Question

Which number produces a rational number when added to 0.42

Answer 1

Adding any rational number to 0.42 results in a rational number due to the closure property of rational numbers under addition. Examples include adding 0.58 to get 1.00 or adding a whole number like 3 to get 3.42.

Step-by-step explanation:

Any number added to 0.42 that is rational, which means it can be expressed as a fraction of two integers, will result in a rational number. Since 0.42 is rational itself (it's 42/100 or 21/50 in fraction form), adding another rational number to it will always give a rational result. This is because the set of rational numbers is closed under the operation of addition.

For example, adding 0.58, which is a rational number, to 0.42 gives us 1.00, which is also a rational number. Furthermore, adding any whole number, like 3, to 0.42 will also result in a rational number, such as 3.42. This is in line with the property that rational plus rational always equals rational.

Answer 2

Any Whole or Rational Number, 1 can be used as an Example if you want it Simple