Properties Of Number Systems

Question 0

What does the commutative property of addition & multiplication tell us?

(commuting - changing position or order)

Answer 0

Order does not matter

A + B = B + A

A x B = B x A

Question 1

What is the distributive property?

What is the opposite?

Answer 1

A (B + C) = AB + AC

Factoring is the opposite

Question 2

What does the associative property
of addition & multiplication tell us?

(Associate - group with ppl)

Answer 2

Grouping does not matter

A + (B + C) = (A + B) + C

A x (B x C) = (A x B) x C

Question 3

What does the identity property of addition tell us?

Answer 3

Any number plus 0 equals itself

4 + 0 = 4

Question 4

What does the identity property of multiplication tell us?

Answer 4

Any number times 1 is itself

4 x 1 = 4

Question 5

What does the additive inverse property tells us?

Answer 5

Any number plus its additive inverse equals 0

4 + -4 = 0

Question 6

What does the multiplication inverse property tell us?

Answer 6

Any number times its multiplicative inverse (reciprocal) equals 1

4 x 1/4 = 1