Understanding Expressions and Properties

Lesson Four focuses on writing products as sums and vice versa, emphasizing the manipulation of expressions to create equivalent forms. The lesson covers techniques for rewriting expressions as products of factors, using division to identify factors, and applying the distributive property. It also explores using rectangular arrays to find missing information and write expressions, highlighting the importance of understanding relationships between numbers and operations.

What is the main goal of writing products as sums and sums as products?

• To memorize mathematical formulas

• To understand the relationship between numbers and operations

• To make problems more complex

• To avoid using multiplication

How can you determine what you are multiplying by when rewriting expressions?

• By adding the terms

• By subtracting the terms

• By dividing the terms

• By multiplying the terms

What is the result of dividing 72t by 2?

• 36t

• 72t

• 9t

• 18t

Which of the following is a factor of both 72t and 8?

• 5

• 2

• 4

• 3

What is the equivalent expression for 36Z + 72 when divided by 9?

• 12Z + 24

• 9Z + 18

• 18Z + 36

• 4Z + 8

How can you rewrite the expression 3R + 3S?

• 3(R + S)

• 3R + S

• R + S

• 6(R + S)

What is the missing side length in the rectangular array if 2 * 12D equals 24D?

• 12D

• 24D

• 3D

• 6D

What does the distributive property help you do with expressions?

• Add terms together

• Subtract terms

• Multiply terms within parentheses

• Divide terms

How is the area of a rectangular array related to its length and width?

• Area is the quotient of length and width

• Area is the product of length and width

• Area is the difference between length and width

• Area is the sum of length and width

What is the equivalent expression for 24D + 8E + 6 using the distributive property?

• 4(6D + 2E + 1.5)

• 2(12D + 4E + 3)

• 6(4D + 1.33E + 1)

• 3(8D + 2E + 2)