Answer :
To determine which expression is equivalent to [tex]\( P Q \)[/tex], we start by examining the options given:
- [tex]\( p + q \)[/tex]
- [tex]\( p - q \)[/tex]
- [tex]\( \frac{p}{q} \)[/tex]
- [tex]\( qp \)[/tex]
In mathematics, when variables or constants are placed side by side, such as [tex]\( PQ \)[/tex], it typically implies multiplication between them. Therefore, [tex]\( PQ \)[/tex] is the product of [tex]\( P \)[/tex] and [tex]\( Q \)[/tex].
Considering the options:
1. [tex]\( p + q \)[/tex]: This represents the sum of the two variables, which is not the same as multiplication.
2. [tex]\( p - q \)[/tex]: This represents the difference between the two variables, which is not equivalent to multiplication either.
3. [tex]\( \frac{p}{q} \)[/tex]: This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex], not multiplication.
4. [tex]\( qp \)[/tex]: This option shows the multiplication of [tex]\( q \)[/tex] and [tex]\( p \)[/tex], which matches the operation implied by [tex]\( PQ \)[/tex].
In terms of multiplication, [tex]\( pq \)[/tex] is the same as [tex]\( qp \)[/tex] because multiplication is commutative (the order doesn't matter).
Therefore, the expression equivalent to [tex]\( PQ \)[/tex] is [tex]\( qp \)[/tex].
- [tex]\( p + q \)[/tex]
- [tex]\( p - q \)[/tex]
- [tex]\( \frac{p}{q} \)[/tex]
- [tex]\( qp \)[/tex]
In mathematics, when variables or constants are placed side by side, such as [tex]\( PQ \)[/tex], it typically implies multiplication between them. Therefore, [tex]\( PQ \)[/tex] is the product of [tex]\( P \)[/tex] and [tex]\( Q \)[/tex].
Considering the options:
1. [tex]\( p + q \)[/tex]: This represents the sum of the two variables, which is not the same as multiplication.
2. [tex]\( p - q \)[/tex]: This represents the difference between the two variables, which is not equivalent to multiplication either.
3. [tex]\( \frac{p}{q} \)[/tex]: This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex], not multiplication.
4. [tex]\( qp \)[/tex]: This option shows the multiplication of [tex]\( q \)[/tex] and [tex]\( p \)[/tex], which matches the operation implied by [tex]\( PQ \)[/tex].
In terms of multiplication, [tex]\( pq \)[/tex] is the same as [tex]\( qp \)[/tex] because multiplication is commutative (the order doesn't matter).
Therefore, the expression equivalent to [tex]\( PQ \)[/tex] is [tex]\( qp \)[/tex].
