1. OBJECTIVE
I will write numbers that are in standard form in scientific notation.
I will write numbers that are in scientific notation in standard form.

2. Vocabulary
Scientific Notation - a number written as a product of a number and a power of ten
c x 10n
- c is a number greater than or equal to 1 and less than 10 (1 ≤ c < 10)
- n is any integer

3. Comparison of Forms Standard Form: 286000 Product Form: 2.86 x 100000
Scientific Notation: 2.86 x 105

4. Writing Numbers in Scientific Notation
Step 1: Move the decimal so that it has one digit to the left of it greater than zero (if there is no decimal, write one at the end of the number)
Step 2: Multiply the number by the place-value of the number of times the decimal moved (Product form)
Step 3: Re-write the place-value as a power of ten (Scientific notation)

5. Writing Numbers in Scientific Notation
Joseph King constructed a 23 foot model of the Eiffel Tower using toothpicks. Write this number using scientific notation.
• Standard Form:
Move the decimal 5 places to the left to make 1.1

6. Writing Numbers in Scientific Notation
Product Form: 1.1 x
Scientific Notation: 1.1 x 105
ANSWER Joseph King used 1.1 x 105 toothpicks to make his model of the Eiffel Tower.
5 zeros
Exponent is 5

7. Guided Practice Write 314700000 in Scientific notation.
Original Problem
3.147 Move decimal to the left 8 times
3.147 x Multiply by place-value
decimal moved
3.147 x 108 Re-write place-value as power
of ten; Scientific notation

8. Writing Numbers in Standard Form
Step 1: Remove the power of ten
Step 2: Move the decimal to the right the number of places indicated by the exponent (if there is no decimal, add one)
Step 3: Add zeros if the decimal goes beyond the number of digits
Step 4: Re-write the number

9. Writing Numbers in Standard Form
Write 3 x 103 in standard form.
3.0 Add decimal
3000. Move decimal to right three times
and add zeros
3000 Re-write number in standard form

10. Guided Practice Write 7.87 x 106 in standard form.
Move decimal to right three times
and add zeros
Re-write number in standard form

11. Math Review [18(y^6)]/(x^4) 3(x^2)/4 x = -6 See Graph (-9, 5)
Graphing Equations Linear Systems Current Unit
1. Graph the equation using 2. Solve the system of equations Find the product using the properties of
the method of your choice exponents.
Fraction Operations Multi-Step Equations
4. Evaluate. Reduce if necessary Solve for x.
[18(y^6)]/(x^4)
See Graph
(-9, 5)
3(x^2)/4
x = -6

12. Tuesday Math Review Exponents 1. Simplify the following expression:
(a6b)(a3b2)
Square Root Expressions / Equations
2. If x and y are positive, then simplify:
Excluded Values
3. What are the excluded values of the expression?
a9b3
12x6y5
x = -8

13. OBJECTIVE
I will compute problems with scientific notation using the rules of exponents.

14. Computing with Scientific Notation
Step 1: Perform operation with numbers (c) and powers separately
Step 2: Use properties of exponents
Step 3: Simplify
Step 4: Write in scientific notation

15. Multiplying with Scientific Notation
(2.2 x 102)(8.1 x 103) Problem
= (2.2 • 8.1) x (102 • 103) Multiply separately
= x Simplify
= x Write in scientific notation

16. Guided Practice
(4.5 x 104)(2.5 x 107)

17. Dividing with Scientific Notation
Problem
Divide separately
Simplify
Write in scientific
notation

18. Guided Practice

19. Powers with Scientific Notation
(1.2 x 102)3 Problem
= 1.23 x (102)3 Raise to power separately
= x 106 Simplify

20. Guided Practice
(4.0 x 10-4)2

21. Independent Practice Write the number in scientific notation. 5480
Write the number in standard form.
x 102
Compute the problem using scientific notation.
3. (1.25 x 103)(3.5 x 102)
4. (1.25 x 103)4