Study Guide - Unit 2: Rational Numbers

Study Guide - Unit 2: Rational Numbers

INEQUALITY

Compare 2 numbers > < =

Rational Number

Any positive or negative integer, decimal or fraction< any number that can be made by dividing one number by another. The term comes from the word "ratio"

KEY CONCEPTS

• Positive Rational Number Terms:

  Credit/ Above sea level/ Above zero/ in the air/ Protons/ Credit/ Deposit/ overall credit/ Increase/ earn credit

• Negative Rational Number Terms: Debit/ Below sea level/ Below zero depth/sunk Electrons/ Withdrawal/ Decrease/ Loose Taken away

Multiple Choice

107 degrees above zero= +107

Multiple Choice

20 degrees below sea level = +20

Multiple Choice

I earned 125 points playing Mario Kart. = -125

Let's look at some problems

Remember to look for the KEY WORDS:

Multiple Select

It was -2 degrees on Thursday, and Rex believed it was the coldest day of the week so far. Below are the temperatures for other days of the week.

Choose ALL THE TEMPERATURES that are colder than -2 degrees.

• 10 degrees

• 8 degrees

• -1 degree

• None of these temperatures are colder than -2.

Multiple Choice

Which temperature is the coldest?

• -2°F

• 47°F

• 42°F

• -7°F

Multiple Choice

What is the overall charge of a group with 9 electrons and 6 protons?

• -15

• 3

• -3

• 15

Multiple Select

Jennie’s bank balance is $327.25. Choose all the statements that correctly describe Jennie’s bank balance.

• Jennie has more than $75

• Jennie owes money.

• If Jennie spent $27.25, she would have a balance of $300.

• Jennie has an overall credit.

The opposite of

• The negative symbol outside the parentheses means "the opposite of"

• Example: - (-2) = 2. The opposite of negative 2 is 2.

• Zero is its own opposite 0=0

Multiple Choice

 $-\ \left(-\frac{4}{5}\right)$  is...

• Less than zero

• Equal to zero

• Greater than zero

Multiple Choice

debt $90.50

• less than zero

• equal to zero

• greater than zero

Multiple Choice

The opposite of -15 degrees

• less than zero

• equal to zero

• greater than zero

ABSOLUTE VALUE = distance from zero

 $\left|8\right|\ =\ 8$                        $\left|-8\right|=8$  


-8 is 8 units away from zero.
8 is 8 units away from zero. 

Multiple Choice

From least to greatest. Which one is correct?

• |0|, |-5|, |-24|, |10|

• |0|, |-24|, |-5|. |10|

• |-24|, |10|, |-5|, |0|

• |0|, |-5|, |10|, |-24|

INEQUALITIES

Compare 2 numbers:

 $><=$  

Multiple Choice

Is the inequality TRUE or FALSE? -7 < -1

Multiple Choice

Is the inequality. TRUE or FALSE? |-10| > 11

Multiple Choice

Is this inequality TRUE or FALSE? 9 = |9|