Ch. 1.3 | Adding Rational Numbers

Question 1

Addend

Answer 1

Each number being added in the addition of natural numbers.

Question 2

Additive Identity Property

Answer 2

a + 0 = 0 + a = a

The sum of any number and zero is that number.
3 + 0 = 0 + 3 = 3

Question 3

Additive Inverse Property

Answer 3

a + (-a) = 0

The sum of any number and its additive inverse (opposite) is zero.
3 + (-3) = 0

Question 4

Associative Property of Addition

Answer 4

(a + b) + c = a + (b + c)

If you group numbers together differently when adding, the sum is the same.
2 + 9) + 4 = 2 + (9 + 4

Question 5

Commutative Property of Addition

Answer 5

a + b = b + a

If you add two numbers together in different orders, the sum is the same.
3 + 5 = 5 + 3

Question 6

Identity

Answer 6

(or mathematical property) is an equation or statement that is true for any value of the variable.

Question 7

Mathematical property

Answer 7

(or identity) is an equation or statement that is true for any value of the variable.

Question 8

Sum

Answer 8

The answer of the addition of natural numbers.