PM3 Final Review Ch 1-2

​Now, let's review Chapters 1-2 again!

​Rational VS. Irrational Numbers

​ALL NUMBERS ARE EITHER:

RATIONAL OR IRRATIONAL

• any whole number (+ or -) divided by another whole number (+ or -, but NOT 0).

• fractions

• decimals that terminate (end)

• decimals that repeat

• whole numbers

​A decimal that goes on forever and NEVER repeats.

Examples:
Π and anything +, - , x, or divided to Π.
Many (NOT all) square roots and cube roots.

.

Dropdown

What kind of number is this?​

Select answer

Dropdown

What kind of number is this? ​ ​

Select answer

​Evaluate Square Roots and Cube Roots

​________ root is the inverse operation to ________ a number (exponent of ____).
Calculator button:


_____ root is the inverse operation to ________ a number (exponent of ____).
Calculator button:
* Click on y and enter _____.

Multiple Choice

Evaluate.

• 1

• -1

• 1, -1

• not possible

Multiple Choice

Evaluate.

• 13

• -13

• 13, -13

• not possible

Multiple Choice

Evaluate

• 3

• -3

• 3,-3

• not possible

​Problem solving with square and cube roots

​Area: This is ALWAYS _________.











The area of the square is 16 m².
What is the side length?

​Volume: This is ALWAYS ___________.
The volume of the cube is 28 m³. What is the side length rounded to nearest tenth?

​Do negative answers make sense in real world square root problems?

​The area of a square garden is 16 square yards. What is the side length?

​The volume of a cube shaped paper weight is 64 cubic inches. What is the side length?

Math Response

A cube has the volume of 22 cubic inches. What is a side length? Round your answer to the nearest hundredth, if necessary.

Type answer here

Correct Answer: 2.80

Deg^°

Rad

Review

Multiple Choice

Order 3π, √ 10 , and 3.25 from greatest to least.

• √ 10, 3π, 3.25
• √ 10, 3.25, 3π
• 3π, 3.25, √ 10
•  3.25, √ 10, 3π

​Law of Exponents - Putting it all Together

Math Response

Evaluate

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

Evaluate. Use positive exponents in your answer.

Type answer here

Correct Answer: 8^8

Deg^°

Rad

Multiple Choice

Simplify.

• 8w²x

• w²x/8

• 8/xw²

• w²x/49

​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