Exploring the Distributive Property of Multiplication

What does the word 'distribute' mean in the context of the distributive property?

• To divide items equally

• To remove items from a group

• To hand out items to everyone

• To collect items together

In the distributive property, what operation is performed between the number outside the parentheses and each term inside the parentheses?

• Division

• Addition

• Subtraction

• Multiplication

What is the first step in the box method for the expression 3(a + b)?

• Add a and b

• Multiply 3 by a

• Set up the chart

• Multiply 3 by b

In the expression 3(a + b), what does the '3' represent?

• A term

• A constant

• A coefficient

• A variable

When setting up the chart for the distributive property, what do you place in each box?

• The sum of the terms

• The product of the number and each term

• The quotient of the number and each term

• The difference of the terms

Why can't you combine the terms 3a and 3b in the expression 3a + 3b?

• Because they are already simplified

• Because they are both negative

• Because they are both positive

• Because they are not like terms

What is the result of multiplying 3 by a and 3 by b in the expression 3(a + b)?

• 3a + 3b

• 3a - 3b

• 3a * 3b

• 3a / 3b

What method is suggested for practicing the distributive property with numbers?

• The subtraction method

• The division method

• The addition method

• The box method

Using the box method, what is the result of 10 times 3 plus 3 times 3?

• 39

• 36

• 33

• 42

What is the final result when you add 30 and 9 in the box method?

• 49

• 59

• 39

• 27