Understanding Properties in Math

What does the commutative property of addition state?

• The sum changes when the order of addends changes.

• The sum is always one.

• The sum remains the same when the order of addends changes.

• The sum is always zero.

Which property of multiplication states that the product remains the same when the order of factors changes?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

How does the associative property of multiplication affect the product?

• The product is always zero.

• The product remains the same when the grouping of factors changes.

• The product is always one.

• The product changes when the grouping of factors changes.

In the real-world problem discussed, which properties are used to simplify the addition of bones in the human body?

• Commutative and Identity Properties

• Commutative and Associative Properties

• Distributive and Identity Properties

• Associative and Distributive Properties

What is the main advantage of using the commutative property in mental math?

• It makes division faster.

• It helps in rearranging numbers for easier addition.

• It simplifies multiplication.

• It allows for easier subtraction.

What is the distributive property in mathematics?

• The order of factors does not change the product.

• The product of any number and one is that number.

• The sum of any number and zero is that number.

• Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

How can the distributive property be used with subtraction?

• By multiplying the sum of factors.

• By subtracting the products of each factor.

• By dividing the sum of factors.

• By adding the products of each factor.

In the example of using the distributive property with 8 times 59, what is the first step?

• Subtract 8 from 59.

• Multiply 8 by 50.

• Multiply 8 by 9.

• Add 8 and 59.

What is the result of using the distributive property to solve 8 times 59 using subtraction?

• 450

• 400

• 480

• 472

How can you use mental math to find the product of 3 times 299?

• Multiply 3 by 100 and add 199.

• Multiply 3 by 298 and add 3.

• Multiply 3 by 299 directly.

• Multiply 3 by 300 and subtract 3.