Question

Rewrite the following expression using the given property

1. 12a-5a =

2. (7a)b =

3. 8+5 =

4. -4(1)=

5. 25+(-25)=

6. ([-2] + [1]) +3=

7. (2x5)x7=

8. 5x(8+5)=

9. -9(9)=

10. 3x⅓= ​

Answer 1

1)12a-5a = (12-5)a = 7a (using distributive property)

2)(7a)b = 7(ab) = 7ba (using associative property and the commutative property)

3)8+5 = 5+8 (using commutative property)

4)-4(1) = -4 (using identity property of multiplication)

5)25+(-25) = 0 (using additive inverse property)

6)([-2] + [1]) +3= -2 + (1+3) (using associative property of addition)

7)(2x5)x7= 2x(5x7) (using associative property of multiplication)

8)5x(8+5)= 5x8 + 5x5 (using distributive property)

9)-9(9) = -81 (using multiplication property of -1)

110)3x⅓= 1 (using multiplicative inverse property)