Take Note Properties: Properties of Real Numbers

Let a, b, and c represent real numbers.

Problem 4 Identifying Properties of Real Numbers

Which property does the equation illustrate?

1. ( − 2 3 ) ( − 3 2 ) = 1 open , negative , 2 thirds , close . open , negative , 3 halves , close . equals 1

   The product of the numbers is 1.

   Inverse Property of Multiplication

2. ( 3 ⋅ 4 ) ⋅ 5 = ( 4 ⋅ 3 ) ⋅ 5 open 3 dot 4 close dot 5 equals open 4 dot 3 close dot 5

   The equation reorders 3 and 4.

   Commutative Property of Multiplication

✓ Got It?

4. 1. Which property does the equation 3(g + h) + 2g = (3g + 3h) + 2g illustrate?
   2. Reasoning Use properties of real numbers to show that a + [ 3 + ( − a ) ] = 3 . eh plus left bracket 3 plus open negative eh close right bracket equals 3 .  Justify each step of your solution.