# Place Value X by 10 by v1Nibn1t

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```									  Place Value and Multiplication
millions     thousands

Before the      After decimal
. 10 1the100 10 point
100 10 1 100                    1
decimal point
1000 100 10 1       1/        1/         1/          1/
.        10        100        1000        10000
Place Value & X by 10
millions        thousands

100 10       1   100 10   1    100 10   1

3    2

3   2    0
7,   8   9    5

7     8, 9     5    0
Place Value & X by 10
millions         thousands

100 10         1    100 10   1    100 10   1

2    3,   4   5    6

2   3    4, 5 6 0
8       9,   0   1    2,   3   4    5

8     9        0, 1      2 3, 4 5 0
Place Value & X by 10
thousands                  After the
decimal
point
100 10   1   100 10   1   . 1/10 1/100

0 .     8    2

8. 2
1   .   0    3

1 0 .3
When you multiply by ten
• The decimal point moves to the right one
place or the numbers move one place to
the left

4 6 . 5. 9            2   3   .   0
2   3   0   .
Multiply by 10 -

3.52 x 10 =       35.2

4.209 x 10 =       42.09

0.06 x 10 =       0.6

0.0086 x 10 =      0.086
Place Value & X by 100
millions        thousands

100 10       1   100 10   1    100 10   1

3    2

3, 2     0    0
7,   8   9    5

7   8    9, 5     0 0
Place Value & X by 100
millions         thousands

100 10       1    100 10   1    100 10   1

3,   4   5    6

3 4 5, 6          0    0
9,   0   1    2,   3   4    5

9 0 1,             2 3 4, 5         0    0
When you multiply by a hundred
• The decimal point moves to the right two
places or the numbers move two places to
the left
2   .   8
4 6 . 5 9 . 3
8 0
2 2 8
Multiply by 100
• 6 x 100   = 600
13.5 x 100    = 1350
• 12 x 100 = 1200
4.23 x 100     = 423
• 25 x 100 = 2500
0.16 x 100     = 16
• 64 x 100 = 6400
0.063 x 100     = 6.3
When you multiply by a thousand
• The decimal point moves to the right three
places or the numbers move three places
to the left
2 .   3 5
4 .6 5 9 . 3
3
2 2   2 3
5 0
3 5     5
Multiply by 1000
• 6 x 1000   = 6,000
13.5 x 1000 = 13,500
• 12 x 1000 = 12,000
4.23 x 1000   = 4,230
• 25 x 1000 = 25,000
0.16 x 1000   = 160
• 64 x 1000 = 64,000
0.063 x 1000 = 63
When multiplying by 10,100,1000-
• I know that the number gets bigger
• The place value of each digit is changing
or
the decimal point is moving

101 =10
I 2 =10 x 10 =100
Can10do this multiply by just looking at it?
103 =10 x 10 x 10 =1000
104 = 10 x 10 x 10 x 10=10000

```
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