Using Exponents to Write Large Numbers The modern notation for exponents (writing them raised at a...

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