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# How do you translate “The product of $6$and number y” into a mathematical expression?

Last updated date: 13th Jun 2024
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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.

Complete step-by-step solution:
Given that the product of $6$and the number “y”
Convert it in the form of mathematical expression: $6 \times y$
The above expression can be rewritten as: $6y$

Additional information: Be careful about the sign while doing simplification remember the golden rules-
i) Addition of two positive terms gives the positive term
ii) Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
iii) 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.
iv) Product of two positive terms gives resultant value in positive.
v) Product of two negative terms gives resultant value in positive.
vi) 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 fixed 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.