Properties of Multiplication

Mason, Michael, and Maya are having a debate about the commutative property of multiplication. Can you help them settle it?

• It means that changing the order of the factors does not change the product.

• It means that multiplying any number by 2 gives an even number.

• It means that multiplying any number by 0 gives 0.

• It means that multiplying any number by 1 gives the same number.

Emma, Abigail, and Noah are having a debate. Emma says that the associative property of multiplication means that changing the grouping of numbers being multiplied does not change the product. Is Emma correct?

• Yes, Emma is correct

• No, the associative property only applies to subtraction

• No, the associative property only applies to addition

• No, Emma is incorrect

Liam, Oliver, and Abigail are having a friendly competition to see who can solve this math problem the fastest: Simplify the expression using the distributive property: 3 * (4 + 2). Can you beat them to it?

• 12

• 36

• 18

• 24

Noah, Luna, and Maya are playing with blocks. Noah stacks 5 blocks, then Luna stacks 2 blocks on top, and finally Maya stacks 3 blocks. They notice that the total number of blocks is the same as if Luna had first stacked 2 blocks, then Noah stacked 5 blocks, and finally Maya stacked 3 blocks. Which property of multiplication does this demonstrate?

• Associative property

• Commutative property

• Distributive property

• Identity property

Imagine this: Jackson, Aiden, and Arjun are having a friendly debate. They're discussing the commutative property of multiplication. Jackson says that changing the order of the factors does not change the product. Is Jackson right or wrong?

• No, Jackson is wrong.

• The commutative property of multiplication only applies to addition.

• Yes, but only because changing the order of the factors changes the product.

• Yes, Jackson is right.

Emma, Aria, and Grace are playing a game of numbers. Emma challenges Aria and Grace to simplify the expression using the distributive property: 2 * (7 + 3). Can you help them solve it?

• 23

• 20

• 14

• 70

Imagine Benjamin, Samuel, and Abigail are playing a game of multiplying numbers. They discovered a property where the grouping of numbers being multiplied does not affect the result. Can you guess what this property is called?

• They discovered the associative property of multiplication, which states that the order of the numbers being multiplied does not matter.

• They discovered the associative property of multiplication, which states that the result of multiplying two numbers is always greater than the sum of the two numbers.

• They discovered the associative property of multiplication, which states that the grouping of numbers being multiplied does not affect the result.

• They discovered the associative property of multiplication, which states that the result of multiplying two numbers is always smaller than the sum of the two numbers.

Benjamin, Henry, and Jackson are having a debate. Benjamin says that 4 * (3 + 2) equals (4 * 3) + (4 * 2) because of a certain property of multiplication. Can you help them figure out which property Benjamin is referring to?

• Commutative property

• Associative property

• Identity property

• Distributive property

Abigail, Ethan, and Benjamin are having a debate. Abigail says, 'The distributive property of multiplication states that multiplying a number by the sum of two other numbers is equal to multiplying the number by each of the two numbers and then adding the products.' Is Abigail correct?

• Abigail is incorrect. The distributive property of multiplication states that multiplying a number by the sum of two other numbers is equal to multiplying the number by each of the two numbers and then subtracting the products.

• Abigail is incorrect. The distributive property of multiplication states that multiplying a number by the difference of two other numbers is equal to multiplying the number by each of the two numbers and then subtracting the products.

• Abigail is correct.

• Abigail is incorrect.

Grace, Benjamin, and Luna are playing a game of 'Math Wizards'. Grace casts a spell that multiplies a number by 6, and Benjamin casts a spell that adds 2 and 5. If Luna combines both spells, what is the result? In other words, simplify the expression: 6 * (2 + 5).

• 42

• 13

• 12

• 56