Question

$\text{Which of the following is true for the}\text{commutativity of addition and}\text{multiplication of the numbers 7 and}\frac{13}{2}?$

• A. $7+\frac{13}{2}=\frac{13}{2}+7$
• B. $7+(\frac{13}{2}+8)=(7+\frac{13}{2})+8$
• C. $7\times \frac{13}{2}=\frac{13}{2}\times 7$
• D. $7-\frac{13}{2}=\frac{13}{2}-7$

Answer 1

Answer: (A), (C)

The correct options are
A $7+\frac{13}{2}=\frac{13}{2}+7$
C $7\times \frac{13}{2}=\frac{13}{2}\times 7$

$\text{Given numbers:}7\text{and}\frac{13}{2}\text{Let a = 7 and b =}\frac{13}{2}$

$\text{Commutativity of addition states that,}a+b=b+a\Rightarrow 7+\frac{13}{2}=\frac{13}{2}+7$

$\text{Commutativity of multiplication}\text{states that}a\times b=b\times a\Rightarrow 7\times \frac{13}{2}=\frac{13}{2}\times 7$