Lesson 2.2: Scientific Notation with Positive Powers of 10

Scientific Notation with Positive Powers of 10

CCLS: 8.EE.3

DO NOW

Let's begin to EVALUATE!

 $3^{4\ }\ \cdot\ \ 3^2$  

 $\left(3^2\right)^3$  

 $\left(3^2\right)\left(3^6\right)$  

 $\frac{6^{10}}{6^4}$  

Learning Objective

We will be able to convert between scientific notation and standard form

How Many Stars Are There In The Universe? 

The Challenge(s)

• How do astronomers estimate how many stars exist?

• How many stars are there in the universe?

How wide is our universe?

210,000,000,000,000,000,000,000

(22 zeros)

• This number is written in decimal notation.

• When numbers get this large, it is easier to write them in SCIENTIFIC NOTATION.

Remember:

The first number MUST between 1 and 10.

Remember:

The EXPONENT tells you how many places to move the decimal.

Remember:

Put an arrow where the decimal needs to be and count how many places you moved.

Multiple Choice

What is the first step when writing 56,000 in scientific notation?

• multiply

• count the zero

• divide

• find where the decimal should be placed

Multiple Choice

What is the first step when writing 9.4 x 10³ in standard notation?

• add 3 zeros

• multiply

• divide

• move the decimal 3 places

Multiple Choice

How do you write 20.6 in scientific notation?

• 2.6 x 10¹

• 2.06 x 10¹

• 2.06 x 10²

• 2.6 x 102

Multiple Choice

How do you write 7,100 in scientific notation?

• 7 x 10³

• 7.1 x 10²

• 7.1 x 10³

• 7 x 10²

Multiple Choice

How do you write 4.5 x 10⁴ in standard notation?

• 45,000

• 450,000

• 45,000,000

Multiple Choice

How do you write 6.1 x 10⁸ in standard notation?

• 610,000,000

• 6,100,000,000

• 60,100,000,000

Multiple Choice

True or False?

6.2 x 10⁵ = 620,000

Multiple Choice

True or False?

7,300 = 7.3 x 10²

Poll

I feel like I understand scientific notation ________.

• really well!

• sort of.

• a little

• I need help.