Tuesday, October 5 (Blue) Wednesday, October 6 (Gold) Today’s Agenda 1.Fill in planner 1.Practice Vocabulary Review 3.Ch. 4 Test Thursday (Blue) or Friday (Gold) 2.Bell Work Note taking worksheet 4-9 (Scientific Notation) Group Practice Independent work Time

Multiplying and Dividing Exponents

Objective SWBAT –write and evaluate numbers in scientific notation –calculate with scientific notation Why? –To solve real world problems involving weight and mass.

Vocabulary a way to write numbers using powers of ten. You write a number in scientific notation as the product of two factors standard form

Writing standard numbers in Scientific Notation This is a number written in standard form. To write this in scientific notation, the decimal must be moved one place to the left  Since you moved the decimal 1 place to the left, we write the number in scientific notation: x 10 1 Exponent is 1 since we moved the decimal 1 place.

2,987 This is a comma, not a decimal To write in scientific notation, add a decimal to the end of the number: ● Move the decimal to the left: x 10 3 Exponent is 3 because we moved the decimal 3 places

 To write a decimal number in scientific notation, the decimal needs to be moved to the right two places Move the decimal to the right: x When you move the decimal to the right, the exponents are negative! Drop any zeroes before the ones place in your number!

Examples standard

Examples

Changing Scientific Notation to Standard Form x 10 2 Since the exponent is 2, move the decimal 2 places to the right Drop the x 10 2 when writing in standard form.

6.87 x Since the exponent is negative, move the decimal to the left 4 spaces. 000 ● Add 0’s when needed to move the decimal Drop the x 10 -4

Examples 36,

(Science) Example Commutative 10.1 add add X 10 -3

5.45 x x ,100, x x x x

Objective SWBAT –write and evaluate numbers in scientific notation –calculate with scientific notation Why? –To solve real world problems involving weight and mass.