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Using Exponents to Write
Large Numbers
Using Exponents to Write
Large Numbers
The modern notation for exponents (writing them raised at a higher level) originated with Rene Descartes in 1637.
Exponents of TenExponents of TenWhat Is the Standard Form
of These Tens?
210101010
34
5
1001,00010,000100,000
Exponents of TenExponents of TenNotice that the number of zerosmatches the exponent number
210101010
34
5
1001,00010,000100,000
Multiplying Multiples of TenMultiplying Multiples of Ten
Multiply These Numbers100 x 2 =
1,000 x 3 =
10,000 x 7 =
100,000 x 9 =
200
3,000
70,000
900,000
Multiplying Multiples of TenMultiplying Multiples of Ten
Did you notice that all you have to do is multiply 1 x wholenumber & add the zeros behind?
100 x 2 =1,000 x 3 =10,000 x 7 =100,000 x 9 =
2003,000
70,000900,000
Short Cut for Writing Large Numbers
Short Cut for Writing Large Numbers
Combine these two steps forwriting large numbers.
6 x 10 2 =
6 x (10 x 10) = 6 x 100 = 600
600
Short Cut for Writing Large Numbers
Short Cut for Writing Large Numbers
Remember!The exponent is the same as
the number of zeros.
6 x 10 2
= 600
What is the Standard Number?
What is the Standard Number?
7 x 10 2 = 700
What is the Standard Number?
What is the Standard Number?
8 x 10 3 = 8,000
What is the Standard Number?
What is the Standard Number?
9 x 10 4 = 90,000
What is the Standard Number?
What is the Standard Number?
4 x 10 2 = 400
What is the Exponent Form?What is the Exponent Form?
5 x 10 2
=500
What is the Exponent Form?What is the Exponent Form?
6 x 10 3
=6,000
What is the Exponent Form?What is the Exponent Form?
9 x 10 4
=90,000
What is the Exponent Form?What is the Exponent Form?
7 x 10 5
=700,000
