How can we use the concept:
Distributive property is a way to promote number sense and mental math strategies. For example, if you have the question 5 x 35, to use distributive property separate 35 by place value to 30 + 5. Then multiply 5 x 30 and 5 x 5, and add the products.
Sample Math Problems
Question 1:
Write the expression that represents the total area of the given image.
Answer:
To write an expression using distributive property, write 4 x (4 + 3)
To solve the expression:
4 x 4 = 16 and 4 x 3 = 12, then add the products together
16 + 12 = 28
Question 2:
Write an expression using the distributive property for 3 x 19.
Answer:
Separate 19 by place value to 10 + 9, then multiply both 10 and 9 by 3.
(3 x 10) + (3 x 9) this can also be written as 3 x (10 + 9)
Question 3:
Write an expression using the distributive property for 26 x 8.
Answer:
Separate 26 by place value to 20 + 6, then multiply both 20 and 6 by 8.
Separate 26 by place value to 20 + 6, then multiply both 20 and 6 by 8.
(20 x 8) + (6 x 8) this can also be written as 8 x (20 + 6)
Question 4:
Solve 9 x 63 using the distributive property.
Answer:
First separate 63 by place value to 60 + 3.
Next, write an expression using the distributive property, (9 x 60) + (9 x 3)
Then solve. 9 x 60 = 540 and 9 x 3 = 27, 540 + 27 = 567
