Using Exponents to Write Large Numbers The modern notation for exponents (writing them raised at a higher level) originated with Rene Descartes in 1637.

What Is the Standard Form Exponents of Ten What Is the Standard Form of These Tens? 2 100 10 3 1,000 4 10,000 5 100,000

Exponents of Ten Notice that the number of zeros matches the exponent number 2 100 10 3 1,000 4 10,000 5 100,000

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. 6 x 10 2 600 = 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? 7 x 10 2 700 =

What is the Standard Number? 8 x 10 3 8,000 =

What is the Standard Number? 9 x 10 4 90,000 =

What is the Standard Number? 4 x 10 2 400 =

What is the Exponent Form? 2 500 5 x 10 =

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? 5 700,000 7 x 10 =