What operation does the word product represent? And the word quotient?
19/3t
Practice makes perfect
The key phrases are the product of and the quotient of. The first phrase indicates that we should multiply two things.
...*...
We are asked to multiply an arbitrary number t "and the quotient of " two values.
t*(... Ă· ...)
The phrase the quotient of means that we should divide two numbers. Therefore, we will divide 19 by 3. We can now complete our expression.
the product of t andthe quotient of 19 and 3
t *( 19 Ă· 3)
Whenever we multiply by a quantity, we can drop the multiplication symbol and place the quantity between parentheses.
t(19Ă· 3)
We can rewrite a division as a fraction.
t(19÷ 3) ⇔ t(19/3)
Finally, let's apply Commutative Property of Multiplication.
t(19/3) ⇔ 19/3 t
