Question

How do you translate “\[5\]divided by the product of \[x\] and \[y\]” into an algebraic expression?

Answer 1

Hint: In order to translate “\[5\] divided by the product of \[x\] any \[y''\] into algebraic expression first of all we have to understand the algebraic meaning of the terms like product of, divided by, addition of, subtraction, of. Here we have given terms are product of, divided by which means that for any variable or number \[a\] and \[b\] product of \[a\]and \[b\] means \[a\]is multiplied by \[b\] or \[b\]is multiplied by \[a\] and for any variable \[a\]and \[b\]. \[a\]is divided by \[b\] means that \[b\] divides a that is \[\dfrac{a}{b}\]. So, using these we can translate the given expression into an algebraic expression.

Complete step by step solution:
As we know that product of \[x\] and \[y\] is multiply \[x\] with \[y\] and it can be written as \['xy'\]
So, product of \[x\] and \[y\] can be translate in algebraic expression as \['xy'\]
Now, \[5\] is divided by \[xy\] which means that \[xy\] divides \[5\] and it can be written as \[\dfrac{5}{xy}\].
Hence, \[''5\] divided by the product of \[x\] and \[y\] can be written as \[\dfrac{5}{xy}\] which requires algebraic form.

Note: Each phrase tells you to operate on two numbers. Look for the words ‘of’ and ‘and’ to find which operation is applicable.
when we solve an algebraic expression we follow the rule of BODMAS where mathematical operations are followed as :
B- bracket
O- of
D- divide
M- multiply
A- addition
S - subtraction