Answer:
13. [tex]50+43=43+50[/tex]
14. [tex]5+(7+6)=(5+7)+6[/tex]
15. [tex]-15+0=0-15=-15[/tex]
16. [tex]\frac{3}{4}*\frac{4}{3}=1[/tex]
17. [tex]25*4=4*25[/tex]
Step-by-step explanation:
Let "a", "b", and "c" real numbers.
- Commutative Property of Addition states that:
[tex]a+b=b+a[/tex]
- Associative Property of Addition states that:
[tex](a+b)+c=a+(b+c)[/tex]
- Additive Identity Property states that:
[tex]a+0=0+a=a[/tex]
- Commutative Property of Multiplication states that:
[tex]a*b=b*a[/tex]
- Multiplicative Inverse Property states that:
[tex]a*\frac{1}{a}=1[/tex] ([tex]a\neq 0[/tex])
Knowing these properties, we can solve the exercise:
13. By the Commutative Property of Addition:
[tex]50+43=43+50[/tex]
14. By the Associative Property of Addition:
[tex]5+(7+6)=(5+7)+6[/tex]
15. By the Additive Identity Property:
[tex]-15+0=0-15=-15[/tex]
16. By the Multiplicative Inverse Property:
[tex]\frac{3}{4}*\frac{4}{3}=1[/tex]
17. By the Commutative Property of Multiplication:
[tex]25*4=4*25[/tex]
