Let’s Practice!
Can you find the area using the distributive property?
Goal:
Goal:
You Can Do It!
Goal: Relate the area of a rectangle to multiplication and addition.
Remember, when you are solving an area problem, you can use the distributive property to multiply by the sum or the addends to get the same product.
An array of 5 columns and 7 rows of circles. \({7 \times 5}\) We can use the distributive property to make 5 \({(3 + 2)}\). Now we can mulitply using the distributive property \({(7 \times 3) + (7 \times 2) = 35}\) 35 is the answer, 35 is circled in red. There is a large yellow arrow pointing to how the distributive property is show in arrays. The first array is 3 collums and 7 rows. \({(7 \times 3)}\) plus an array of 2 columns and 7 rows \({(7 \times 2)}\) \({7 \times 3 = 21}\) and \({7 \times 2 = 14}\). Next we add \({21 + 14 = 35}\) The answer is 35. 35 is circled in red.
For each problem below, find the total area using the distributive property. Think of the addends that are used when we use the distributive property. Then, click on the sentence to check your work.
\({2 \times (3 + 2) = (2 \times 3) + (2 \times 2) = 6 + 4 = 10}\) square units
\({3 \times (9 + 6) = (3 \times 9) + (3 \times 6) = 27 + 18 = 45}\) square units
\({8 \times (6 + 2) = (8 \times 6) + (8 \times 2) = 48 + 16 = 64}\) square units
You know your multiplication facts of 1 through 10. Let’s use them to practice using the distributive property. Select the correct multiplication sentence for the area images.
Which multiplication sentences match the image?
- \({5 \times 3 + 2 = 17}\) square units
- \({5 \times (3 + 2) = 25}\) square units
- \({5 \times 3 = 15 + 5 = 20 + 2 = 22}\) square units
- \({5 \times 2 = 10 + 5 = 15 \times 3 = 45}\) square units
Remember that you multiply the width by the sum of the lengths.
Correct! You multiplied the width by the sum of the lengths.
Remember that you multiply the width by the sum of the lengths.
Remember that you multiply the width by the sum of the lengths.
Which multiplication sentences match the image?
- \({(4 \times 4) + 3 = 19}\) square units
- \({4 + (3 \times 4) = 16}\) square units
- \({(4 \times 3) \times (4 \times 4) = 192}\) square units
- \({(4 \times 3) + (4 \times 4) = 28}\) square units
Remember that you need to find the area of each portion and then add the products.
Remember that you need to find the area of each portion and then add the products.
Remember that you need to find the area of each portion and then add the products.
Correct! You found the area of each portion and then added the products.
Which multiplication sentences match the image?
- \({3 \times (2 + 1) = 9}\) square units
- \({3 \times 2 \times 1 = 6}\) square units
- \({2 \times (3 + 1) = 8}\) square units
- \({1 \times (3 + 2) = 5}\) square units
Correct! You multiplied the width by the sum of the lengths.
Remember that you multiply the width by the sum of the lengths.
Remember that you multiply the width by the sum of the lengths.
Remember that you multiply the width by the sum of the lengths.
Summary
Questions answered correctly:
Questions answered incorrectly: