Question

How do you write an expression for eight times a number used as a factor four times?

Answer 1

Hint: Here will read the given word statement twice and then will convert it in the form of the mathematical expression. We are asked to find the product of one constant and one variable. Here we will assume unknown number with any variable y

Complete step by step solution:
Given that the “$8$ times a number”
Let us assume that unknown term be: y
Convert it in the form of mathematical expression: $8 \times y$
The above expression can be rewritten as: $8y$
Also, given that eight times a number used as a factor four times,
Therefore, it can be expressed as - \[8y \times 8y \times 8y \times 8y\]

Additional Information:
Be careful about the sign while doing simplification remember the golden rules-
Addition of two positive terms gives the positive term
Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.
Product of two positive terms gives resultant value in positive.
Product of two negative terms gives resultant value in positive.
Product of one positive and one negative term gives value in negative.

Note: Always read the word statements twice, as it is the base of the further solution so understand it perfectly and then convert it in the form of mathematical expressions. Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which do not have any fix value and are denoted by small alphabets such as x, y, z, a, b, etc. Be careful while using the basic mathematical rules for simplifications.