Topic 8 Vocab

What is Commutative Property of Addition?

• addends can be regrouped and the sum remains the same

• numbers can be added in any order and

  the sum remains the same

• states that the sum of any number and zero is that same number

• two operations that undo each other

• numbers that are easy to add, subtract,

  multiply, or divide mentally

What is Associative Property of Addition?

• addends can be regrouped and the sum remains the same

• numbers can be added in any order and

  the sum remains the same

• states that the sum of any number and zero is that same number

• two operations that undo each other

• numbers that are easy to add, subtract,

  multiply, or divide mentally

What are inverse operations?

• addends can be regrouped and the sum remains the same

• numbers can be added in any order and

  the sum remains the same

• states that the sum of any number and zero is that same number

• two operations that undo each other

• numbers that are easy to add, subtract,

  multiply, or divide mentally

What is the identity property of addition?

• addends can be regrouped and the sum remains the same

• numbers can be added in any order and

  the sum remains the same

• states that the sum of any number and zero is that same number

• two operations that undo each other

• numbers that are easy to add, subtract,

  multiply, or divide mentally

What are compatible numbers?

• addends can be regrouped and the sum remains the same

• numbers can be added in any order and

  the sum remains the same

• states that the sum of any number and zero is that same number

• two operations that undo each other

• numbers that are easy to add, subtract,

  multiply, or divide mentally

Look at the sums that are shaded in the addition table. What property does it show and why?

• Doubles property of addition because the addends are equal. Doubles facts are always have an even sum.

• Associative property of addition because each addend increases by 2, so the sums are the same.

• Communitive property of addition because one addend increases by 1 and the other addend decreases by 1, so the sums are the same.

• Communitive property of addition because the order of the addends change. Changing the order of the addends does not change the sum.

Look at the sums that are shaded in the addition table. What property is it and why?

• Identity property of addition because each sum is equal to one of its addends because zero added to a number is that number.

• Zero property of multiplication because anything times 0 equals zero.

• Identity property of addition because each product is equal to one of its addends because zero added to a number is that number.

• Communitive property of addition because addends can be added in any order and the sum is the same.

Which patterns can you observe in this table? Check all that apply.

• The sum of two odd numbers is even.

• The sum of two even numbers is even.

• The sums in the rows can be found by skip counting by 1.

• The sums in the rows can be found by skip counting by 2.

• The sums in the rows increase by 2 because both addends increase by 1.

Which does this show? 58 + (23 + 46)= 23 + (46+ 58)

• associative property of addition

• communitive property of addition

• identify property of addition

• inverse operations

Which does this show? 45 + (36 + 25)= (45 + 36) + 25

• associative property of addition

• communitive property of addition

• identify property of addition

• inverse operations