Using Exponents to Write Large Numbers June 25, 2012

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.

Objectives Write numerals in exponential form Write numerals in exponential form Express in standard form the numerals in exponential form or expanded exponential form or vice versa Express in standard form the numerals in exponential form or expanded exponential form or vice versa

Exponents of Ten What Is the Standard Form of These Tens? ,000 10, ,000

Exponents of Ten Notice that the number of zeros matches the exponent number ,000 10, ,000

Multiplying Multiples of Ten Multiply These Numbers 100 x 2 = 1,000 x 3 = 10,000 x 7 = 100,000 x 9 = 200 3,000 70, ,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 = 1,000 x 3 = 10,000 x 7 = 100,000 x 9 = 200 3,000 70, ,000

Short Cut for Writing Large Numbers Combine these two steps for writing large numbers. 6 x 10 2 = 6 x (10 x 10) = 6 x 100 =

Short Cut for Writing Large NumbersRemember! The exponent is the same as the number of zeros. 6 x 10 2 = 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 Standard Number? 13 x 10 2 = 1 300

What is the Standard Number? 216 x 10 1 = 2 160

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

What is the Exponent Form? 6 x 10 3 = 6,000

What is the Exponent Form? 9 x 10 4 = 90,000

What is the Exponent Form? 7 x 10 5 = 700,000

What is the Exponent Form? 65 x 10 4 = 650,000

What is the Exponent Form? 107 x 10 3 = 107,000

The human eye blinks about once every five seconds. In 16 waking hours, an average person blinks about times a day or times a year. Study how each numeral is written in Expanded exponential form in 3 ways.

1. Giving the value of each digit 2. Multiply each digit by its place value 3. Multiply each digit by powers of Study how each numeral is written in Expanded exponential form in 3 ways x x x 100 (1 x 10 4 ) (1 x 10 3 )(5 x 10 2 ) +

1. Giving the value of each digit 2. Multiply each digit by its place value 3. Multiply each digit by powers of 10 Expanded Exponential Form of x x x 100 (2 x 10 4 ) (3 x 10 3 ) (4 x 10 2 ) + (2 x 10 4 ) + (3 x 10 3 ) + (4 x 10 2 ) Exponential Form of ? 234 x 10 2

1. Giving the value of each digit 2. Multiply each digit by its place value 3. Multiply each digit by powers of 10 Expanded Exponential Form of x x 102 x 1 (6 x 10 3 ) (5 x 10 1 ) (2 x 10 0 ) + (6 x 10 3 ) + (5 x 10 1 ) + (2 x 10 0 )