The quotient of a number and -5 has a result of 2. What is the number?

Type the correct answer in the box. Use numerals instead of words.

[tex]\[ n = \boxed{\phantom{0}} \][/tex]



Answer :

To find the number whose quotient with -5 is 2, follow these steps:

1. Let's denote the unknown number by [tex]\( n \)[/tex].
2. According to the problem, when [tex]\( n \)[/tex] is divided by -5, the result is 2. This can be written as:
[tex]\[ \frac{n}{-5} = 2 \][/tex]
3. To isolate [tex]\( n \)[/tex] on one side of the equation, multiply both sides by -5:
[tex]\[ n = 2 \times -5 \][/tex]
4. Compute the right-hand side of the equation:
[tex]\[ n = -10 \][/tex]

So, the number is [tex]\( n = -10 \)[/tex].