A.1 Rational Numbers
What is Absolute Value?
The distance between a number and zero on a number line.
If the signs are the same, how do we add integers?
Add the numbers like normal
Keep the sign
-1 3/8 + 3/4
show your work
-1 3/8 + 3/4
-11/8 + 3/4
-11/8 + 6/8
-5/8
What is the first step when subtracting integers?
KCC
Keep Change Change
***if it is addition, we do NOT change it***
-2.1 - 3.9
show your work
-2.1 - 3.9
KCC
-2.1 + (-3.9)
6
l5l =
l-6l=
5
6
If the signs are different, how do we add integers?
Subtract the numbers like normal
Keep the sign of the larger number
1.65 + (-0.9)
show your work
1.65 + (-0.9)
subtract & keep the sign of the larger number
0.75
-6 - (-7)
show your work
-6 - (-7)
Keep Change Change
-6 + 7
1
-1 3/8 - 8 1/2 - (-6 7/8)
show your work
-1 3/8 - 8 1/2 - (-6 7/8)
KCC
-1 3/8 + (-8 1/2) + 6 7/8
Commutative property
-1 3/8 + 6 7/8 + (-8 1/2)
5 4/8 + (-8 1/2)
reduce
5 1/2 + (-8 1/2)
subtract & keep the sign of the largest number
-3
Complete the statement using <,>,=
|-1/2| **** |1/4|
1/2 > 1/4
-8+(-5)
7+14
-13
21
show your work
-4.3 + 4/5 + 12
-4 3/10 + 4/5 + 12
-4 3/10 + 8/10 + 12
-43/10 + 8/10 + 12
-35/10 + 120/10
85/10
8 5/10
8 1/2
-39 + 46 - (-39)
show your work
-39 + 46 - (-39)
use commutative property
-39 - (-39) + 46
KCC
-39 + 39 + 46
0 + 46
46
12 2/5 - 17 1/3
show your work
12 2/5 - 17 1/3
common denominator
12 6/15 - 17 5/15
KCC
12 6/15 + (-17 5/15)
improper fractions
186/15 + (-260/15)
subtract & keep the sign of the largest number
-74/15
-4 14/15
Put the following numbers in order from least to greatest
-3.5, |-4.2|, 5, |2.5|, 0
-3.5, 0, |2.5|, |-4.2|, 5
6+(-3)
-40+5
3
-35
-1 1/5 + (-3/5)
show your work
-1 1/5 + (-3/5)
-1 4/5
A scientist records the water temperature and air temperature in Antarctica. The water temperature is -2'C. The air is 9'C cooler. Find the air temperature.
show your work
-2 + (-9)
-11'C
Your water bottle is 5/6 full. After tennis practice, the bottle is 3/8 full. How much water did you drink?
5/6 - 3/8
common denominator
20/24 - 9/24
11/24 of the bottle of water
Explain how a>b and |a|<|b| can both be true statements.
If b is a negative number, then |b| can be a larger number than |a|.
Find the sum of -13 + 27 + (-18)
show your work
Do you use associate or commutative property?
Use the commutative property to change the ORDER
-13 + (-18) + 27
-31 + 27
-4
Your bank account is -$20.85. You deposit $15.50. What is you new balance?
-$20.85 + $15.50
-$5.35
Your account starts with a balance of $55. Find your balance after you make the following transactions:
Withdraw $25
Deposit $125
Withdraw $50
Deposit $25
55 - 25 + 125 - 50 + 25
KCC
55 + (-25) + 125 + (-50) + 25
Commutative property to change the order
55 + 125 + 25 + (-25) + (-50)
205 + (-75)
subtract & keep the sign of the largest number
130
The balance in my account is $130
You are 5 1/4 feet tall. You must be at least 5 3/4 feet tall to ride a roller coaster. How much taller you must be to ride the roller coaster?
5 3/4 - 5 1/4
KCC
5 3/4 + (-5 1/4)
2/4
1/2
I must be 1/2 inch taller to ride the roller coaster