Distributive
Use the distributive property to show how 3×7 can be broken into 3×5 plus 3×2. What is the sum?
3×5+3×2=15+6=21
What does the commutative property tell us about 2×5 and 5×2? Are they the same or different? Give the product.
Same; both equal 10
Use the associative property to show that (2×3)×4 equals 2×(3×4). Compute both ways.
(2×3)×4=6×4=24 and 2×(3×4)=2×12=24
What is the identity property of multiplication? Use it to find 7×1.
Identity: multiplying by 1 keeps the number; 7×1=7
Lucy has 3 bags with 4 apples in each. How many apples total? (Write and solve.)
3×4=12 apples
Use the distributive property to find 4×12 by splitting 12 into 10 and 2. Show the multiplication and the final answer.
4×10+4×2=40+8=48
Use the commutative property to rewrite 3×8 as a different order and give the product.
3×8=8×3=24
Show that (1×5)×6 equals 1×(5×6). What is the product?
(1×5)×6=5×6=30 and 1×(5×6)=1×30=30
What is the zero property of multiplication? Use it to find 9×0.
Zero property: any number times 0 is 0; 9×0=0
A class has 4 rows of desks and 5 desks in each row. How many desks total? (Write and solve.)
4×5=20 desks
Use the distributive property to compute 6×14 by splitting 14 into 10 and 4. Show the steps and answer.
6×10+6×4=60+24=84
Which is easier to compute: 9×4 or 4×9? Use the commutative property to explain and give the product.
Either order; product 36
Compute (2×4)×3 and 2×(4×3) to show the associative property with the same answer.
Both equal 24
Use the identity property to find 1×38. Explain why the answer makes sense.
1×38=38
There are 6 boxes with 8 crayons each. How many crayons are there altogether? (Write and solve.)
6×8=48 crayons
Use the distributive property to find 7×8 by splitting 8 into 5 and 3 (hint: use 7×5 + 7×3). Show the steps and final answer.
7×5+7×3=35+21=56
Explain why 12×3 equals 3×12 and calculate the product.
12×3=3×12=36
Using the associative property, find the product of 3×5×2 by grouping to make calculation easier. Show your grouping and answer.
Group as (3×5)×2=15×2=30 or 3×(5×2)=3×10=30
If 0×27=? and 1×27=?, write both results and explain the properties used.
0×27=0 (zero property); 1×27=27 (identity)
A farmer plants 7 rows with 9 plants in each row. How many plants? (Write and solve; show any strategies you use.)
7×9=63 plants
A teacher has 5 boxes with 9 pencils each. Use the distributive property to compute 5×9 by splitting 9 into 5 and 4, and write the full calculation and answer.
5×5+5×4=25+20=45
Use the commutative property to help find the product of 5×4. Write both orders and the answer.
5×4=4×5= 20
Three groups have sizes 2,6,and 5. Use associativity to compute 2×6×5 in the easiest order and give the product.
Best grouping: (2×5)×6=10×6=60 so product is 60
A baker made 0 batches of cookies with 12 cookies per batch. Use the zero property to write the multiplication expression and answer. Then write an example showing the identity property with the number of cookies in 1 batch of 12.
0×12=0; identity example: 1×12=12
A store sells packs of 12 markers. If a teacher buys 5 packs, how many markers does the teacher have? Show your work and any strategies (such as distributive property or grouping) you used to solve it
5×12=60 markers