Word Problems
There are 5 bags with 4 marbles in each bag. How many marbles are there altogether?
Answer: 20 marbles (5 × 4 = 20)
What property of multiplication is shown by (3 X 5 = 5 X 3)?
Answer: Commutative property. The factors can switch places.
An array has 3 rows and 4 columns. How many objects are in the array? Draw the array.
Answer: 12 objects (3 × 4 = 12)
A rectangle has 4 rows and 3 columns of square units. What is its area?
Answer: 12 square units (4 × 3 = 12)
Find the missing number: ___ X 5 = 25.
Answer: 5
A teacher has 36 pencils and shares them equally among 6 tables. How many pencils does each table receive?
Answer: 6 pencils (36 ÷ 6 = 6)
Solve 2 X (4 X 5). How could you regroup the factors to make the problem easier?
40. Regroup as (2 × 4) × 5 = 8 × 5 = 40. This demonstrates the associative property.
Draw an array that represents 4 X 6. How many objects are in your array?
Answer: 24 objects. Students may draw 4 rows of 6 or 6 rows of 4.
A rectangular garden is 6 feet long and 4 feet wide. What is the area of the garden?
Answer: 24 square feet (6 × 4 = 24)
Find the missing number: 42/___ =7.
Answer: 6, because 42 ÷ 6 = 7.
There are 4 classrooms with 8 students in each classroom. If 5 students from each classroom leave early, how many students remain altogether?
Answer: 12 students. (4 × 8 = 32; 4 × 5 = 20; 32 − 20 = 12)
Use the distributive property to solve 6 X 7 by breaking 7 into 5 + 2.
Answer: (6 × 5) + (6 × 2) = 30 + 12 = 42.
An array has 24 objects arranged in 4 equal rows. How many objects are in each row? Write a division equation to prove your answer.
Answer: 6 objects in each row; 24 ÷ 4 = 6.
A rectangle has an area of 35 square units and a width of 5 units. What is its length? Explain how you know.
Answer: 7 units (35 ÷ 5 = 7).
The numbers 4, 8, and 32 belong to the same fact family. Write all four multiplication and division equations.
Answer: 4 × 8 = 32; 8 × 4 = 32; 32 ÷ 4 = 8; 32 ÷ 8 = 4.