Ch 2 PM2 Review Day 2 - 8th grade

​Chapter 2
PM2 Review
Day 2

​8th grade Pre-Algebra

​Scientific Notation

​Scientific Notation helps us to write really ______________ numbers and really _____________ numbers (astronomy and microbiology).

​Write in Scientific Notation:

​Large numbers get ________ exponents. Small numbers get __________ exponents.

​Format: a x 10^exp, where 1 ≤ a < 10.

​7,390,0000

​More practice:

​3,484,256,893








0.0000000000749

Multiple Choice

Convert to Scientific Notation:

7,450,000,000,000

• 0.745 x 10¹³

• 74.5 x 10¹²

• 7.45 x 10¹²

• 7.45 x 10¹³

Multiple Choice

Convert to Scientific Notation:

0.000000000078

• 7.8 x 10^-11

• 78 x 10^-12

• 0.78 x 10^-10

• 780 x 10^-9

​Convert from Scientific Notation to Standard Form

​This is a really big number, because the exponent is positive. I know that I'm moving the decimal to the
__________.

​This is a really small number, because the exponent is negative. I know that I'm moving the decimal to the ________.

​More practice

​Write in Standard Form Write in Scientific Notation

Multiple Choice

Write in standard form.

• 276,000,000

• 27,600,000,000

• 0.00000000276

• 0.0000000000276

Multiple Choice

Write in standard form.

• 7,300,000

• 730,000

• 0.0000073

• 0.000073

​Multiplying and Dividing with Scientific Notation

​How many types of terms do you have?

​Step 1: Multiply the numbers

Step 2: Write "x 10"

Step 3: You are multiplying the same base of 10, so you ______
the exponents. Write down your answer.

Step 4: Put your answer in proper Scientific Notation.

​More practice - Apply the 4 steps!

​Step 1: Divide the numbers. Write your answer down.

Step 2: Write down "x 10".

Step 3: You are dividing, which is repeated __________, so you ___________ the exponents.
Write down the exponent.

Step 4: Convert to proper Scientific Notation.

Multiple Choice

Multiply and put your answer in proper scientific notation.

• 0.34 x 10¹⁶

• 34 x 10¹⁴

• 3.4 x 10¹⁴

• 3.4 x 10¹⁵

Multiple Choice

Divide and put your answer in proper scientific notation.

• 0.81 x 10³

• 8.1 x 10²

• 8.1 x 10³

• 81 x 10

​Adding and Subtracting with Scientific Notation

​The exponent _________ be the
____________!

​What if the exponents aren't the same?

​*Convert the _________ exponent to be the same as the __________ exponent.
*Add/Subtract.
*Be sure that the answer is in proper scientific notation.

​Practice

Multiple Choice

Subtract and put the answer in proper scientific notation.

• 13.441 x 10⁶

• 1.3441 x 10⁷

• 0.13441 x 10⁵

• 1.3441 x 10⁴

Multiple Choice

Add and put your answer in proper scientific notation.

• 4.8186 x 10⁶

• 4.8186 x 10⁵

• 48.186 x 10⁵

• 48016 x 10⁶