Question

Translate each into algebraic expressions

the reciprocal of a number decreased by 6?

Answer 1

'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:

• 1/n - 6

Explanation:

Background knowledge about the reciprocal of a number

In order to get the reciprocal of a number, we divide 1 by the number.

For example,

The reciprocal of number 9 is 1/9.

In our case,

The word phrase is:

''The reciprocal of a number decreased by 6''.

Breakdown of the phrase:

Let the number be = n

The reciprocal of a number n = 1/n

Now, the reciprocal of a number decreased by 6 means we need to subtract 6 from the 1/n.

i.e. 1/n - 6

Thus,

'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:

• 1/n - 6