Exploring Properties of Addition for Grade 3

Why are students not required to memorize the formal terms for addition properties in third grade?

• Because they are too difficult to understand.

• Because the state standard does not require it.

• Because they are not important.

• Because the teacher does not want to teach them.

What is the commutative property of addition?

• The property that states grouping of numbers does not change the sum.

• The property that states the order of numbers does not change the sum.

• The property that states subtraction is the opposite of addition.

• The property that states adding zero to a number gives the number itself.

Which of the following is an example of the commutative property?

• 4 + 1 = 5

• 1 + (2 + 3) = (1 + 2) + 3

• 3 + 0 = 3

• 2 + 3 = 3 + 2

Which property is demonstrated by the equation 1 + 2 + 3 = 3 + 2 + 1?

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

What does the associative property of addition involve?

• Changing the order of numbers.

• Adding zero to a number.

• Grouping numbers with parentheses.

• Subtracting numbers.

In the expression (3 + 1) + 2, which part should be solved first according to the associative property?

• 3 + 1

• 1 + 2

• The entire expression at once

• 3 + 2

What should be done first in the expression 3 + (1 + 2) according to the associative property?

• The entire expression at once

• 3 + 2

• 3 + 1

• 1 + 2

What does the identity property of addition state?

• Adding one to a number gives the next number.

• Changing the order of numbers does not change the sum.

• Adding zero to a number gives the number itself.

• Grouping numbers with parentheses does not change the sum.

Which of the following is an example of the identity property?

• 4 + 1 = 5

• 1 + 2 = 2 + 1

• 3 + 0 = 3

• 1 + (2 + 3) = (1 + 2) + 3

Why is it important to recognize addition properties?

• To confuse students.

• To make math more difficult.

• To understand the underlying concepts of addition.

• To memorize the terms for exams.