September 21, 2015
Lesson 3-1
Properties of
Operations
 Scissors
 Glue
Process Standard:
5.1D - ideas, reasoning, and their implications using multiple
representations, including symbols, diagrams, graphs, and
language as appropriate
Standard:
5.3E and 5.3H - solve for sums and products using properties of
operations
Commutative Property of Addition
When adding, changing
the order doesn’t
change the sum.
Associative Property of Addition
When adding more than
2 numbers, the
grouping of the
numbers does not
change the sum.
Identity Property of Addition
Adding zero to a
number does not
change its value.
Commutative Property of Multiplication
When multiplying, changing
the order doesn’t change
the product.
Associative Property of Multiplication
When multiplying more than 2
numbers, the grouping of
the numbers does not
change the product.
Identity Property of Multiplication
Multiplying a number by 1
does not change its value.
Distributive Property
Multiplying a number by
a sum (or difference)
is the same as
multiplying by each
number in the sum (or
difference) and then
adding (or
subtracting) the
products.
Name the property being shown.
1. 3 + 16 = 16 + 3 ____________________________
2. 3 × 85 = 3 × (80 + 5)________________________
3. 8 + 0 = 8 ____________________________
4. 3 × 12 × 2 = 3 × 12 × 2 ____________________
Name the property being shown.
5. 91 × 1 = 91 ____________________________
6. 13 + 4 + 6 = 13 + (4 + 6)____________________
7. 12 × 8 = 8 × 12 ____________________________
8. 8 × 6 − (8 × 4) = 8 × 6 − 4 __________________
Complete the example using given the property.
9. Identity Property of Addition
42 =________________
10. Commutative Property of Multiplication
15 × 8 =_______________
11. Associative Property of Addition
2 + 8 + 4 = ______________
Complete the example using given the property.
12. Distributive Property
4 × (12 + 8) =________________
13. Associative Property of Multiplication
15 × (2 × 3) =_______________
14. Commutative Property of Addition
12 + 8 = ______________
Properties ws 1