Certainly! Let's convert the given expressions into proper algebraic notation.
a) [tex]\( m \times p \)[/tex]
In algebraic notation, when we say "times," it usually refers to multiplication between two variables [tex]\( m \)[/tex] and [tex]\( p \)[/tex]. Multiplication can be denoted using a dot (⋅), an asterisk (), or by simply writing the variables next to each other when it is clear they are being multiplied. The most common form in algebraic notation is without any symbol, just writing them next to each other. Therefore, the expression [tex]\( m \times p \)[/tex] can be written as:
[tex]\[ m \cdot p \quad \text{or} \quad m p \quad \text{or simply} \quad mp \][/tex]
b) [tex]\( m \div p \)[/tex]
In algebraic notation, "divided by" refers to division between two variables [tex]\( m \)[/tex] and [tex]\( p \)[/tex]. Division is typically expressed using a fraction. Therefore, the expression [tex]\( m \div p \)[/tex] can be written as:
[tex]\[ \frac{m}{p} \][/tex]
Putting it all together, we have:
a) [tex]\( mp \)[/tex]
b) [tex]\( \frac{m}{p} \)[/tex]
