Question

K divided by 0.1 = 36 what is k

Answer 1

The value of
`\(k\)` in the equation
`\((k)/(0.1) = 36\) is \(k = 3.6\).`

Step-by-step explanation:

To find the value of
`\(k\)` in the given equation
`\((k)/(0.1) = 36\),` we can start by multiplying both sides of the equation by 0.1 to isolate
`\(k\).` The equation becomes
`\(k = 36 * 0.1\),`resulting in
`\(k = 3.6\).` This is because dividing by 0.1 is equivalent to multiplying by 10.

Mathematically, the process involves performing the inverse operation of the given division. Since
`\((k)/(0.1)\)` is equal to
`\(36\),` multiplying both sides by 0.1 on the left side isolates
`\(k\)`, giving us the solution
`\(k = 3.6\).`It's crucial to recognize that dividing by a decimal is equivalent to multiplying by its reciprocal, and understanding this concept aids in solving such equations.

In conclusion, the solution to the equation
`\((k)/(0.1) = 36\) is \(k = 3.6\),`and the process involves applying the inverse operation to isolate the variable. The solution aligns with basic arithmetic principles, reinforcing the understanding that dividing by a decimal is the same as multiplying by its reciprocal.

Answer 2

`(k)/(0.1) =36`

Multiply both sides by 0.1:

`((k)/(0.1) )*0.1=(36)*0.1`

`\fbox{k = 3.6}`