2. ο Give the place value and value of a
digit in four- to five-digit numbers.
LEARNING TARGET:
3. Place Value Chart
THOUSANDS UNITS
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones
7 6 8 5
3 5 4 7 1
periods
4. Place Value Chart
THOUSANDS UNITS
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones
7 6 8 5
3 5 4 7 1
periods
5. Place Value Chart
THOUSANDS UNITS
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones
7 6 8 5
3 5 4 7 1
periods
6. In 7 685, the place values of the digits are:
5 β ones
6 hundreds
8 β tens
7 β thousands
THOUSANDS UNITS
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones
7 6 8 5
7. In 35 471, the place values of the digits are:
1 β ones
3 β ten thousands
4 β hundreds
7 β tens
5 β thousands
THOUSANDS UNITS
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones
3 5 4 7 1
8. ο PLACE VALUE tells the position of
the digit in a number.
ο Starting from the right, the place value
names are ones, tens, hundreds,
thousands, and ten thousands.
10. Our numeration system
is called
βDecimal Numeration
Systemβ
because each place value is ten times
as much as the next smaller place
value.
The prefix βdeciβ
means β10β.
Place
Value
Ten
Thousands
Thousands Hundreds Tens Ones
10 000 1 000 100 10 1
11. Each digit has its own value depending
on its place value.
Place
Value
Ten
Thousands
Thousands Hundreds Tens Ones
Value 10 000 1 000 100 10 1
12. Determining the Value of a Number
THOUSANDS UNITS
PLACE
VALUE
Ten
Thousands
Thousands
1 000
Hundreds
100
Tens
10
Ones
1
7 6 8 5
VALUE
In 7 685, the values of the digits are:
7 β 7 000
6 β 600
8 β 80
5 β 5
5
80
600
7 000
*To get the value of a digit
in a number,
we multiply the digits by its
place value.
13. Determining the Value of a Number
THOUSANDS UNITS
PLACE
VALUE
Ten
Thousands
Thousands Hundreds Tens Ones
3 5 4 7 1
VALUE
In 35 471, the values of the digits are:
1 β 1
5 β 5 000
4 β 400
7 β 70
3 β 30 000
1
70
400
5 000
30 000
14. OTHER EXAMPLES:
1. 41 308 Digit Place Value Value
8 Ones 8
0 Tens 0
3 Hundreds 300
1 Thousands 1 000
4 Ten thousands 40 000
2. 90 156 Digit Place Value Value
6 Ones 6
5 Tens 50
1 Hundreds 100
0 Thousands 0
9 Ten thousands 90 000
15. ο The value of a digit depends on its
position or place value in a numeral.
ο The value of a digit gives you what the
digit means in quantity and is formed by
multiplying the digit by its place value.