
Ones
Hundreds
Tens
Saying Large Numbers
• Understand place value helps us say
large numbers properly
• When saying large numbers you should:
• A) start with the largest place value
grouping
• B) say what you see, then say the
grouped place value
• C) continue until all number have been
read
34 907 521
Try These
•
•
•
•
•
•
•
•
4 560 392
305 500 428
8 425 022 603
90 836 364 210
110 300 004 321
732 780 000 444
904 265
193 004
Writing Numbers In Words
• When writing numbers in words you
write exactly what you say:
409 320 199
• Four hundred nine million, three
hundred twenty thousand, one
hundred ninety-nine
Try These
1. Two hundred sixty four thousand, five
hundred three
2. Ninety million, sixty-two thousand four
3. Seven hundred five million, twenty-two
4. Five hundred sixty-three thousand, four
hundred thirteen
5. Two billion, three hundred million, seven
thousand, sixteen
• When numbers are presented in
numerical digits, it is called the
standard form of a number.
Standard
Form
4856
• Numbers can also be represented in
expanded form.
• This means writing the value of a
number using the face value and place
value of each digit.
• The number 4856 in expanded form is:
Method a)
4000 + 800 + 50 + 6
Method b)
4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1
Try These
•
•
•
•
•
3982
23 508
60 000 + 2000 + 900 + 40 + 5
800 000 + 50 000 + 300 + 60 + 4
3 x 100 000 + 7 x 10 000 + 2 x 1000 +
8 x 100 + 4 x 10 + 5 x 1
• 6 x 100 000 + 2 x 1000 + 8 x 100 +
5 x 10 + 6 x 1
Try These
•
•
•
•
•
30 + 5000 + 300 000 + 200 + 4
200 000 + 900 + 4000 + 3 + 10 000
6000 + 20 000 + 900 + 400 000 + 5
800 000 + 5000 + 3 + 60 + 400
3 x 1000 + 7 x 100 000 + 2 x 100 +
8 x 10 000 + 4 x 1 + 5 x 10
• 6 x 10 000 + 2 x 100 000 + 8 x 1000 +
5 x 1 + 6 x 100
Expanded Notation Using
Powers of 10
• Numbers can also be written in
expanded form using powers of 10
• We will call this expanded form
Method C
• Knowing Method A and B makes
method C easy
The number 4856 in expanded form is:
Method a)
4000 + 800 + 50 + 6
Method b)
4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1
Method c)
4 x 103 + 8 x 102 + 5 x 101 + 6 x 100
Try These
•
•
•
•
•
•
32 906
53 800
40 641
7 x 103 + 2 x 102 + 5 x 101 + 3 x 100
9 x 105 + 8 x 103 + 7 x 102 + 6 x 101
5 x 106 + 2 x 104 + 9 x 103 + 6 x 100