The Distributive Property The distributive property is mental
The Distributive Property
The distributive property is mental math strategy that can be used when multiplying. 43 x 5 =?
Break apart the double-digit number. 43 x 5 =? 40 + 3
Then multiply each part by 5. 43 x 5 =? 40 x 5 + 3 x 5
Then multiply each part by 5. 43 x 5 =? 40 x 5 200 + 3 x 5 15
Finally, sum your two products 43 x 5 =215 40 + 3 x 5 200 + 15 = 215
Let’s look at another example. 53 x 6 = ?
Break apart the double-digit number. 53 x 6 = ?
Break apart the double-digit number. 53 x 6 = ? 50 + 3
Multiply each part by 6. 53 x 6 = ? 50 x 6 + 3 x 6
Multiply each part by 6. 53 x 6 = ? 50 x 6 300 + 3 x 6 18
Sum the two products. 53 x 6 = 318 50 + 3 x 6 300 + 18 = 318
There are three steps to the distributive property. 4 x 28 =
There are three steps to the distributive property. 4 x 28 = 1) Break apart the double-digit number.
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) 1) Break apart the double-digit number.
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4)
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) = (4 x 20) + (4 x 8) 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4)
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) = (4 x 20) + (4 x 8) 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4) 3) Sum the two products.
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) = 80 + (4 x 8) 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4) 3) Sum the two products.
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) = 80 + 32 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4) 3) Sum the two products.
There are three steps to the distributive property. 4 x 28 = 4 (20 + 8) = 80 + 32 = 112 1) Break apart the double-digit number. 2) Multiply each part by 4. (distribute the 4) 3) Sum the two products.
The word “distribute” means “to give out. ”
Distribute the cubes to the girls.
Distribute the cubes to the girls.
Distribute the cubes to the girls.
Distribute the cubes to the girls.
Distribute the cubes to the girls.
Distribute the cubes to the girls.
In this example, the 5 was distributed. 5 x 38 = 5 (30 + 8) = (5 x 30) + (5 x 8)
In this example, the 7 was distributed. 7 x 46 = 7 (40 + 6) = (7 x 40) + (7 x 6)
Practice Time
1) Which of the following expressions shows the distributive property for 5(3 + 7)? (5 + 3) x (5 + 7) (5 x 3) x (5 x 7) (5 x 3) + (5 x 7)
1) Which of the following expressions shows the distributive property for 5(3 + 7)? Correct! (5 x 3) + (5 x 7)
3) Which of the following expressions is equivalent to: 2+3+2+3 and shows the distributive property. 2+2+3+3 2 (2 + 3) 3 (2 + 3)
3) Which of the following expressions is equivalent to: 2+3+2+3 and uses the distributive property. 2 (2 + 3) Correct!
4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? 3 (4 + 8) 8 (3 + 4) 4 (3 + 8)
4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? Correct! 4 (3 + 8)
5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ? 3 (9 + 5) 5 (9 + 3) 9 (3 + 5)
5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ? 5 (9 + 3) Correct!
The End.
TCAP Practice:
TCAP Practice:
- Slides: 42