Definitions
A number less than zero
Negative Number
-7 + -23
-30
-8 x -9
72
Samuel had a balance of $12 in his bank account and he deposited his paycheck that was $345. What is Samuel's new balance?
A negative times a negative =
Positive
A whole number and its opposite
Integer
23 + -7
16
13 x -8=
-104
The temperature at 1:00 PM was 25 degrees. It dropped 5 degrees every hour for the next 6 hours. What is the temperature at 7:00 PM?
-5 degrees
COMBINE
A positive number that includes zero, but does not include fractions or decimals
Whole Number
-4 + 5 - (-8)
9
-220/5
-44
Andrew had a debt of 45 dollars in his bank. He then deposited 225 dollars. Last, he paid his electric bill of 112 dollars. What is his new balance?
68 dollars
When subtracting use the additive inverse.
Change this equation using the additive inverse/KAO
5 - 8=
5 + - 8 =
A number that includes all whole numbers, all integers, all natural numbers, terminating decimals, repeating decimals, and fractions
Rational Number
12.3 - (0.7) + (-6.8)=
4.8
(-5 x 7) x (-8)
280
The airplane ascended 15,230 feet. During some turbulence they descended 2,034 feet. After passing through the turbulence they ascended 5,450 feet. What is the plane's elevation?
18,646 feet
When adding: different signs =
Difference
Positive numbers, sometimes referred to as counting numbers, and do not include zero
Natural Numbers
-5 1/2 - 2 2/3 =
8 1/6
What is 5/12 as a decimal?
0.416666
Jess checked the weather at 8:00 AM. The temperature was -12 degrees. By noon the temperature had risen 25 degrees. At 3:00 PM another cold front came through and the temperature dropped 14 degrees. By 8:00 PM the temperature dropped another 12 degrees. What is the temperature at 8:00 PM?
-13 degrees
Positive divided by a negative =
Negative