Exploring Open Arrays and Multiplication Strategies

What is an array used for in multiplication?

• To organize numbers in a sequence

• To represent multiplication visually

• To subtract numbers more efficiently

• To divide numbers into smaller parts

What makes an open array different from a closed array?

• It uses counters for each unit

• It represents numbers as a box without individual counters

• It can only be used for addition

• It is not useful for visual learners

What does an open array model visually represent?

• The division of square units

• The multiplication of numbers as areas

• The addition of lengths

• The subtraction of areas

How can you decompose the number 45 for multiplication?

• 45 + 0

• 40 + 5

• 5 + 40

• 50 - 5

What is the purpose of decomposing numbers in multiplication?

• To make them easier to multiply

• To change them into fractions

• To make them easier to subtract

• To increase their value

What are partial products in an open array model?

• The final result of multiplication

• Numbers that are difficult to multiply

• Parts of the total product from decomposed numbers

• The sum of all products in an array

How do you find the total product in an open array model?

• By multiplying the partial products

• By adding all the partial products together

• By dividing the partial products

• By subtracting the smallest partial product

What property is used when decomposing numbers in multiplication?

• Associative property

• Identity property

• Commutative property

• Distributive property

Why is the distributive property important in open array multiplication?

• It is only used for subtracting numbers

• It helps in distributing multiplication over addition

• It simplifies the division of numbers

• It allows for easier addition of numbers

How can the number 24 be decomposed for multiplication?

• 20 + 4

• 12 + 12

• 24 + 0

• 30 - 6