Question

part 3: integers & rational numbers
(positive/negative numbers, opposites, ordering)

• positive words: deposit, gain, above sea level, ascend.
• negative words: withdraw, debt, below sea level, descend.
• opposites: just change the sign! the opposite of 5 is -5.
• ordering: on a number line, numbers to the right are always greater.

number line: positive & negative integers
4 > -4
-4 < 4
practice problems:

1. write an integer that represents the situation.

a. a debt of $20:
b. 10 degrees above zero:
c. a gain of 25 yards:
d. a withdraw of $125:

1. the table below shows the temperature in four different cities at 6:00 am.

city temperature (°f)
alton -5
bedford 2
chester -8
dayton 0
what city recorded the coldest temperature?
write an inequality that compares the temperatures of alton and chester.

Explanation:

Problem 8

a. A debt of $20

Step1: Identify the sign

Debt is a negative word (from the given negative words list: Debt). So we use a negative integer.

Step2: Assign the value

The amount is $20, so the integer is $-20$.

Step1: Identify the sign

Above zero is a positive situation (positive words: Above Sea Level, similar to above zero). So we use a positive integer.

Step2: Assign the value

The number of degrees is 10, so the integer is $10$.

Step1: Identify the sign

Gain is a positive word (from positive words list: Gain). So we use a positive integer.

Step2: Assign the value

The number of yards is 25, so the integer is $25$.

Answer:

$-20$

b. 10 degrees above zero