Zero & Missing Factors
What is 7 x 0?
0
Find the product: 2 x 3 x 4.
24. For example, (2 x 3) x 4 = 6 x 4 = 24.
Fill in the blank: 7 x 6 = 7 x (5 + __).
1, because 5 + 1 = 6.
A rectangle has 4 rows of 6 unit squares. What is its area?
24 square units, because 4 x 6 = 24.
Find the product: 7 x 7.
49
Mia has 6 empty boxes. Each box has 0 crayons. Write a multiplication expression and find the total.
6 x 0 = 0 crayons
Fill in the blank: (3 x 4) x 5 = 3 x (4 x __).
5
Fill in the blank: 4 x 9 = (4 x 5) + (4 x __).
4, because 5 + 4 = 9.
A 5-by-7 rectangle is split into a 5-by-4 part and one more part. What multiplication expression matches the other part?
5 x 3. The missing width is 3 because 4 + 3 = 7.
Use 10 groups to solve: 9 x 4 = (10 x 4) - (1 x 4) = __.
36, because 40 - 4 = 36.
Fill in the blank: (4 x 3) x 2 = 4 x (__ x 2).
3. The factors stay the same; only the grouping changes.
Which TWO expressions equal 2 x 5 x 6?
A. (2 x 5) x 6
B. 2 + (5 x 6)
C. (6 x 2) x 5
D. (2 + 5) x 6
A and C. Both have a product of 60.
Complete the equation: 6 x 7 = (6 x 5) + (6 x 2) = __ + __ = __.
30 + 12 = 42.
An array has 8 rows with 3 dots in each row. It is split into 5 rows and 3 rows. Write an equation using the two parts. Find the total.
(5 x 3) + (3 x 3) = 15 + 9 = 24 dots.
Which TWO expressions find the total for 9 rows of 3 stickers?
A. 5 x 3
B. 9 x 3
C. (5 x 3) + (4 x 3)
D. (9 x 3) + (9 x 3)
B and C. Both equal 27 stickers.
Fill in BOTH blanks: 8 x __ = 0 and __ x 5 = 0.
0 in both blanks.
Find 5 x 3 x 2. Which two factors can you multiply first to make 10?
Multiply 5 and 2 first: (5 x 2) x 3 = 10 x 3 = 30.
Which TWO expressions break apart 8 x 6 correctly?
A. (5 x 6) + (3 x 6)
B. (8 x 4) + (8 x 2)
C. (8 x 4) x (8 x 2)
D. (5 x 6) + (2 x 6)
A and B. Each equals 48. In A, 5 + 3 = 8. In B, 4 + 2 = 6.
A rug is 6 feet long and 4 feet wide. Split the 6-foot side into 2 feet and 4 feet. Find the area of each part and the whole rug.
2 x 4 = 8 square feet; 4 x 4 = 16 square feet; 8 + 16 = 24 square feet in all.
Jay writes 7 x 9 = (7 x 5) + (7 x 3). What should he change? Find the correct product.
Change 3 to 4 because 5 + 4 = 9. Then (7 x 5) + (7 x 4) = 35 + 28 = 63.
Leo says 9 x 0 = 9 because 9 + 0 = 9. Is he correct? Explain.
No. 9 x 0 = 0. Nine groups with zero in each group have nothing in all. Multiplication and addition follow different rules here.
Ava solves 3 x 2 x 4 as (3 x 2) x 4. Ben solves it as 3 x (2 x 4). Who is correct? Find the product.
Both are correct. Ava gets 6 x 4 = 24. Ben gets 3 x 8 = 24. Regrouping the same factors does not change the product.
Fill in every blank: 7 x 8 = 7 x (5 + __) = (7 x __) + (7 x __) = __ + __ = __.
In order: 3, 5, 3, 35, 21, 56.
Which THREE split rectangles have the same area as a 6-by-8 rectangle?
A. A 6-by-5 part and a 6-by-3 part
B. A 6-by-8 part and another 6-by-8 part
C. A 2-by-8 part and a 4-by-8 part
D. A 6-by-4 part and another 6-by-4 part
E. A 3-by-8 part and another 4-by-8 part
A, C, and D. Each totals 48 square units. B totals 96 and E totals 56.
Which THREE expressions can help solve 9 x 7?
A. (5 x 7) + (4 x 7)
B. (9 x 5) + (9 x 2)
C. (10 x 7) - (1 x 7)
D. (9 x 5) x (9 x 2)
E. (5 + 7) x (4 + 7)
A, B, and C. A: 35 + 28 = 63. B: 45 + 18 = 63. C: 70 - 7 = 63.