Exploring Alternative Methods of Multiplication and Division

What does the first number in a multiplication problem represent?

• The product

• The total number of objects

• The number of groups

• The number of objects in each group

How can you model the commutative property using arrays?

• By adding the same number repeatedly

• By rotating the array 90 degrees

• By grouping the last two numbers

• By distributing a factor to each addend

What does the distributive property allow you to do?

• Distribute a factor to each addend and then add

• Rotate arrays

• Group numbers in any order

• Change the order of factors

What is the value of 3 x 40 using tens place value coins?

• 12

• 120

• 1,200

• 12,000

Why is understanding the base 10 system important for multiplication?

• It helps in understanding repeated addition

• It is necessary for all mathematical operations

• It simplifies the concept of arrays

• It is only useful for division

Which method involves breaking a two-digit number into expanded form and distributing a single-digit number?

• Area model

• Partial products method

• Expanded form method

• Algebraic notation method

In the partial products method, where are the equations done?

• On paper

• In the student's head

• Using a calculator

• In an array

Why do we use a dot to represent multiplication in algebraic notation?

• To make it look more complex

• To differentiate from addition

• To simplify the equation

• To avoid confusion with the variable X

How can division be thought of in relation to subtraction?

• As multiplying

• As grouping

• As repeated subtraction

• As repeated addition

What is the first step in the area model method for division?

• Write the divisor at the top

• Multiply the top number by the divisor

• Write the dividend at the top of the first box

• Subtract the groups of the divisor