Download Scientific Notation PowerPoint

Using Exponents to Write
Large Numbers
By Monica Yuskaitis
For Learning to Happen!
•Clear your desk of anything that may
distract you.
•Remove all other thoughts from your
mind.
•Pay close attention.
•Try all the examples.
•Ignore all other distractions.
Exponents of Ten
What Is the Standard Form
of These Tens?
2
100
10
3
1,000
10
4
10,000
10
5
10
100,000
Exponents of Ten
Notice that the number of zeros
matches the exponent number
2
10
3
10
4
10
5
10
100
1,000
10,000
100,000
Multiplying Multiples of Ten
Multiply These Numbers
100 x 2 =
200
1,000 x 3 =
3,000
10,000 x 7 = 70,000
100,000 x 9 = 900,000
Multiplying Multiples of Ten
Did you notice that all you
have to do is multiply 1 x whole
number & add the zeros behind?
100 x 2 =
200
1,000 x 3 =
3,000
10,000 x 7 = 70,000
100,000 x 9 = 900,000
Short Cut for Writing Large
Numbers
Combine these two steps for
writing large numbers.
2
6 x 10 = 600
6 x (10 x 10) = 6 x 100 = 600
Short Cut for Writing Large
Numbers
Remember!
The exponent is the same as the
number of zeros.
2
6 x 10 = 600
What is the Standard Number?
2
7 x 10 = 700
What is the Standard Number?
3
8 x 10 = 8,000
What is the Standard Number?
4
9 x 10 = 90,000
What is the Standard Number?
2
4 x 10 = 400
What is the Exponent Form?
500 = 5 x 10
2
What is the Exponent Form?
3
6,000 = 6 x 10
What is the Exponent Form?
4
90,000 = 9 x 10
What is the Exponent Form?
700,000 = 7 x 10
5
Simplifying Large Numbers With
Scientific Notation
By D. Kritikos
Extremely large numbers are
often expressed in scientific
notation
EXAMPLE #1
36,000,000  36 1,000,000  36 10
6
In Scientific Notation, a decimal point must be
inserted to the right of the first number. An extra
zero must be added for the extra decimal position.
3.6 10  3.6 10,000,000  36,000,000
7

EXAMPLE 2:
88 10  88 1,000  88,000
3
8.8 10  8.8 10,000  88,000
4
Solve the following using
scientific notation with decimals:
72,000,000 =
72  1,000,000 
7.2 10,000,000 
7.2 10
7
48,000,000 =
48  1,000,000 
4.8 10,000,000 
4.8 10
7
26,000,000
26 1,000,000 
2.6 10,000,000 
2.6 10
7
3,600
36 100 
3.6  1,000 
3.6  10
3
36,000
36  1,000 
3.6 10,000 
3.6 10
4
5,500
55 100 
5.5 1,000 
5.5  10
3
55,000
55 1,000 
5.5 10,000 
5.5  10
4
55,000,000
55 1,000,000 
5.5 10,000,000 
5.5  10
7
Let’s go practice!