CPM Homework Help : CC1MN Problem 3-77

Use the Distributive Property to rewrite each product below. Simplify your answer.

Step 1 (a):
Write the above product as $(20 + 8)(60 + 3)$ and make a generic rectangle like the one at right. Generic rectangle: Top edge labeled: 20 on left, and + 8 on right. Left edge labeled: 60 on top, and + 3 on bottom. Interior sections are blank.
Step 2 (a):
Find the product for each part of the rectangle. Added to the Generic rectangle: Interior sections labeled as follows: top left: 20 times 60 = 1200; top right: 8 times 60 = 480. bottom left: 20 times 3 = 60. bottom right: 8 times 3 = 24.
Step 3 (a):
Sum the products: $1200 + 480 + 60 + 24$
Answer (a):
$1764$

$17(59)$
Hint (b):
Write this product as $(10 + 7)(50 + 9)$ and create a generic rectangle similar to the one for part (a).

$458(15)$

Hint (c):

You can use a generic rectangle like the one below to solve this problem.

Generic Rectangle

Top Edge Left is $400$

Top Edge Middle is $50$

Top Edge Right is $8$

Left Edge Top is $10$

Interior top left is blank $\\$ $\quad \\$

Interior top middle is blank $\quad \\$

Interior top right Is blank

Left Edge Bottom is $5$

Interior bottom left is blank

Interior bottom middle is blank

Interior bottom right is blank