Download Operations With Integers, Fractions and Decimals

Operations with Integers, Fractions and Decimals
Multiplying/Dividing Integers
Adding/Subtracting Fractions
Same signs the answer is positive
If you have common denominators:
Ex: 3 x 5 = 15
-3 x -5 = 15
Add the numerators using integer rules
15  3 = 5
-15  -3 = 5
-1 + -3 = -4 = -2
6
6
6
3
Different signs the answer is negative
Ex: -3 x 5 = -15
3 x -5 = -15
-15  5 = -3
15  -5 = -3
If you don’t have common denominator,
Find the common denominator and
make equivalent fraction
+
-
-
-
+
-
-
-
+
1 + - 1 = 3 + -1 = 2 = 1
2
6
6
6 6
6
Multiplying Decimals
Calculate vertically
Adding/Subtracting Decimals
Line up the decimals
Count the number of decimal places
Move the decimal in the answer
Use the integer rules
Add zeroes when needed
23.5 + 8.04 =
Decide the sign using integer
rules for X 
14.2 - 3.65 =
Work
123.50
Ex
8.4 x .5 =
12.4  .2 =
28.4
X
.5
4. 2 0
.2
6 2.
1 2. 4
12
04
4
0
+
8.04
3 1.54
13 4. 11210
-
3. 6 5
1 0. 5 5
Multiplying Fractions
Dividing Fractions
Multiply the numerators
Change the problem to multiplication (x)
Multiply the denominators
Flip the second fraction to its reciprocal
Decide the sign using the integer rules
Decide the integer rule
Ex:
-2
3
x 3 =
5
-6 = -2
15
5
Ex: :
3
Turn mixed numbers into improper fractions
Ex: - 2 2 x
3
- 8
3
x
-3 1
2
-7
2
=
=
56
6
=
9
-2

3 =
5
- 2 x 5 = -10 = - 1 1
3
3
9
9
***Change mixed numbers first then follow
these rules
2
6