Steps & Rules
Adding Rational Numbers
Subtracting Rational Numbers
Terminating/Repeating Decimals
I like to eat Appenges and Orples
100
What is the first step in subtracting this problem?
7 - 9
Keep the 7 the same, change subtraction to addition, make the 9 a negative
100
-7.824 + 23.5=
15.676
100
38.134 – 31.9=
6.234
100
What is the difference between a repeating and terminating decimal?
A repeating decimal will repeat at least one digit forever.
A terminating decimal will eventually stop and not go on forever.
100
Leo gets paid 25.
200
When adding or subtracting with fractions, what do you have to make sure both fractions have first?
A common denominator
200
-14 + -8
-22
200
- 20 - (-4) =
-16
200
Determine whether the following numbers terminate or repeat:
Repeats
Terminates
Repeats
Terminates
200
A scuba diver is 15.5 meters below sea level. She ascends 8.2 meters. What is her new position relative to sea level?
-7.3 meters
300
When adding or subtracting with a mixed number, what should it be turned into first?
An improper fraction
300
4 + (-3 1/2)
1/2
300
-3 3/4 - (-1/2)
-3 1/4
300
Convert the following fraction into its equivalent decimal. Is the decimal terminating or repeating?
2/11
Repeating
0.181818...
300
Represent the following problem on a number line (yes you have to draw it):
-6 - (-10)
*teacher check*
400
When adding rational numbers that have the same signs, what do I do with the absolute values? What sign does my answer have?
Add the absolute values
Keep the sign of both numbers
400
–33 + -4.5
-37.5
400
–3.37 – 9.668
-13.038
400
Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi. Write the fraction as an equivalent decimal. Is the decimal a rational number? Explain.
Yes it's rational because it repeats. The decimal is 0.1111...
400
Simplify:
-5/6 - (-0.8)
-1/30
500
When adding rational numbers that have the different signs, what do I do with the absolute values? What sign does my answer have?
Subtract the absolute values
The answer has the sign of the number with the greater absolute value
500
2 1/2 + (-6 2/3)
-4 1/6
500
5/6 - (-5 1/3)
6 1/6
500
Order from least to greatest.
12 7/8, 12.6, 12 5/6, 12.8
12.6
12.8
12 5/6
12 7/8
500
Dr. Price is studying sea life. The eels are found 1098 3/20 meters below sea level and the shrimp are found 2,784.75 meters below sea level. What is the distance between the eels and the shrimp?
1,686.6 meters