Transcript Powers of 10 Add 1 to the power Subtract 1 from the power 10 10 10 10 1 100 10-1 10-2 Multiply by 10 1 0.1 0.01 Divide by.

Powers of 10
Add 1 to the power
Subtract 1 from the power
4
10
3
10
2
10
10 1 100 10-1 10-2
10000
1000
100
10
Multiply by 10
1 0.1 0.01
Divide by 10
TRUE OR FALSE?
Multiplication
always makes
numbers bigger
Division always
makes numbers
smaller
Try multiplying and dividing the numbers
on the left hand side by those on the
right hand side.
Investigate
0.6 25
0.1
x
0.23
62.5
800
0.00482
0.09
1.5
1/100
0.01
10
÷ 100
1/10
Organise your findings into a table:
Multiply
0.1
x
y
1/10
10
0.01
Divide
1/100
100
0.1
1/10
10
0.01
1/100
100
Multiply
0.1
1/10
10
0.01
Divide
1/100
100
0.1
1/10
10
0.00482
0.09
0.23
0.6
1.5
25
62.5
800
What can you see?
0.01
1/100
100
Is the same as
Multiplying by
Is the same as
Multiplying by
Dividing by
0.1
1/10
10
0.01
1/100
100
Is the same as
Dividing by
Is the same as
Dividing by
Multiplying by
0.1
1/10
10
0.01
1/100
100
Multiplying and dividing by
powers of 10
7.34 x 100 = 734
37.4 / 10 = 3.74
9.3 x 0.1 = 9.3 / 10 = 0.93
0.27 / 0.1 = 0.27 x 10 = 2.7
0.63 x 0.01 = 0.63 / 100 = 0.0063
5.96 / 0.01 = 5.96 x 100 = 596
Multiplying by a number less than 1
makes things smaller.
Dividing by a number less than 1
makes things bigger